Each boy in a class has 11 pockets and each girl in the class has 13 pockets. How many boys and how many girls are in this class if all 21 students have a total of 251 pockets? Please answer ASAP and please no links.

Answers

Answer 1

Answer:

10 girls

11 boys

Step-by-step explanation:

set up a system of equations:

b represents boys, g represents girls

b+g=21           (since there is a total of 21 students)

11b+13g=251   (since each boy has 11 pockets, each girl has 13, total of 251)

i chose the method of substitution, so i solved the first equation to get

b=21-g

then i substitute 21-g for b in the second equation, and solve:

11(21-g)+13g=251

231-11g+13g=251

2g+231=251

2g=20

g=10

then, i solved for boys (by choosing the top equation and substituting 10 for g, since we now know that g=10)

b+g=21

b+10=21

b=11

so there are 10 girls and 11 boys in this class

Answer 2

There are 10 girls and 11 boys in the class.

What is an equation?

"It is a statement which consists of equal symbol between two mathematical expressions."

What is system of equations?

"It is a finite set of equations for which we find a common solution."

For given example,

Let 'x' be the number of girls and 'y' be the number of boys.

Each boy in a class has 11 pockets and each girl in the class has 13 pockets.

And in this class if all 21 students have a total of 251 pockets.

So, we have system of equations,

⇒ x + y =21                                 .......................(1)

⇒ 13x + 11y = 251                        .......................(2)

From equation (1),

x = 21 - y                                  ......................(3)

Substitute this value of 'x' in the equation (2),

⇒ 13(21 - y) + 11y = 251

⇒ 273 - 13y + 11y = 251

⇒ 273 -2y - 273 = 251 - 273

⇒ -2y = -22

⇒ y = -22 / -2

y = 11

This means, there are 11 boys in the class.

Substitute the value of 'y' in equation (3),

⇒ x = 21 - 11

x = 10

This means there are 10 girls in the class.

Therefore, there are 10 girls and 11 boys in the class.

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Related Questions

7.3 significant figure

Answers

Answer:

7.0

Step-by-step explanation:

from the first figure which is not a 0

7.3-7.0(1 significant figure)

PLEAS EHLP ME I DONT UNDERSTAND EXTRA POINTS AND BRAINLIEST PLEASE HLEPS!!!!!!!!!!!!!!!!!!!!


Karsik borrowed $8,500 from a bank. During a period of five years, he paid a total of $2,125 in interest. What was the simple annual interest rate that the bank charged Karsik for his loan?

0.05%

0.5%

5%

7.7%

Answers

Answer:

5%

Step-by-step explanation:

Use the Zero Product Property to find the x-intercepts (roots) of the following quadratic equations. You MUST show all work for full credit!



a. `y=(2x+7)(x-13)

Answers

Answer:

x=-7/2, x=13

Step-by-step explanation:

2x+7=0

2x=-7

x=-7/2

x-13=0

x=13

n 2010, the population of a small town in Alabama was 8,250 people. By 2015, the population had decreased by 10%. From 2015, to 2020, the population then increased by 15%. What was the population of the town in 2020

Answers

The population of a city is increasing at a rate of 4% each year. In 2020, there were. 236,000 people in the city.

What is population?A population is the complete set group of individuals, whether that group comprises a nation or a group of people with a common characteristic. In statistics, a population is the pool of individuals from which a statistical sample is drawn for a study. Thus, any selection of individuals grouped by a common feature can be said to be a population.A sample may also refer to a statistically significant portion of a population, not an entire population. For this reason, a statistical analysis of a sample must report the approximate standard deviation, or standard error, of its results from the entire population. Only an analysis of an entire population would have no standard error.

Given, In 2015, the population of the town decreased by 10%, so [tex]8250 x 10/100 = 825[/tex]  people left the town, bringing the population down to [tex]8250 - 825 = 7425.[/tex]

From 2015 to 2020, the population increased by 15% so [tex]7425 x 15/100 = 1113.75[/tex] people came back to the town, bringing the population to [tex]7425+1113.75 = 8538.75[/tex]

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What is a 2 step equation example?

Answers

The general two steps to solve the two-step equations are:

Step 1: Addition and subtraction to isolate the variable.

Step 2: Multiplication or division to determine the value of the variable.

