Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,600 was collected on the sale of 1,160 tickets. How many of each type of ticket were sold?

Answers

Answer 1

Answer:

360 adult tickets and 800 student tickets were sold.

Step-by-step explanation:

Let's use a system of equations to solve this problem.

Let x be the number of adult tickets sold, and y be the number of student tickets sold. We know that a total of 1,160 tickets were sold, so:

x + y = 1160

We also know that the total amount collected was $2,600. The amount collected from adult tickets is $5 times the number of adult tickets sold, and the amount collected from student tickets is $1 times the number of student tickets sold. So:

5x + 1y = 2600

Now we have a system of two equations:

x + y = 1160

5x + y = 2600

We can solve for one of the variables in terms of the other, and substitute into the other equation to solve for the remaining variable. For example, we can solve the first equation for y:

y = 1160 - x

Now substitute this expression for y into the second equation:

5x + (1160 - x) = 2600

Simplifying and solving for x:

4x + 1160 = 2600

4x = 1440

x = 360

So 360 adult tickets were sold. To find the number of student tickets sold, we can use either equation. Let's use the first equation:

x + y = 1160

360 + y = 1160

y = 800

So 800 student tickets were sold.

Therefore, 360 adult tickets and 800 student tickets were sold.


Related Questions

which methods are best when you are dealing with seasonal data? mark all that apply
a. Exponential smoothing
b. Random walk
c. Simple moving averages
d. Autoregressive models
e. Regression based models

Answers

Exponential smoothing, simple moving averages, autoregressive models, and regression-based models are all commonly used methods for analyzing and forecasting seasonal data.

What is regression-based model?

Regression-based models are statistical models that use the relationship between a dependent variable and one or more independent variables to predict or explain the behavior of the dependent variable. These models estimate the strength and direction of the relationships between the variables by fitting a regression line or curve to the observed data. They can be used for both descriptive and predictive purposes and are widely used in various fields, including economics, finance, marketing, and social sciences. Examples of regression-based models include linear regression, logistic regression, and time-series regression.

Here,

Seasonal data refers to data that exhibits regular patterns that repeat over a fixed time period, such as weekly, monthly, or yearly. The methods that are best for dealing with seasonal data are those that take into account the regular patterns and fluctuations in the data over time. Methods that are best when you are dealing with seasonal data:

a. Exponential smoothing

c. Simple moving averages

d. Autoregressive models

e. Regression based models

To know more about regression-based model,

https://brainly.com/question/30461214

#SPJ1

joshua scored a 65, 80, 85 and 100 on his math tests. what score will joshua have to earn on his fifth test to have a mean score of 85?

Answers

Joshua scored 65, 80, 85, and 100 on his math tests. 90 score Joshua has to earn on his fifth test to have a mean score of 85

 

       To calculate the mean score, add up all of the scores and divide by the total number of tests.

       To figure out what score Joshua needs to get on the fifth test, use the formula:

            Total score = mean score × total number of tests

            Total score = 85 × 5

            Total score = 425

  Joshua's total score on all five tests must be 425. He has already earned 330 points from his first four tests (65 + 80 + 85 + 100).

  Therefore, Joshua must earn 95 points on his fifth test (425 - 330 = 95) to achieve a mean score of 85.

To learn more about mean score visit: https://brainly.com/question/17203075

#SPJ11

What is the slope from -7,5 to -3,4? Please help

Answers

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line and in the given situation the slope (m) is -1/4 respectively.

What do we mean by slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b.

M represents the line's slope.

And b is the b in the point that is the y-intercept (0, b).

For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.

So, the slope formula is:

m = y₂-y₁/x₂-x₁

Now, insert values as follows:

m = y₂-y₁/x₂-x₁

m = 4-5/-3-(-7)
m = -1/-3+7

m = -1/4

Therefore, in the given situation the slope (m) is -1/4 respectively.

Know more about slope here:

https://brainly.com/question/3493733

#SPJ1

Need help on my math homework

Answers

The classification of the angles are:

20° and 70°: complementary angles.

20° and 160°: supplementary angles

20° and 20°: vertical angles

How to interpret congruent angles?

