The main unknown at this point is "the number of adult tickets." The "number of children's tickets" is another factor that is unknowable. In order to assign two variables, do as follows:
Let a = # of adult tickets
and c = # of children's tickets.
What is meant by variables?Any traits, figures, or amounts that may be gauged or counted are considered variables. Another name for a variable is a data item. Variables include things like age, sex, business income and expenses, birthplace, capital expenditures, class grades, eye color, and vehicle type.
Setting up the equations using the unknowns that follow the word problem is the next step. Here are the details:
There are 460 tickets total because there are an adult ticket and a child ticket.
a + c = 460.
Now that we know we want to find the number of adult tickets, we can translate the basic equation a + c = 460 into terms of a:
a + c = 460
-a = -a (For example, use -a to delete a from the left side of the equation on either side.)
c = 460 - a
We can now enter the equation c into the other equation, 8.75a + 3.50c = 3143, since we have the equation c expressed in terms of a.
Now, we need to find the value of c in the first equation so that we can plug it into the second equation:
292 + c = 460
-292 = -292
c = 168
(8.75 × 292) + (3.50 × 168) = 3143
2555 + 588 = 3143
3143 = 3143
Therefore, We each have 3143
The complete question is:
For a show adult tickets are $8.75 and children's tickets are $3.50. 460 tickets were sold for a total of 3143 how many adults tickets were sold?
Adult ticket = 8.75
child ticket = 3.50
460 tickets we're sold totaling 3143
how many adults tickets were sold
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slope intercept form of y + 6 = (x - 4)
Make a tree diagram to show sample space. Then select the total number of outcomes.
choosing a card with a square shape or a circle shape and spinning a spinner and it landing on orange, blue, yellow, red, or
green.
a. 5
c.15
b. 10
d. 20
Answer:
B. 10
Step-by-step explanation:
The first choice has 2 options: square or circle
The second choice has 5 options: orange, blue, yellow, red, or green.
2 x 5 = 10 total outcomes
Which method can you use to prove these triangles congruent?
Answer:
the hl theorem that says that if a leg and a hypotenuse of a right triangle are congruent to a leg and a hypotenuse of another right triangle, the two triangle are congruent
Step-by-step explanation:
The measures of the exterior angles of a triangle are 5x°, 7x°, and 8x°. Find the measure of the largest exterior angle.
Answer:144
Step-by-step explanation:
estimate number of jelly beans in 1 litre jar...please help
Answer:
1000
Step-by-step explanation:
it is much that's why period
What are the domain and range of the logarithmic function?
The domain and range of the logarithmic function is given by:
Domain= [ 0 , ∞ ) and Range = { y ∈ R }.
As given in the question,
Let y = logₐ x be the given logarithmic function.
Logarithmic function is defined for all the positive values.
Domain of the logarithmic function is given by x∈ R , x > 0.
Range of the logarithmic function is inverse of the domain of the exponential function.
x = e^y
Here y is set of all the real numbers.
Range of logarithmic function is set of all the real numbers.
Therefore, domain of the logarithmic function is set of all real number greater than zero and range of the logarithmic function is the set of all the real numbers.
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PLEASE HELP W THE QUESTIONS IN IMAGE ILL GIVE BRAINLIEST
Answer:
53
Step-by-step explanation:
Why are sine and cosine ratios always less than 1?
Answer:
Step-by-step explanation:
The simple explanation is that the hypotenuse and sides of a right triangle are always shorter than one another. Therefore, any side's to any hypotenuse's ratio will never be greater than 1. The figure is no longer a triangle when the angle is 0 or 90 degrees because one of the sides vanishes and the other side lines up with the hypotenuse. For this reason, sin and cosine have values of 0 or 1 in these extreme situations.
Convert the mixed numbers to improper fractions.
Aim :
We have to convert them into improper fractions as they are into mixed fractions. So let's start..!!
Solution :
1) [tex] \bf{ 1\dfrac{5}{8} }[/tex]
Multiply 8 into 1 and add 5 into it,
[tex]: \: \implies \: \sf{ \dfrac{8 \times 1 \: + \: 5}{8}} \\ \\ : \: \implies \: \sf{ \dfrac{8 \: + \: 5}{8}} \\ \\ : \: \implies \: \red{\sf{ \dfrac{13}{8}}}[/tex]
_______________________________________
2) [tex] \bf{ 4\dfrac{2}{5} }[/tex]
Multiply 4 into 5 and add 2 into it.