Now, According to the question:

Solving Two Step Equations:

Two step equations are very easy to solve. It includes just one extra step as compared to one-step equations to solve. We can solve a two-step equation by isolating the variable (usually represented by an alphabet or letter) on one side of the equation and all other values on the other side. The general two steps to solve the two-step equations are:

Step 1: Addition and subtraction to isolate the variable.

Step 2: Multiplication or division to determine the value of the variable.

Generally, two step equations are of the form ax + b = c, where a, b, c are real numbers. A few examples of two step equations are:

2x + 3 = 70.3y + 5 = 1(2/3)z - 12 = 10

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A scuba diver is at a depth of -14 ft. Her
elevation changes -2 ft per second. How many
seconds will it take her to reach a depth of
79ft? Write and solve an equation.

Answers

On solving the provided question, we can say that - by the help of unitary method seconds will it take her to reach a depth of 79ft is = 39.5

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

scuba diver is at a depth of  = -14 ft

elevation changes  = -2 ft per second.

seconds will it take her to reach a depth of 79ft is = 39.5

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is the following table Proportional or Non proportional?

HELP PLS:(

Answers

Answer: proportional

Step-by-step explanation: I took the test and looked it up on 3 different websites like duh

What the function?
y = 2.5x + 8

Answers

Answer:

Step-by-step explanation:

This is a linear function with y-intercept (0, 8) and slope 2.5.

HURRY WILL GIVE BRAINLIEST Maria lives at the corner of 3rd Avenue and 5th Street. Pierre lives at the corner of 9th Avenue and 14th Street. They decide to leave their houses and meet at the library located 13of the distance from Maria's apartment. In their city, avenues run eastto west and streets run north to south. If each street and avenue is spaced 1 unit apart, at what intersection will Pierre and Maria meet?

Answers

Answer:

5th Avenue and 8th street

Step-by-step explanation:

The points are (3,5)  and (9,14) for their locations where x= avenue and y= street.

The distance is 1/3 so it can be calculated in the following way

1/3 of ( 9-3) +3 = 1/3*6 + 3= 2+3= 5

1/3 of (14-5) + 5= 1/3*9 + 5= 3+5=8

5th Avenue and 8th street

Pierre and Maria will meet at 5th Avenue and 8th street

The scatter plot shows a hikers elevation above sea level overtime. The equation of the trend line is shown y equals 8.77x plus 686. To the nearest whole number predicted hikers elevation will be at 145 minutes

Answers

The predicted elevation of hikers at 145 minutes, based on the trend line equation, y = 8.77x + 686 is 1,958.

What is a trend line equation?

A trend line equation is the equation of a linear relationship, represented as y = mx + b.

In this linear equation, y is the dependent variable, x is the independent variable, m is the slope, and b is the y-intercept.

Equation:

y = 8.77x + 686, where x = 145 minutes

Therefore,

y = 8.77(145) + 686

y = 1,271.65 + 686

y = 1,957.65

y = 1,958

Thus, after 145 minutes of hiking, hikers' elevation will be 1,958 units.

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At the gift shop entrance, fans go
through security at a rate of 15 people in
25 seconds. At that rate, approximately
how many people will go through security
in 135 seconds?

Answers

81 people because if you divide 135 seconds by 25 seconds you get 5.4 which you would multiply by 15 to get 81.

Solve = 3/5k + 7/10 = 11/15k – 2/5​

Answers

i get 11/2 is this wright answer??

Are 3 4 5 triangles always right?

Answers

No, three 4 5 triangles are not always right triangles.

A right triangle is a triangle in which one of the angles is a right angle (90°). Therefore, in order to be a right triangle, the following criteria must be met: a^2 + b^2 = c^2, where c is the longest side and a, b are the other two sides. In a 3 4 5 triangle, the longest side is 5, so a^2 + b^2 = c^2 becomes 3^2 + 4^2 = 5^2. Using simple algebra, this equation becomes 9 + 16 = 25, which is true. Therefore, a 3 4 5 triangle is a right triangle. However, if one of the sides is different, for example a 3 4 6 triangle, the equation becomes 9 + 16 = 36, which is not true. Therefore, a 3 4 6 triangle is not a right triangle. To summarize,3 4 5 triangles are right triangles, but three 4 6 triangles are not.

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Given: (↔AB) ║ (↔CD)
If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of (↔AB) is (?) . If the coordinates of point D are (5 , 5), the equation of line (↔CD) is y =(?) x +(?).

can someone please help me figure out what the (?) is.