Congruent angles are defined as two or more angles that are identical to each other. Thus, the measure of these angles are equal to each other. These type of angles do not make any difference in the congruence of angles, which tells us that they can be acute, obtuse, exterior, or interior angles.

Complementary angles are defined as two angle that sum up to 90 degrees. Thus: 20° and 70° are complementary angles.

Supplementary angles are defined as two angles that sum up to 180°. Thus: 20° and 160° are supplementary angles

Vertical angles are defined as angles that are opposite of each other when two lines cross. Thus they are congruent. Thus:

20° and 20° are vertical angles

Read more about Congruent angles at: https://brainly.com/question/14791175

#SPJ1

8,3,6,5,9,2 all are divisible by one same no.
what is it?

Answers

Answer:

Ignore this my answer is wrong

determine the value of such that the matrix is the augmented matrix of a linear system with infinitely many solutions.

Answers

The value of such that the matrix is the augmented matrix of a linear system with The system has an infinite number of solutions if $k=-1$.

To find out the value of $k$ that results in the matrix being the augmented matrix of a linear system with infinitely many solutions, you need to reduce the matrix to row echelon form and check the conditions. If you get a row of all zeroes but the last entry in that row is not zero, then there is no solution. If you get a row of all zeroes including the last entry in that row, then there are infinitely many solutions. Therefore, the value of $k$ that leads to the augmented matrix of a linear system with infinitely many solutions is $k=-1$.

A system of linear equations has an infinite number of solutions if and only if its augmented matrix, after being transformed to row-echelon form, has at least one free variable column.

The matrix in question is given as:

[tex]$$\begin{bmatrix}2 & -2 & 4 \\ -3 & 3 & -6 \\ 1 & -1 & k\end{bmatrix}$$[/tex]

To find the value of $k$, we need to convert it to a row-echelon form.

[tex]$$ \begin{bmatrix}2 & -2 & 4 \\ -3 & 3 & -6 \\ 1 & -1 & k\end{bmatrix} \overset{R2\rightarrow R2+\frac{3}{2}R1}{\longrightarrow} \begin{bmatrix}2 & -2 & 4 \\ 0 & 0 & 0 \\ 1 & -1 & k\end{bmatrix} $$[/tex]

Notice that the second row of the matrix is all zeros, so the system either has no solution or has an infinite number of solutions. Therefore, we need to determine the value of $k$ to figure out which of the two cases apply. Since the third row is independent, we can choose to work with it only.

[tex]$$1a - 1b = c \rightarrow c = a - b$$[/tex]

We can also write it as a linear combination of $a$ and $b$:

[tex]$$\begin{aligned} c &= a - b \\ &= a(1) + b(-1) \end{aligned}$$[/tex]

Therefore, it follows that if $k$ equals -1, we can rewrite the last row as a linear combination of the first two rows.

for such more question on infinite number

https://brainly.com/question/30304852

#SPJ11

C. If Brown has an imputed interest charge of 22%, compute the residual income of investment no. 3. Is this investment attractive from Glengarry's perspective? From Brown's perspective? Why?

Answers

A. Investment 1: ROI = 20%, Investment 2: ROI = 18%, Investment 3: ROI = 24%. B. Select Investment 3 with the highest ROI of 24% as it generates the most return for the investment amount.

C. Investment 3 is attractive with positive residual income, but from Brown's perspective, the imputed interest charge may reduce overall profitability.

A. To calculate the ROI for each investment, we can use the following formula:

ROI = (Income / Investment) x 100%

For Investment 1: ROI = (50,000 / 250,000) x 100% = 20%

For Investment 2: ROI = (54,000 / 300,000) x 100% = 18%

For Investment 3: ROI = (96,000 / 400,000) x 100% = 24%

B. If the manager's focus is on Glengarry's divisional performance, he would select Investment 3 because it has the highest ROI of 24%. This investment generates the highest return for the amount invested, which is the primary concern for divisional performance.

C. To calculate the residual income for Investment 3, we need to subtract the imputed interest charge from its profit margin traceable to the division:

Residual Income = Profit margin traceable to the division - (Average asset investment x Imputed interest rate)

Residual Income = 96,000 - (400,000 x 22%) = 96,000 - 88,000 = 8,000

From Glengarry's perspective, Investment 3 is attractive because it generates a positive residual income of $8,000. However, from Brown's perspective, it may not be as attractive because the imputed interest charge reduces the overall profitability of the investment.