[tex]: \: \implies \: \sf{ \dfrac{4\times 5 \: + \: 2}{5}} \\ \\ : \: \implies \: \sf{ \dfrac{20 \: + \: 2}{5}} \\ \\ : \: \implies \: \red{\sf{ \dfrac{22}{5}}}[/tex]
_______________________________________
3) [tex] \bf{ 2\dfrac{6}{8} }[/tex]
Multiply 8 into 2 and add 6 into it after multiplying.
[tex]: \: \implies \: \sf{ \dfrac{2 \times 8 \: + \: 6}{8}} \\ \\ : \: \implies \: \sf{ \dfrac{16 \: + \: 6}{8}} \\ \\ : \: \implies \: \red{\sf{ \dfrac{22}{8}}}[/tex]
please assist with helping in the image below!!
I need help on this because I think I forgot how to like it looks easy and stuff but I need a refresher and then I will do the rest !!!
Answer:
(1) 64
(2) 8
(3) 2187
(4) 6x^4
Step-by-step explanation:
Answer:
Refer to the attachment
Make the mathematical expressions. Simplify them and find the correct answers. a) The total cost of 4 pens at Rs 20 each, 5 pencils at Rs 5 each and 2 boxes at Rs 60 each.
Answer:
Step-by-step explanation:
Cost of 1 pen = 20 rupees
Cost of 4 pens = 20 x 4 = 80 rupees
Cost of 1 pencil = 5 rupees
Cost of 5 pencils = 5 x 5 = 25 rupees
Cost of 1 box = 60 rupees
Cost of 2 boxes = 60 x 2 = 120 rupees
therefore, total cost = 80 + 25 + 120 = 225 rupees
What is a log 10 transformation?
A log 10 transformation is a mathematical operation that is used to change the scale of a variable in a data set. The log 10 transformation is applied to the variable by taking the base-10 logarithm of each value in the data set. The result of this operation is a new variable that is on a different scale than the original variable.
The log 10 transformation is commonly used in statistics and data analysis to normalize data that is on a large scale, such as data that spans several orders of magnitude. By applying the log 10 transformation, the data is transformed into a more manageable scale that is easier to work with and analyze.
The log 10 transformation can also be used to stabilize the variance of a variable, this is particularly useful when the data is positively skewed. The log 10 transformation can also be useful for data that has a multiplicative relationship, for example, population growth or stock prices.
It is important to note that the log 10 transformation can only be applied to data that is positive and greater than zero because the logarithm of zero or a negative number is not defined.
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Please answer ill give 40 points
To rewrite the inequalities in slope-intercept form, the student would first need to solve for y.
2x + 3y > 6 can be rewritten as 3y > -2x + 6 and then solving for y by dividing both sides by 3, the student can have y > (-2/3)x + 2
x-4y > 8 can be rewritten as -4y > -x + 8, and then solving for y by dividing both sides by -4 , the student can have y < (1/4)x - 2
To graph the inequalities, the student would plot the y-intercepts of the equations, which are (0,2) and (0,-2) and then use the slope to find a second point to plot, and then graph the line. Then, based on the inequality symbol the student should shade the appropriate side of the line. If the inequality is greater than > or less than < then they shade one side, otherwise if the inequality is less than or equal to >= or greater than or equal to <= they shade both sides.
It's also important to remember that the slope intercept form is y=mx+b where m is the slope, and b is the y-intercept, if the student already has the equation in this form, they only need to plot the y-intercept point and use the slope to get a second point.
Please help !! As soon as possible
Answer:
32.9% i think
Step-by-step explanation:
The temperature at a location was recorded for 5 days. The median temperature was 72
degrees. On four of the days, the temperatures were 67, 72, 77, and 52 degrees. Which of the
following is not a possible temperature for the fifth day?
83
79
80
70
Answer:
70
Step-by-step explanation:
First, put the values they gave you in order from least to greatest.
52 62, 72, 77
In order for the median to be 72, it has to be in the middle of the data set. Since there are 2 values on the left of 72, there must be 2 values on the right. The data set is also in order from least to greatest, so we know that the last value has to be over 72. Because it is placed to the right of 72. The only value of the options that isn't greater than 72 is 70.
The unlikely temperature of the fifith day is 70.
The The median of an observation is the number that is in the middle of a set of numbers arranged in ascending or descending order.
The median temperature is 72. So, it has to lie in the middle of the observation. Let the temperature of the fifth day be represented with x. The unknown temperature has to be greater than 72 because there are already two numbers less than 72.
