Students surveyed boys and girls separately to determine which sport was enjoyed the most. After completing the boy survey, it was determined that for every 3 boys who enjoyed soccer, 5 boys enjoyed basketball. The girl survey had a ratio of the number of girls who enjoyed soccer to the number of girls who enjoyed basketball of 7: 1. If the same number of boys and girls were surveyed, and 90 boys enjoy soccer, how many girls enjoy each sport?

Answers

Answer 1

Ratio of boys who liked soccer to boys who liked basketball = 3:5

Given :-

Number of boys who enjoyed soccer :-

[tex]\color{hotpink} = \color{hotpink}90 \: \: \color{hotpink}boys[/tex]

Total number of boys who were surveyed were equal to the total number of girls who were surveyed .

Which means :-

Let the total number of boys who were surveyed be x .

Total number of boys =

[tex] = \frac{3}{8} \times x = 90[/tex]

[tex] = x = 90 \div \frac{3}{8} [/tex]

[tex] = x = 90 \times \frac{8}{3} [/tex]

[tex] = x = \frac{720}{3} [/tex]

[tex]\color{hotpink}x =\color{hotpink} 240[/tex]

Which means a total of 240 boys were surveyed .

Number of boys who liked basketball :-

[tex] = \frac{5}{8} \times 240[/tex]

[tex] = \frac{1200}{8} [/tex]

[tex]\color{hotpink} = 150 \: \: boys[/tex]

Which means a total of 150 boys liked basketball .

Number of girls who liked soccer :-

[tex] = \frac{7}{8} \times 240[/tex]

[tex] = \frac{1680}{8} [/tex]

[tex]\color{hotpink} = 210 \: \: girls[/tex]

A total of 210 girls enjoyed soccer .

Number of girls who enjoyed basketball :-

[tex] = \frac{1}{8} \times 240[/tex]

[tex] = \frac{240}{8} [/tex]

[tex]\color{hotpink} = 30 \: \: girls[/tex]

A total of 30 girls like basketball .

Therefore , 210 girls enjoyed soccer and 30 girls enjoyed basketball .


Related Questions

How many yards are there in 2.00 feet? (3 ft = 1 yd)

Answers

Answer: .667 yard

Step-by-step explanation:

Hope this helps

Answer:

0.66666666667 Yards

Step-by-step explanation:

google is always right

What is the slope of 1.5x+4.5y=18 ,and how do you know?​

Answers

Answer:

m=-1/3

Step-by-step explanation:

The slope of this line is m=-1/3 because if you use the slope-intercept formula, y=mx+b, m is the slope. If you take this equation and plot two points on a line that has this equation, the slope will be negative if the line forms an obtuse angle on the 0 line. In this case, m=-1/3 as the line goes back 1/3 unit for every unit in this equation. Hope it helps!

Answer:  the slope is -0.33...   The does means that 3 is repeating.

Step-by-step explanation:

First we will convert the equation into slope intercept form, which is the same way of solving for y in the equation.

1.5x + 4.5y = 18     Solve for y by first subtracting 1.5x from both sides

-1.5x               -1.5x

4.5y  = 18 - 1.5x     Now divide both sides by 4.5

y= 4- 0.33x

y= -0.33x + 4    Now the slope is the coefficient of the variable x which is the number that comes after the variable.

In this case, the slope is -0.33...

HELP I NEED THIS RIGHT KNOW!!!!!!!
Explain what
m(4)=90 means in context. (1pts)

Answers

Answer:

[tex]m(4)=90 \\ m = \frac{90}{4} \\ m = 22.5[/tex]

what is the positive square root of 9/16​

Answers

Answer:      |√9/16|     =  ¾ or .75

PLz mark brainliest:)

I think the answer is .75:)

Someone please help me

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Question A = 30
Question B = answer choice A
question c = answer choice B
question d = answer choice A

solve the equation. check your solution 6(5-2v)=-4(3v+1)​

Answers

30-12v=-12v-4
34-12v=-12v
34=0
no solution

Who was Genghis Khan and how did he and
his Mongol armies impact Japan?

Answers

Answer:

Genghis Khan, the leader of the Mongolian army, began his campaign to take over the known world in 1206 CE. Within 50 years, Genghis Khan and his ferocious mounted warriors had extended their Mongolian empire throughout China and Korea in the east and as far as Poland and Russia in the west. After awhile, lost power as many warlords fell into bankruptcy.

what is the inverse of the function f(x) = 2x+ 1?