Learn more about accounting here: brainly.com/question/22917325

#SPJ4

Complete question is in the image attached below

PLEASE HELP ME WITH THIS!!!
Which function will produce the graph below?

Answers

Answer: The second piece-wise function, f(x), will produce the graph given.

Find the value of x.
Hellllpppppppppppppppppppppppppppp

Answers

Answer: I really don't know the answer , and im really good at this math problem but i forgot how to do this

\

A few years ago, Mr. Cromleigh had been dying to go to a Taylor Swift concert. The tickets cost $65 each and he wanted to get 2 (for him and his mom of course!) He had been saving his allowance from his mom every week. He started with $40 and his mom would give him $10 a week to do chores around the house. How many weeks did it take him to earn the money to go to the concert?

It took him ------------------------------------ weeks until he was at the concert singing "Shake it Off" with his mom!

Answers

Answer: 9 weeks

i hope this helps you

Write the equation In standard form with inverter coefficients y= 1/2x-3/5

Answers

The equation in standard form with integer coefficients is -5x + 10y = -6.

What is coefficient?

A coefficient is a numerical or constant multiplier of a variable, term or expression.

According to question:

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers and A is positive. To convert the given equation y = (1/2)x - (3/5) into standard form, we can multiply both sides by the common denominator of 2 and 5, which is 10. This gives:

10y = 5x - 6

Rearranging the terms, we get:

5x - 10y = 6

Multiplying both sides by -1 to get the coefficient of x positive, we get:

-5x + 10y = -6

Therefore, the equation in standard form with integer coefficients is -5x + 10y = -6.

To know more about coefficient visit:

https://brainly.com/question/30066987

#SPJ1

Solve the system of equations.
7x+10y = 36
y = 2x +9
X =
y =​

Answers

After solving the given equations the value of x and y are -2 and 5 respectively.

What are equations?

An equation is a mathematical statement consisting of two expressions joined by an equal sign.

For example, 3x – 5 = 16 is an equation.

Solving this equation gives the value of the variable x as x = 7.

So, the equations are:

7x+10y = 36 ...(1)

y = 2x +9  ...(2)

Now, insert 2x+9 in equation (1):

7x+10y = 36

7x+10(2x +9) = 36

7x+20x+90 = 36

27x = -54

x = -54/27

x = -2

Then, the value of y:

y = 2x +9

y = 2(-2) +9

y = -4+9

y = 5


Therefore, after solving the given equations the value of x and y are -2 and 5 respectively.

Know more about equations here:

https://brainly.com/question/2972832

#SPJ1

Shyanne wants to buy a $75 hoodie. She has $25 saved so far. She mows lawns to make extra money and earns $20 for each lawn she mows. Which inequality can be used to determine the number of lawns, x, she needs to mow to have enough money to buy the hoodie?
A. 25+20x ≤ 75 B. 25+20x ≥ 75 C. 20+25x ≤ 75 D. 20+25x ≥ 75

Answers

Answer:

Katelyn needs to mow 3 lawns to have enough money to buy the skateboard.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, 'x' be the no. of lawns she has to mow.

Given, Katelyn wants to buy a $75.00 skateboard and she has $25.00 saved and she mows lawns to make extra money and earns $20.00 for each lawn he mows.

Therefore the inequality that represents this context is,

20x + 25 ≥ 75.

20x ≥ 75 - 20.

20x ≥ 55.

x ≥ 55/20.

x ≥ 2.75, But she has to mow a lawn completely to get paid so she must mow 3 lawns.

B 25+20x is greater than or equal to 75 is the correct inequality.

She would need to mow 3 lawns

If Joliet has a pedometer that shows she has walked 1428350 paces so far this year. Her average pace length is 0.84 metres. How many kilometres has she walked this year?

Answers

Answer:

kilometers she has walked his year is 1199.814 km

i hope it helps

have a nice day

Step-by-step explanation:

Find each length. Round to the nearest hundredth. 40. XZ

Answers

In right angle triangle ΔXYZ  in which ∠XYZ = 90° and ∠XZY i= 25°.