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help!!!! this is graded and no links!!!
Answer:
30
Step-by-step explanation:
Step 1: Find the area of the whole figure
The whole figure is a rectangle with a width of 4cm and a length of 12cm
The area of a rectangle can simply be calculated by multiplying the width by the length
So area = 4 * 12 which = 48
So the area of the whole figure is 48cm²
Step 2: Find the area of the non shaded area
The non shaded area forms a triangle with a base length of 9cm and a height of 4cm
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height
That being said we plug in the values into the formula
[tex]A=\frac{9*4}{2} \\9*4=36\\\frac{36}{2} =18[/tex]
Hence the area of the non shaded region is 18cm²
Final step: Our last step is to subtract the area of the non shaded region by the area of the whole figure
so the answer = 48 - 18 which equals 30
Hence the area of the shaded region is 30 square centimeters.
Please look below for the question :)
Answer:
well i think its over 103.10 because 11 months divide 2 fraction then take 1 carry or instead use calculator and type 0077239812 this binary!! and divide by 23 and thats the answer its only like decimals from the point!!
Step-by-step explanation:
Does this help?
Answer:
$59.50Step-by-step explanation:
Lets work out the equation for the given relationship.
This is a linear relationship.
Find the slope first:
(21.75 - 19.50)/(3 - 2) = 2.25Use one pair of points to get the equation:
c - 19.50 = 2.25(m - 2)c - 19.50 = 2.25m - 4.50c = 2.25m + 15We see the yearly fee is $15 and monthly rate is $2.25.
If we apply the changes to rates the equation becomes:
c = (2.25*2)m + (15 - 5) = 4.5m + 10Find the cost of 11 months of membership:
c = 11*4.5 + 10 = $59.50A rectangular school banner has a length of 21 inches and a perimeter of 66 inches. A sign is made that is similar to the school banner and has a length of 7 inches. What is the perimeter of the sign?
The perimeter of the sign is 22 inches.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
A rectangular school banner has a length of 21 inches and a perimeter of 66 inches.
Let the perimeter of the sign for the length of 7 inches of the banner = x
So, By definition of proportion, we get;
⇒ 21 / 66 = 7 / x
Solve for x;
⇒ x = 7 × 66 / 21
⇒ x = 22
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vvv Please help vvv
Find the value of x.
in a school, students either study french, german or spanish. They study one language each. 11 percent of students study french 27percent students study spanish. what fraction of the students study German
Answer:
62%
Step-by-step explanation:
First, you got the formulate: 1-27%-11%
Second, calculate the difference: 0.73-0.11
Third, the sum is 0.62
Then you multiply 0.62 ×100\100
Write a single fraction: 0.62×100\100
Calculate the product or quotient: 62\100
100% to a percentage: 62%
That is your answer 62%
Need help ASAP Geometry Assignment
The figure also has a line symmetry for the vertical line x is 5, and a line symmetry for the horizontal line y is 5 .Therefore the figure has both symmetry
What is meant by line symmetry ?A form or item is divided into two equal and symmetrical portions by a line of symmetry. Because it creates a symmetrical split in the figure and the separated pieces look like mirror reflections of one another, we also refer to this line as the axis of symmetry or the mirror line.
An imaginary line that splits a line or shape into two identical parts is called the axis or line of symmetry. The symmetry axis of a parabola will be required of you at higher level mathematics. This u-shaped line on the graph is a parabola.
B) The transformation that maps the figure unto itself are therefore;
1) Rotating the figure 180° about the point (5, 5) which is the center of the figure
2) The figure reflected across the line x = 5 and the figure reflected across the line y = 5
The complete question is : Determine if the figure below has rotational symmetry, line symmetry or both and
describe the transformation that mas the figure onto itself. BE SPECIFIC. You must
name the center of rotation and degree of rotation if it has rotational symmetry or lines of reflection if it has line symmetry
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How do you find the sine cosine and tangent of an acute angle?
The sine , cosine and tangent of an acute angle can be find by using:
Sin θ = Opposite side/HypotenuseCos θ = Adjacent/HypotenuseTan θ = Opposite/AdjacentAcute Angle:
Acute angles are defined as angles less than 90 degrees, i.e. angles between 0° and 90°. Examples include 60°, 30°, 45°. A triangle with all interior angles less than 90° is called an acute triangle. For example, an equilateral triangle is an acute triangle because its interior angles are 60°.
