Among the 7th graders in a middle school, three quarters of them play at least one sport. Among the 7th graders who play sports, half of them play more than one sport. Among the 7th graders who play more than one sport, one third of them play more than two sports. Among the 7th graders who play more than two sports, one quarter of them play more than three sports. Sixteen 7th graders play more than three sports at the school. How many 7th graders are in the school

Answers

Answer 1

Answer:

512

Step-by-step explanation:

Let the number of 7th graders in the school is x.

As three-quarters of them play at least one sport, so, the number of 7th graders who play sport = [tex]\frac 3 4 x[/tex].

Among the 7th graders who play sports, half of them play more than one sport. So, the number of 7th graders who play more than one sport [tex]= \frac 1 2\times \frac 3 4 x=\frac 3 8 x[/tex].

Among the 7th graders who play more than one sport, one-third of them play more than two sports. So, the number of 7th graders who play more than two sport [tex]= \frac 1 3\times \frac 3 8 x=\frac 1 8 x[/tex].

Among the 7th graders who play more than two sports, one-quarter of them play more than three sports.

So, the number of 7th graders who play more than three sport [tex]= \frac 1 4\times \frac 1 8 x=\frac{1}{32} x[/tex].

7th graders play more than three sports at the school= 16

[tex]\Rightarrow \frac{1}{32} x=16[/tex]

[tex]\Rightarrow x =16 \times 32[/tex]

[tex]\Rightarrow x = 512[/tex]

Hence, the total numbers of 7th graders in the school are 512.


Related Questions

1. (02.01 MC) Celine has a bottle that contains 20% milk and the rest water. The bottle has 1 liter of water. Part A: Write an equation using one variable that can be used to find the total number of liters of milk and water in the bottle. Define the variable used in the equation. (5 points) Part B: How many liters of milk are present in the bottle? Show your work. (5 points) (10 points)

Answers

Answer:

A. Total number of liters = 1.25 liters

B. Milk = 0.25 liters

Step-by-step explanation:

Let

x = total number of liters ( milk + water )

Milk = 20% of x

= 0.2x

Water = 1 liter

Total number of liters = milk + water

x = 0.2x + 1

x - 0.2x = 1

0.8x = 1

Divide both sides by 0.8

x = 1 / 0.8

= 1.25

x = 1.25 liters

Total number of liters = 1.25 liters

B.

Liters of milk in the bottle = Total number of liters - liters of water

= 1.25 liters - 1 liter

= 0.25 liter

Milk = 0.25 liters

If u place a 13 foot ladder against a 12 foot building,how many feet will the Ladder be from the building

Answers

Answer:

5 feet

Step-by-step explanation:

When you place the 13 foot ladder, the ladder, floor, and wall forms a right triangle and the ladder will become the hypotenuse.

We use the Pythagorean Theorem. Let x be the distance from the building.

x^2 +12^2 = 13^2

x^2 + 144 = 169

x^2 = 169 - 144

x^2 = 25

Take the square root of 25 and you get 5

x = 5

Which equation can be used to find T the number of tickets each class needs to sell so that the total amount raised is the same for both classes

Answers

Answer:

C.

Step-by-step explanation:

If you know how much each class is selling tickets for and how much they've already raised then you take those two values and set them equal to each other.

2.5t + 350 = 3t + 225

To actually find the number of tickets each class would have to sell you would just solve for t.

Question 2
Identity the numbers that make the statement below tree
58=-= a postave number
A
B
6.3
c
500
D
5.9
E
-7.3
F
8.2
PLEASE HELP TIMED TEST!!!!!

Answers

Step-by-step explanation:

I am a math genis but the is hard

Sal made 8 ft of sausage links on Friday morning. He used 4 ft for dinner service on Friday night. On Saturday morning, he made another 8 ft of sausage links and used 12 ft for dinner service Saturday night. What is the net change in the amount of sausage Sal had from Friday morning until after dinner service Saturday night?

Answers

Answer:

Net change in the amount of sausage Sal had from Friday morning until after dinner service Saturday night = 8 - 0 = 8 ft

Step-by-step explanation:

Amount of  sausage links made on Friday morning = 8 ft

Amount of  sausage links used on Friday night = 4 ft

Amount of  sausage links remaining = 8 - 4 = 4ft           (i)

Amount of  sausage links made on Saturday morning = 8 ft         (ii)

So,

Total amount of  sausage links = 8 + 4 = 12 ft   (from (i) and (ii) )

Amount of  sausage links used on Saturday night = 12 ft

Amount of sausage links remaining = 12 - 12 = 0 ft

Net change in the amount of sausage Sal had from Friday morning until after dinner service Saturday night = 8 - 0 = 8 ft

will give free brainlyest
Answer the following question using a Collins Type 2 writing format:
Give 1-2 reasons how reading current event articles help us better understand geographic issues?