YZ =  33 inch, the length of XZ to the nearest hundredth is approximately 13.99 inches.

What is trigonometric function?

A trigonometric function is a mathematical function that relates the angles of a right triangle to the ratios of its sides. Three basic trigonometric functions are sine (sin), cosine (cos), and tangent (tan).

In a right triangle, if one angle is θ (where θ is not the right angle), then we can define the following trigonometric functions:

sine of θ (sin θ): the ratio of the length of the side opposite θ to the length of the hypotenuse

cosine of θ (cos θ): the ratio of the length of the adjacent side to the length of the hypotenuse

tangent of θ (tan θ): the ratio of the length of the side opposite θ to the length of the adjacent side

We can use the trigonometric function sine to relate the lengths of the sides in the right triangle XYZ. In particular, we know that:

sin(25°) = XZ / 33

To solve for XZ, we can multiply both sides by 33 and simplify:

XZ = 33 sin(25°)

XZ ≈ 13.99 (rounded to the nearest hundredth)

To know more about right triangle visit:

https://brainly.com/question/22986150

#SPJ1

Can you help me with these questions

Answers

Answer:

Step-by-step explanation:

xy=34

what fraction is most often used to approximate pi?

Answers

The fraction that is most often used to approximate pi is 22/7

What fraction is most often used to approximate pi?

The fraction 22/7 is often used to approximate pi. This is because 22/7 is a common fraction that is close to the decimal approximation of pi, which is 3.14159265359...

While pi is an irrational number that cannot be expressed as a finite decimal or fraction, 22/7 is a commonly used approximation that is easy to remember and gives a reasonable estimate of pi to two decimal places.

However, it is important to note that there are other fractions that can be used to approximate pi with greater accuracy, such as 355/113, which is accurate to six decimal places.

Nonetheless, 22/7 remains a popular approximation of pi in various contexts, from mathematics and engineering to everyday life.

Read more about fraction at

https://brainly.com/question/1330447

#SPJ1

The radius of the circular base of a cone measures 1.6 inches, and its slant height measures 2.5 inches.

What is the approximate lateral area of the cone?

Use π≈3.14.

Enter your answer rounded to the nearest tenth in the box.

Answers

Answer:

ans=8.80inch

Step-by-step explanation:

given,

radius(r)=1.6 inch

height(h=2.5 inch

laternal area of cone = AL=√πrh2+r2

√3.14*2.5^2+1.6^2

8.80 inch

The approximate lateral area of the cone is,

⇒ LSA = 10.5 inches

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

To find the approximate lateral area of the cone, we need to know the height of the cone.

Since we are not given the height, we can use the Pythagorean theorem to find it:

Slant height² = h² + r²

2.5² = h² + 1.6²

6.25 = h² + 2.56

h² = 6.25 - 2.56

h² = 3.69

h = √3.69

h = 1.92 in

We know that;

The lateral surface area of a cone is calculated using the formula,

LSA =πr√(r² + h²) square units.

Substitute all the values, we get;

LSA =πr√(r² + h²) square units.

LSA = 3.14 × 1.4√(1.6² + 1.9²) square units.

LSA = 5 √2.6 + 3.6

LSA = 5 √4.2

LSA = 5 × 2.1

LSA = 10.5 inches

Thus, The approximate lateral area of the cone is,

⇒ LSA = 10.5 inches

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Witch equation describes the line with a line a slope of 5 and y-intercept of -3

Answers

Answer:

I hope this helps

y = 5x - 3

Find the product. ( 5 6 ) ( 1 7 ) = (5)(1) (6)(7)

Answers

The product of the matrices ( 5 6 ) and ( 1 7 ) is equal to 47.

The number of columns in the first matrix must equal the number of rows in the second matrix in order for two matrices to be multiplied. In this instance, the 1x2 multiplied by 2x1 matrix satisfies this requirement.

In many disciplines, such as computer graphics, physics, and engineering, matrix multiplication is a key idea in linear algebra. It can be used to transform data, determine eigenvalues and eigenvectors, and solve systems of linear equations.

To get the product of two matrices, we need to perform the dot product of each row in the first matrix with each column in the second matrix.