A. h(x) = 1/2x -1/2
B. h(x) = 1/2x + 1/2
C. h(x) = 1/2x - 2
D. h(x) = 1/2x + 2

Answers

[tex]f(x) = 2x + 1[/tex]

[tex]y = 2x + 1[/tex]

Subtract sides -1

[tex]y - 1 = 2x + 1 - 1[/tex]

[tex]y - 1 = 2x[/tex]

[tex]2x = y - 1[/tex]

Divided sides 2

[tex] \frac{2}{2}x = \frac{y - 1}{2} \\ [/tex]

[tex]x = \frac{1}{2}y - \frac{1}{2} \\ [/tex]

Thus ;

[tex] {f}^{ - 1} = h(x) = \frac{1}{2}x - \frac{1}{2} \\ [/tex]

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So the correct answer is (( A )) .

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What is the greatest four-digit multiple of 18?


Please help me

Answers

Answer:

9990.

Step-by-step explanation:

(16,3) ,(16,-80) is it zero slope undefind slope negative slope or positive slop

Answers

It positive because it shows more

PLEASE HELP.!! ILL GIVE BRAINLIEST *EXTRA POINTS* DONT SKIP.!! :((

Answers

-59 is the lowest one

-59, -41, -23, -11.

I can see how this can be confusing, Just remember if its a negative number, the bigger it is, the smaller the quantity, if that makes sense.

Evaluate 1/3 x 5/6.

A. 1/15
B. 6/15
C. 5/18
D. 3/30

Answers

Answer:

C

Step-by-step explanation:

1x5=5

3x6=18

and you can't simplify 5/18.

Answer:

5/18

Step-by-step explanation:

1 times 5 equals 5.  3 times 6 equals 18.

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

0 is 14, 1 is 12.25, 2 is 10.50, and 3 is 8.75

HELP QUICK
Find the y-intercept of the graph of the equation given. Write your answer as an ordered pair.


-5x+2y=10

Answers

The y-intercept is 5
B/c when you solve the equation for y you get
y=5/2x+5
So replace

2.7.4 practice on Apex in GEOMETRY
REALLY CONFUSED!

Answers

The 2.7.4 practice on Apex in geometry focuses on the Pythagorean theorem and its applications. Students are assessed on their ability to apply the theorem to solve problems involving distances, heights, and lengths in right triangles.

The concept of 2.7.4 practice on Apex in geometry is a crucial topic that students must understand to excel in the subject. Geometry is the study of shapes, sizes, positions, and angles of objects and figures in space. The 2.7.4 practice on Apex in geometry mainly focuses on the Pythagorean theorem and its applications.

The Pythagorean theorem is a mathematical formula that is used to calculate the length of a right triangle's hypotenuse. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagorean theorem is one of the most fundamental concepts in geometry, and it is essential to understand how to apply it in problem-solving. The 2.7.4 practice on Apex in geometry provides students with an opportunity to test their understanding of the Pythagorean theorem.

Students are expected to apply this theorem to solve problems related to distance, height, and length. The practice tests are designed to assess students' ability to use the Pythagorean theorem to calculate the length of the hypotenuse in a right triangle.

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Dominic bought a new video game that was on sale for 35% off. If the original price is 29.95, what will the amount be that Dominic pays?

Answers

Answer:

19.47

Step-by-step explanation:

what is 5 divided 1/3

Answers

Answer:

15

Step-by-step explanation:

basic math.

Answer:

its 15 i believe

Step-by-step explanation:

Help me plz!!!!!!!!!!!!!!!

Answers

Answer:

  $2.40

Step-by-step explanation:

sales tax = 30 * .08 = $2.40

10 : 35 fraction in simplest from

Answers

- 2/7

What is 10/35 Simplified? - 2/7 is the simplified fraction for 10/35.