Sine of an Acute Angle :
The sine of an angle in a right triangle is the ratio of the opposite side of the angle to the hypotenuse. The sine function is the important periodic function in trigonometry, with period 2π. To understand the derivation of sin x, consider the unit circle centered at the origin of the coordinate plane. On the boundary (perimeter) of this circle the variable point P moves. Note that P is in the first quadrant and OP makes an acute angle of x radians with the positive x-axis. PQ is the perpendicular from P to the horizontal axis.
Cosine:
Cosine or cos x is the trigonometric periodic function. Imagine a unit circle centered at the origin of the coordinate plane. The variable point P moves on the circumference of this circle. From the figure, we can see that P is in the first quadrant and OP forms an acute angle of x radians with the positive x-axis. PQ is the perpendicular from P to the horizontal axis. A triangle is therefore formed by connecting the points O, P, and Q as shown. where OQ is the base and PQ is the height of the triangle.
Tangent:
The tangent function is one of the six most important trigonometric functions, commonly written as tan x. It is the ratio of the opposite side to the adjacent side of the angle considered in a right triangle. There are various trigonometric identities and formulas related to the tangent function that can be derived using various formulas. The period expression for the tangent function f(x) = a tan (bx) is given by Period = π/|b|. The tangent function tan x is periodic, with period π/1 = π (because b = 1 for tan x).
So the formula for tan x is:
tan x = sin x/cos x
tan x = opposite side/adjacent side
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A stack of 200 file folders is 5. 125 inches tall. A. Elena guesses that each file folder is 0. 035 inches thick. Explain how you know that Elena’s answer is not correct
To know whether Elena is correct or not, you need to find out the height of each stack of file folder.
Assume that all 200 files have the same height.
Let the height of each file folder be m inches.
So, by unitary method the height of each file folder would be,
m = Total height of stack / Number of file folders
here, the total height of stack = 5.125 inches
And the number of file folders = 200
So, m = 5.125 / 200
m = 0.0256 inches
But Elena guesses that each file folder is 0. 035 inches thick.
This means, Elena is wrong as the answer Elena gave is too large than the actual answer.
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Here is the histogram of a data distribution. All class widths are 1.
What is the median of the distribution?
A. 7
B. 4
C. 9
D. 5
Answer:
D) 5
Step-by-step explanation:
1,2,2,3,3,3,4,5,6,6,7,7,7,8,9
there are 15 data values so the 8th one is the median
You want to determine the number of students in your school who have visited an art museum. You survey 36 students in the art club. Twenty-seven have visited an art museum, and nine have not. So, you conclude that 75% of the students in your school have visited an art museum.
Determine whether the conclusion is valid.
Answer:
The sample is large enough, representative of the entire population, and chosen randomly so the conclusion is valid.
The conclusion that 75% of the students in your school have visited an art museum is valid.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Percentage is usually denoted by the symbol '%'.
Given that,
Total number of students in the art club being surveyed = 36
Number of students who visited art museum = 27
Number of students who does not visited art museum = 9
Percentage of students who visited art museum = (27 / 36) × 100
= (3/4) × 100
= 0.75 × 100
= 75%
Hence the conclusion that 75% of the students in your school have visited an art museum is valid.
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There arent any answers for this one online
Answer:
I believe it is 240 ft
Step-by-step explanation:
It says its wrong. I do not know how to mark you the brainliest
Answer:
A) Angle 2, Angle M
B) Angle M
C) Angle NM (or MN), Angle QM (or MQ)
Step-by-step explanation:
A) So M is the vertex of angle QMP, and the picture tells you that it's angle 2
B) M is the middle angle
C) The diagram shows you the answer
Nassim spends $15.00 on colored pencils, $10.00 on a sketchbook, $3.50 on erasers, and $4.95 on a colored pencil blender. He hands the clerk $35.00.
What could he receive in change?
Answer: 1.55
Step-by-step explanation:
please help if you know the answer i need to get my grade up
Work hard to get all your work done and still have time to study.
How can you request a grade increase?Highlight your drive to improve. It is critical that your lecturer recognizes your desire to enhance your course performance. During your meeting, ask the professor for advice on how to enhance future assignments. “I’m really committed to improving my grade in this course,” try stating.
Say what you feel is wrong with your grade calmly and professionally. Present additional examinations and assignments that indicate your abilities, and provide a solution that you believe is feasible. Be persuading and confident, but don’t think you know more or better than your teacher.
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