Given the matrices ( 5 6 ) and ( 1 7 ), we can perform the dot product as follows:

( 5 6 ) ( 1 7 ) = ( (5)(1) + (6)(7) )

= (5 + 42)

= 47

Learn more about product here:

https://brainly.com/question/30284183

#SPJ4

find the ratio of 8m to 30cm​

Answers

Answer:

80:3

Step-by-step explanation:

8m = 800cm, so the ratio is 800cm:30cm

This can be divided by 10cm on both sides to get 80:3

Suav just started a running plan where he runs 20 miles the first week and then increases the number of miles he runs by 5% each week. If he keeps up this plan for 25 weeks, how many total miles would Suav have run, to the nearest whole number?

Answers

Suav would have run approximately [tex]$970$[/tex] miles in [tex]$25$[/tex] weeks, to the nearest whole number.

What are the whole numbers?

Whole numbers are the set of numbers that include all positive integers (1, 2, 3, ...) as well as zero (0). Whole numbers do not include any negative numbers or fractions. Therefore, the set of whole numbers is {0, 1, 2, 3, ...}.

Suav runs [tex]$20$[/tex] miles the first week. Let's use a formula to calculate the number of miles he runs in subsequent weeks. Let [tex]$m$[/tex] be the number of miles he runs in a particular week, and [tex]$w$[/tex] be the number of weeks elapsed since the first week. Then, we have:

[tex]$$m = 20 \cdot 1.05^{w-1}$$[/tex]

This formula takes into account the [tex]$5%$[/tex] increase in miles each week, starting from the initial [tex]$20$[/tex] miles in the first week.

To find the total number of miles Suav runs over [tex]$25$[/tex] weeks, we can sum up the miles he runs in each week using the formula above. That is,

[tex]$$\text{Total miles} = 20 + m_2 + m_3 + \cdots + m_{25}$$[/tex]

where [tex]$m_2, m_3, \ldots, m_{25}$[/tex] are the number of miles he runs in the second to [tex]25$th[/tex] week, respectively.

We can use the formula for [tex]$m$[/tex] to find each of these values. For example, the number of miles he runs in the second week is:

[tex]$$m_2 = 20 \cdot 1.05^{2-1} = 21$$[/tex]

Similarly, we can find the number of miles he runs in each of the other weeks:

[tex]m_3 &= 20 \cdot 1.05^{3-1} = 22.05[/tex]

[tex]m_4 &= 20 \cdot 1.05^{4-1} = 23.103[/tex]

[tex]&\vdots[/tex]

[tex]m_{25} &= 20 \cdot 1.05^{25-1} = 57.597[/tex]

Now, we can substitute these values into the formula for the total miles and simplify:

[tex]\text{Total miles} &= 20 + 21 + 22.05 + \cdots + 57.597 \&\approx 970[/tex]

Therefore, Suav would have run approximately [tex]$970$[/tex] miles in [tex]$25$[/tex] weeks, to the nearest whole number.

To learn more about whole numbers visit:

https://brainly.com/question/461046

#SPJ1

Answer

well if it is 5% each week, then it would be 20 +1. doing this for 25 weeks means it would be 20 + 25 then.

Sorry if wrong. i don't know if u do 5% after each time or from the main number. it doesn't say weather or not.

Step-by-step explanation:

p lz give me brainliest

What is the value of x?
Enter your answer in the box.
X =

Answers

The value of x is 41

What is a triangle?

When three line segments cross each other at three non-collinear points, a triangle is formed. A triangle is a three-sided polygon with three sides and three angles.

Using the Angle Bisector Theorem and assuming ED is an angle bisector

⇒ EG/EH = DG/HD

⇒ 49 / 58.8 = 35 / (x + 1)

⇒ 49 (x+1) = 58.8×35 ⇒ 2058

⇒ x + 1 = 2058 /49

⇒ x + 1 = 42

⇒ x = 41

To know more about triangle, visit:

https://brainly.in/question/17424774

#SPJ1

Complete question-

Assuming ED is an angle bisector and applying the Angle Bisector Theorem.

The value of x is 41

What is a triangle?