Answers

1) m = y2 - y1/x2 - x1
y = mx + b
m = 7 - 0/3 - 8
y = -7/5x + 11.2
2) y= -7/5x + 12
(the slope or m stays the same because the two equations are parallel)

Answer:

1. 56/5

2. -7/5

3. 12

Step-by-step explanation:

The four-digit numeral $3AA1$ is divisible by $9$. What digit does $A$ represent?

Answers

The digit A stands for 7 when the four-digit number is divisible by 9 and is given by 3AA1.

Characteristics of numbers that divide by 9

A number is divisible by 9 if the sum of its digits is also 9-divisible.

Numbers that are 9 - divisible are also called multiples of 9. Multiples in mathematics are the outcomes of multiplying an integer by a certain number.

Using the aforementioned attribute, we can say

3 + A + A +1 = 9, 18, or 27

4 + 2A =  9, OR 18, OR 27

taking 18

2A = 18 - 4

2A = 14

A = 7

Because of this, the whole digits are 3771

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What are the roots of the equation 2x^2 3x 5 0?

Answers

The roots of the equation 2x² - 3x - 5 = 0 are 5/2 and -1.

The quadratic formula is a formula that can be used to find the solutions (or roots) of a quadratic equation. For a quadratic equation written in the form ax² + bx + c = 0, where a, b, and c are constants, the quadratic formula is given by:

x = (-b ± √(b²- 4ac))/(2a)

Where x is the solution, a, b, and c are the coefficients of the equation.

Plug in the coefficients of the equation 2x² - 3x - 5 = 0 to the quadratic formula to find the roots.

x = (-b ± √(b²- 4ac))/(2a)

x = (3 ± √((-3)²- 4(2)(-5)))/(2)(2)

x = (3 ± 7)/4

x = 5/2   ;   x = -1

Hence, the roots of the equation are 5/2 and -1.

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The rate of growth dP / dt of a population of bacteria is proportional to the square root of t, where P is the population size and t is the time in days (0 ? t ? 10) as shown below.
dP/dt=k \sqrt{t}
The initial size of the population is 300. After 1 day the population has grown to 600. Estimate the population after 8 days. (Round your answer to the nearest whole number.)

Answers

The population of bacteria after 8 days is 7088

Here, we have been given an equation for the rate of growth of a population of bacteria

dP/dt = k√t

where P is the population size

and t is the time in days (0 ≤ t ≤ 10)

We rewrite above equation as,

dP = k√t dt

Integrating both sides, we get,

P = (2/3) × kt^(3/2) + C

We find the value of C.

For t = 0, P = 300 as the initial size of the population is 300.

Substitute t = 0 in above equation.

300 = 0 + C

C = 300

So, the above equation becomes,

P = 300 + (2/3) × kt^(3/2)                .......(1)

Now we find the value of k.

After 1 day the population has grown to 600.

substitute t = 1, P = 600 in equation (1)

600 = 300 + (2/3) × k

(2/3)k = 300

k = 900/2

k = 450

So, the equation of population of bacteria after time t is:

P = 300 + [(2/3) × 450 × t^(3/2)]

P = 300 + 300 × t^(3/2)

P = 300 (1 + t^(3/2))

To find the population after 8 days, substitute t = 8

P = 300 (1 + 8^(3/2))

P = 7088.22

P ≈ 7088

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45 PTS (find:m<3) don’t explain.

Answers

Answer:

142

Step-by-step explanation:

38+x = 180

x = 142

Answer

Step-by-step explanation:

Hey, there!

Let's simply solve it.

As there is given that L and M are parallel. Use all

the condition or properties of parallel lines.

Here use:

vertically opposite angle.

coointerior angles sum is 180°.

Now,

angle 6= 38° { Vertically opposite angle}. angle 6+ angle 5 = 180° { as sum of coointerior angles are equal to 180°}

38°+angle 5 = 180° or, angke 5 = 180°-38°

Therefore, angle 5 = 142°

Now, angle 3 = angle 5 { Vertically opposite angle} Therefore, the measure of angle 3 is 142°. hope it helps...

7. $5,000 was invested at a simple interest
rate. In 15 years, the account was worth
65 hundred dollars. What was the interest
rate?

A 0.2%
B 1.5%
C 2%
D 2.15%

Answers

Answer:

C. 2%

Step-by-step explanation:

(6500-5000) / 15 / 5000 x 100% = 1500 / 15 / 5000 x 100% = 100 / 5000 x 100% = 0.02 x 100% = 2%

The times taken by 25 people to complete a puzzle are shown. Draw a frequency polygon for data.