-BBBM

PLEASE HELP it’s literally easy

Answers

Answer:

it would be 4 right (the last one)

Step-by-step explanation:

Strip malls appear to popping up everywhere. The relationship between the actual price of a strip mall and the listing price is modeled in the least-squares regression line Ĉ = 0.2 + 1.011. Both amounts are in hundred-thousands of dollars. Let L represent the listing price and C represent the sales price. Which of the following is the best interpretation of the slope of the regression line?
A)For each hundred-thousand-dollar increase in the listing price, the sales price will increase by $1.01.
B)For each hundred-thousand-dollar increase in the listing price, the sales price will increase by $101,000,
C)For each hundred-thousand-dollar increase in the listing price, the sales price will decrease by $101,000.
D)For each hundred-thousand-dollar increase in the listing price, the sales price is predicted to increase by $1.01.
E)For each hundred-thousand dollar increase in the listing price, the sales price is predicted to increase by $101,000.​

Answers

Answer:

The correct option is;

E) For each hundred-thousand dollar increase in the listing price, the sales price is predicted to increase by $101,000

Step-by-step explanation:

Whereby the relationship between the actual price of a strip mall and the listing price is modeled according to the least squares regression line as follows;

C = 0.2 + 1.01·L

Where;

L = The listing price

C = The sales price

Where both amounts are in hundred-thousands of dollars;

Therefore, given that the slope is 1.01, we have that for an increase of $100,000 for the listing price, L, which is 1 unit increase the sale price increases as follows

C₁ = 0.2 + 1.01 × 1 = 1.21

While for an increase of an extra $100,000, to make the listing price. $200,000 or 2 units, we have;

C₂ = 0.2 + 1.01 × 2 = 2.22

The increase is C₂ - C₁ = 2.22 - 1.21 = 1.01

C₂ - C₁ = $100,000 × 1.01 = $101,000

The increase is C = $101,000

Whereby, the equation is a linear regression line which is a model for prediction, we have;

The predicted increase in the sale price is $101,000 for each $100,000 increase in the listing price.

HURRY!!! NEED IT FAST ! WILL MARK BRAINLIEST!!!

Answers

Answer:

-6.666

Step-by-step explanation:

Answer:

-2/5

Step-by-step explanation:

Let's plug in all of the numbers: [tex]\frac{-(-2^2)(4(-3)-5(-2))}{3(4)-4(-2)}[/tex]

We get [tex]\frac{-(-4)(-12+10)}{12+8}[/tex]

Simplify further to get [tex]\frac{4(-2)}{20}[/tex]

Or [tex]\frac{-8}{20}[/tex]

Which can be simplified to -[tex]\frac{2}{5}[/tex]

2x + 7 = - 4x + 11
what’s the answer?

Answers

Answer:x=2/3

Step-by-step explanation:

Evaluate 5 + (-4) + (-7) +2

Answers

Answer:

5+(-4)+(-7)+2

5-4-7+2

5-11+2

5+2-11

7-11

-4

answer : -4
..................

Is each pair of equations equivalent? explain.
4y+2x=-7
2y-6x=8

Answers

No, because 4y+2x=-7 in slope intercept form is y=-1/2x-7/4 and 2y-6x=8 is y=3x+4
Hope this helps if so pls mark brainliest

how many y- values are there for each x-value in the function represented by the graph?

A.0
B.1
C.2
D. infinitely many

Answers

Answer:

D

Step-by-step explanation:

There are only 1, y- value are there for each x-value in the function represented by the graph.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The function represented by the graph.

Here, The graph shows the line which has only one y - value for the each x-value in the function.

That is,

For x = 0,

Value of y = - 4

Hence, There are only 1, y- value are there for each x-value in the function represented by the graph.

Learn more about the function visit:

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Sue has 18 sweets
Tony also has 18 sweets

sue gives Tony x sweets

Answers

Answer:

18 sweets?

Step-by-step explanation:

Not much info to help me answer it

the cylindrical bucket contains 314 cubic inches of water. the height of the water is 4 inches. what is the radius of the bucket, to the nearest whole number? use 3.14 for pi

Answers

Answer: 5 (apex) , ur welcome .

Step-by-step explanation:

hey yall i need help again im just lazy but will mark brainlyest

Answers

Answer:

1) 1

2) 1

3) 5/6

4) 3/10

5) 5/6

6) 2/7

7) 3/8

8) 5/14

Simplify

3 /6 − 1/ 7 =

3 /6 − 1 /7 =

3 /6 + −1 /7 =

1 /2 + −1 /7 =

7 /14 + −2 /14 =

7+−2 /14 =

5 /14

(Decimal: 0.357143)

9) 2/9

10) 2/21

Step-by-step explanation:

Taylor bought a necklace for each of her three sisters. She paid $7.50 for each necklace. Supposed she had $9 left. How much money did she have initially to spend on each sister?

Answers

Answer:31.50$

Step-by-step explanation:

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