A polygon with three sides and three vertices is called a triangle. It belongs to the basic geometric shapes. A triangle with the parts A, B, and C is referred to as triangle ABC. Any three points that are not collinear in Euclidean geometry result in a separate triangle and a distinct plane. When three line lengths cross each other at three non-collinear points, a triangle is formed. A triangle is a three-sided polygon because it has three sides and three angles.

Assuming ED is an angle bisector and applying the Angle Bisector Theorem

[tex]\frac{EG}{EH} =\frac{DG}{HD} \\\\\frac{49}{58.8} =\frac{35}{(x+1)}[/tex]

49 (x+1) = 58.8×35 ⇒ 2058

x + 1 = 2058 /49

x + 1 = 42

x = 41

To know more about Angle Bisector, visit:

https://brainly.com/question/24334771

#SPJ1

The complete question is,

Assume that Ryan does save 10% for
retirement. If he allocates the remainder of his
take-home pay to entertainment, then what
percent of his total budget will entertainment
comprise? How much money will be budgeted
towards entertainment each month?

Answers

Entertainment will comprise 90% of Ryan's total budget. The amount budgeted towards entertainment each month will be 90% of his take-home pay.

What is the frequency?

The number of periods or cycles per second is called frequency. The SI unit for frequency is the hertz (Hz). One hertz is the same as one cycle per second.

According to the given information:

Let's assume Ryan's take-home pay is P dollars.

Given that Ryan saves 10% of his take-home pay for retirement, he will save 0.10P dollars.

The remainder of his take-home pay after saving for retirement will be 90% of his take-home pay, which is 0.90P dollars.

Now, if Ryan allocates the remainder of his take-home pay to entertainment, the percentage of his total budget that entertainment will comprise can be calculated as:

Percentage of entertainment budget = (Entertainment budget / Total budget) * 100

Since the entertainment budget is 0.90P dollars and the total budget is P dollars, the percentage of his total budget that entertainment will comprise is:

Percentage of entertainment budget = (0.90P / P) * 100

Percentage of entertainment budget = 90%

So, entertainment will comprise 90% of Ryan's total budget.

The amount of money budgeted towards entertainment each month will be 0.90P dollars, which is 90% of his take-home pay.

Therefore, Entertainment will comprise 90% of Ryan's total budget. The amount budgeted towards entertainment each month will be 90% of his take-home pay.

To know more about percentage visit:

brainly.com/question/24877689

#SPJ1

One hose can fill a goldfish pond in 42 minutes, and two hoses can fill the same pond in 30 minutes. Find how long it takes the second hose
alone to fill the pond.
It takes __ minutes for the second hose alone to fill the pond.

Answers

It takes 105 minutes for the second hose alone to fill the pond.

What is an expression?

An expression is a combination of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, and division, among others.

Let x be the time it takes for the second hose to fill the pond alone.

The rate at which the first hose fills the pond is 1/42 (ponds/minute).

The rate at which the second hose fills the pond is 1/x (ponds/minute).

The combined rate at which the two hoses fill the pond is 1/30 (ponds/minute).

Since they are filling the same pond, we can add their rates to get the combined rate:

⇒ 1/42 + 1/x = 1/30

To solve for x, we can simplify this equation;

⇒ 30x + 1260 = 42x

Subtracting 30x from both sides gives:

⇒ 1260 = 12x

⇒ x = 105

Therefore, it takes the second hose alone 105 minutes to fill the pond.

To know more about expression, visit:

https://brainly.com/question/1859113

#SPJ1

An item is regularly priced at $15. It is on sale for 85% off the regular price. What is the sale price

Answers

regular price is 100%, so if we take off 85% from that, that'd be 100% - 85% = 15%, so the sale price is really 15% of the regular price, well, we know regular price is $15.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 15}}{\left( \cfrac{15}{100} \right)15}\implies \text{\LARGE 2.25}[/tex]

which graph shows the solution to x-2y>9

Answers

The correct graph that shows the solution to x - 2y > 9 is B.

What is graph?

In mathematics, graphs can represent functions or equations, such as a line on a coordinate plane or a curve in a three-dimensional space. Graphs can also be used to represent data, such as a bar graph or a scatterplot, which can help to identify trends or correlations between different variables.