Answers

To create a frequency polygon calculate the midpoint,  locate the midpoints and connect them with lines.

What is a frequency polygon?

A frequency polygon is a form of graph that shows how frequently a particular variable—in this case, the amount of time it takes for people to finish a puzzle—occurs.

So, we must determine the midpoint or average of the range for each category.

0 < t < 10 = 5

10 < t < 20 = 15

20 < t < 30 = 25

30 < t < 40 = 35

2. Add a point where the data of the axis Y and X form an intersection.

3. Connect the points.

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a group of classmates surveyed how other students travel to school the results of the survey are shown in the table at right make a circle graph showing the results of the survey using percents, bus- 90, ride bike- 30, ride in car- 75, walk- 45.

Answers

So, on solving the provided question, we can say that equation of diagonal WY is 13.03 units

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

by d=√((x2 – x1)² + (y2 – y1)²).

Coordinates of W = (-4,5) and Y = (3,-6)

= √((3 – (-4))² + (-6 – 5)²)

= √170

= 13.03 units

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Write 63 521. 769 correct to the nearest hundred

Answers

63 100 521 500 769 800

Alex conducted an experiment with a spinner. He recorded the frequency of each spin landing on letters A through D. Based on the data in the table, what is the experiment probability that the next spin will land on the letter B ?


Answers

It’s 1/4 because there are only 4 options

For example you reach into a bag of 10 marbles 4 are blue and 6 are red what is the probability of getting a blue marble? Easy 4/10 cause there’s only 4

Help help help help help

Answers

Answer:

area = 254.5 m²

Step-by-step explanation:

area = πr² = (3.14159)(9²) = 254.46 m²

Find the solutions to x² = 24.
OA. x= 16-√4
B. x = +2√6
O C.
x = +6√ √2
OD. x +4√6

Answers

Answer:

x = 2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{24}[/tex] = [tex]\sqrt{(2)(2)(2)(3)}[/tex]  We can pull out a pair of 2's

2[tex]\sqrt{(2)(3)\\}[/tex] = 2[tex]\sqrt{6}[/tex]

ALGEBRA 2 - Exponential and Logarithmic Functions
John invests $25,000 in an account that pays 4.75% annual interest compounded continuously. How many years, to the nearest tenth, will it take for John’s investment to triple?

Answers

Answer:

The equation you would use to solve this problem is:

A = P * e^(rt)

Where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of years.

We can rearrange the equation to solve for t:

t = (ln(A/P)) / r

Plugging in the values we know:

t = (ln(3*25000/25000)) / (0.0475)

t = (ln(3)) / (0.0475)

t = 4.93 years

So it will take about 4.9 years for John's investment to triple, to the nearest tenth.

Step-by-step explanation:

write as the opposite of a square root: -2 times square root of 3

Answers

the answer would be -144

you would have to multiply 3 by square 2, then multiply them which would be 3*4=12 and then you would square that which is 144 and because it is negative it would be -144

What are the terms of expression 4x² 3xy?

Answers

The given expression , 4x2 – 3xy is having two terms which are 4x2 and –3xy.

The term 4x2 is a product of 4 and x, whereas the other  term (–3xy) is a product of (–3), x and y.

When we will join these two terms using the addition operation we will get the result as  4x2 – 3xy .

The given equation is an example of an algebraic expression and they are made up of combination of constants and variables. They are joined to each other by various operations such as addition , multiplication , division and subtraction.

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What is the 3 example of quadratic equation?

Answers

The three examples of quadratic equations are x(x - 2) = 4, x(2x + 3) = 12 and 3x(x + 8) = -2

The term quadratic equation also known as quadratic expression referred as an equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.

Here the examples of quadratic equations in other forms is written as follows:

=> x(x - 2) = 4

Here we have to multiply and then moving the 4, then we get the quadratic expression as,

=> x² - 2x - 4 = 0

Another example like the following,

=> x(2x + 3) = 12

Here we have to multiplying and moving the 12, then we get the resulting expression as,

=> 2x² - 3x - 12 = 0

Final example for quadratic expression is written as

=> 3x(x + 8) = -2

When we multiplying and moving the -2, then we get the simplified form as

=> 3x² + 24x + 2 = 0

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Write mathematical sentence of X→ a.

Answers

Answer:

X tends to a or x approaches to a .

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