To graph the solution to the inequality x - 2y > 9, we can start by graphing the boundary line x - 2y = 9, which is the equation that results from replacing the inequality symbol with an equal sign.

The boundary line can be graphed by plotting two points on the line and connecting them with a straight line. To do this, we can choose any two values for x and y that satisfy the equation x - 2y = 9, such as:

x = 0, y = -4.5, giving us the point (0, -4.5)x = 9, y = 0, giving us the point (9, 0)

We need to determine which side of the boundary line represents the solution to the inequality x - 2y > 9. To do this, we can choose a test point on one side of the boundary line, such as (0, 0), and substitute its coordinates into the inequality.

Substituting (0, 0) into the inequality x - 2y > 9 gives:

0 - 2(0) > 9

which simplifies to:

0 > 9

The side of the line containing (0, 0) is not the solution. Therefore, the solution to the inequality x - 2y > 9 is the side of the line that does not contain the point (0, 0).

Therefore, the correct graph that shows the solution to x - 2y > 9 is B.

To learn more about graph visit:

https://brainly.com/question/1638242

#SPJ1

i need help and i can’t fine the right answer

Answers

The length of line segment AC is equal to 34 units.

What is the Tangent Secant Theorem?

In Mathematics and Geometry, the Tangent Secant Theorem states that if a secant segment and a tangent segment are drawn to an external point outside a circle, then, the product of the length of the external segment and the secant segment's length would be equal to the square of the tangent segment's length.

By applying the Tangent Secant Theorem to this circle, we have the following:

DC² = AB × BC

15² = (3x + 1) × 9

225 = 27x + 9

27x = 225 - 9

27x = 216

x = 216/27

x = 8

Now, we can determine the length of AC;

AC = AB + BC

AC = 3x + 1 + 9

AC = 3(8) + 1 + 9

AC = 34 units.

Read more on Tangent Secant Theorem here: https://brainly.com/question/26826991

#SPJ1

calculate the area of the shaded segment
in the circle shown in Fig. 12.45​

Answers

The area of the shaded segment of the circle will be 10.45cm².

How to calculate the area

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

The area of the segment will be calculated thus:

63°/360° × πr² - (1/2 × 10 × 10 × sin 63°)

= 63/360 × 22/7 ×10² × (1/2 × 10 × 10 × sin 63°)

= 55 - 44.55

= 10.45cm²

Therefore, the area of the shaded segment of the circle will be 10.45cm².

Learn more about area on;

https://brainly.com/question/25292087

#SPJ1

The picture below shows a pole and its shadow:

A pole is shown with a right triangle side. The right triangle has a hypotenuse of 221 cm and a base of 21 cm.
What is the height of the pole? (1 point)121 centimeters
220 centimeters
225 centimeters
231 centimeters

Answers

The height of the pole is 220 centimeters. We can solve it in the following manner.

We can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs (the sides adjacent to the right angle) is equal to the square of the length of the hypotenuse (the side opposite the right angle).

Let h be the height of the pole. Then, we have:

h² + 21² = 221²

Simplifying the right side of the equation, we get:

h² + 441 = 48841

Subtracting 441 from both sides, we get:

h² = 48400

Taking the square root of both sides, we get:

h = 220

Therefore, the height of the pole is 220 cm.

So, the answer is 220 centimeters.

Learn more about Pythagorean theorem here brainly.com/question/29769496

#SPJ1

Other Questions
In which of the following animals are the blood and the interstitial fluid considered to be the same body fluid?A grasshoppersB fishesC sparrowsD dogsE jellyfish and cnidarians Identify the groups of people who were most commonly Anti-Federalists.-state politicians-small farmers Which compound would undergo nucleophilic addition? A ethene, CH4 B bromoethane, CH,Br Cethanal, CHCHO D ethane, CH6 1. In what way are flamenco and jazz similar?Both originated in Africa. Both use the piano as their core instrument. They appeared around the same time. Both are made up of ingredients from many cultures. 2. Which ingredients make up flamenco music?Gypsy rhythms, Spanish guitar, Northern songsGypsy singing, melodies from Southern France, Moorish notesGypsy singing, Moorish notes, melodies from Northern SpainMoorish notes, Gypsy rhythms, melodies from Southern Spain3. In the late 1800's, what helped flamenco grow and mature as a style?Guitar music was added to the singing and dancing. The Moors left Spain. Special flamenco cafs were opened. Toca de palmas became a part of flamenco. Can anyone answer please!!! Calculate the unknown resistance R of the circuit as shown in figure, all resistance are connected in the series. The current is flowing through circuit is 2A and battery is of 20 voltage.a. 1b. 2c. 4d. 6e. 12 what is the answer to this write a sba on human and social biology DESCRIBE how Vus adjustment to his new American life differs from Ha's. Include at least three examples from the poem The Busy One (pp. 192-193) to support your thinking.It would help if you could answer this. By the way, it is from the book Inside Out and Back Again. after one year, a sample of radioactive material disintegrates to 90% of the original amount. for each part, round the answer to two decimal places. (a) find the half-life of the material. yr (b) find the time at which the material disintegrates to 80% of the original amount. a woman with severe preeclampsia is being treated with bed rest and intravenous magnesium sulfate. the drug classification of this medication is summarise the thesis statement of the text 'nature returns to the cities. 0provide three examples from the text on how the author develops his thesis statement Directions: Use the following websites to find out what government did to help people during the Great Depression and how individual people were affected by it. Post pictures that you find on the websites or pictures that go along with your detail.Websites:Look at some art created by Works Progress Administration (WPA) artists. Search this collection for your state to see what WPA artists created there, or choose another state. Great place for the government side!https://www.loc.gov/pictures/collection/wpapos/View one farmer's balance sheet and listen to his daughter-in-law discuss everything from poisoning grasshoppers to FDR to the "dirty thirties". Great for individuals! https://livinghistoryfarm.org/farminginthe30s/intro/making-money/marketing-in-the-1930s/a-1930s-balance-sheet/Learn how the stock market crash affected people in the Great Plainshttps://livinghistoryfarm.org/farminginthe30s/intro/making-money/what-followed-the-crash-2/Read a letter asking for pension help for an aging parent, and learn more about social security. Is Social Security something the government was doing?https://livinghistoryfarm.org/farminginthe30s/money_18.html Place the events involved in muscle contraction in the correct order Rank the options below Calcium ions are moved back into the sarcoplasmic reticulum by ATP-driven pumps. A nerve impulse causes acetylcholine (ACh) release at a neuromuscular junction. Myosin heads attach to actin and form crossbridges, A cyclic "attach, pivot detach, return event occurs. Calcium ions bind to troponin, causing tropomyosin to move and expose active sites. Calcium ions are moved back into the sarcoplasmic reticulum by ATP-driven pumps. A nerve impulse causes acetylcholine (ACh) release at a neuromuscular junction Myosin heads attach to actin and form crossbridges. A cyclic "attach, pivot, detach, return" event occurs. Calcium ions bind to troponin, causing tropomyosin to move and expose active sites. ACh binds receptors on the motor end plate, initiating a muscle impulse Myofilaments passively return to their original state. Can I get help with this question? Communication can take the form of: Effective, verbal, non-verbal, electronic Spoken/verbal, non-verbal, written, visuals Spoken/verbal, non-verbal, electronic, written Effective, ineffective, verbal, written how, then, do cells use the hydrolysis of atp to perform cellular work? a complete response would include the following terms: energy coupling, endergonic/exergonic, phosphate transfer, and phosphorylated intermediate 2 identical metal spheres having equal and similar charges repel each other with a force of 103 N when they are placed 10 cm in a medium of dielectric constant 5. Determine the charge on each sphere a sales associate has decided to concentrate on trying to obtain listings from a particular neighborhood. the associate believes this should increase knowledge of the market and improve the likelihood of success. which term refers to approach to the real estate business? 9. If we tell our teacher that we didn't do our homework, she will be very angry ImperativeSubjunctiveIndicativeConditionalInterrogative If the mass of Jupiter is defined as 1 M_j = 1.90 10^27 kg, what is the mass of Saturn (5.68 10^26 kg) in units of M_j?What is the mass of Earth (5.97 10^24 kg) in M_j?What is the mass of Neptune (1.02 10^26 kg) in M_j?