Answers

Step-by-step explanation:

Because by reading the article they help us find the information we need to find and better understand the current events for geography issues.

“without using technology describe the end behavior of f(x) equals negative 3X to the 4th+ 7X squared -12 X +13” PLEASE HELP!!!!

Answers

the end behavior is as x reaches infinity, f(x) reaches infinity and as x reaches negative infinity, f(x) reaches infinity.

What is the result of solving this equation for x?

y−b=m(x−a)

Answers

Answer:
x=(y-b)/m

Explanation:
y-b=m(x-a)
Divide both sides by m
(y-b)/m=x-a
Add a to both sides
(y-b)/m+a=x
x=(y-b)/m

I hope this helps! Please comment if you have any questions.

How are the key features of a linear function identified and interpreted from a description?
Help I’m dying with math lol

Answers

Answer:

Key features of a linear function from a table are the ordered pairs which are points on a line.In the equation,the slope of the function which is the rate of change and the y-intercept value are indicated.

Step-by-step explanation:

A case of soda has 24 cans in it. There are 12 cases of soda. 1) What is the total number of cans of soda there are? 2) The soda is donated to 7 (seven) teams. How many cans of soda does each team get? {include remainder}

Answers

Answer:288 number of cans.288 divided by 7=41

Step-by-step explanation:

HELO ASAP CONVERT ALL OF THE FOLLOWING TO STANDARD NOTATIONS

Answers

Answer:

5. 78300000

6. 25000

7. 0.000008345

8. 0.003

Step-by-step explanation:

when the exponent is negative, the decimal moves to the left

when the exponent is positive, the decimal moves to the right

Find f'(a)/ f(x)=[tex]\sqrt{2-2x}[/tex]

Answers

Answer:

f = √2-2x

Step-by-step explanation:

vshsgshbeeyvecv

Step-by-step explanation:

Hoping I didnt take it wrong from the question!

8 out of every 20 spectators were girls. There were a total of 1560 spectators at the game. How many of the spectators were girls

Answers

Answer: I think the answer is 624 girls im sorry if its wrong if it is can you please correct me

Step-by-step explanation:

the answer is 624 girls.

Last year, 140 people in a community had cell phones. This year, the number
of people in the community with cell phones has increased by 65%.
A. Wat is the percent of increase?
65%
B. What is the change in the number of people with cell phones?
C. How many people in the community have cell phones this year?

Answers

Answer:

Part B: 91 people

Step-by-step explanation:

Sorry i cant add a explanation, because im still learning about it.

Olivia is a stockbroker. She earns 4% commission when she sells stocks. Last week, she earned 7200 in commission. a. What was the total amount of her sales?

Answers

Answer:

1800

Step-by-step explanation:

7200 percent divided by 4 percent equals 1800

What is the midpoint between n(- 4, 4) and (- 2, 2)

Answers

(-3,3) is the midpoint between the two

Write −0.48 as a fraction in simplest form.

−0.48=
I would also like an explanation too please! please answer ASAP

Answers

Answer:

Answer:

-12/25

Step-by-step explanation: We already know that -48/100=-0.48, so we can just write -48/100 in simplest form which is -0.48. So, your answer is -0.48

Step-by-step explanation:


For the pair of points, find the slope of the line that passes through both points.
(1,1) and (7,5)

Answers

5-1/7-1
4/6
Answer 2/3

Tom bought 2 pounds bananas for $3. How much would it cost for 5 pounds of bananas?

Answers

I think it is $7.50 because you divide 3/2 to find how much 1 pound is which is 1.50 and you want to find how much 5 pounds are so you multiply 1.50 x 5 which is $7.50

Answer:

It would be $7.50.

Step-by-step explanation: 2 pounds of bananas is $3, so we know that 4 pounds of bananas would be $6. Now, 1 pound of bananas would be $1.50! Because 1 pound is half of 2 pounds. Knowing this, one pound of bananas would be $1.50, beucuase its half.

Which equation does not represent a function? Why? A) y = x2; There are two outputs for each input. B) y2 = 4x; There are two outputs for each input. C) y = x; The output value is the same as the input value. D) y = −x; The output value is the opposite of the input value.

Answers

Answer:

B) y² = 4x; There are two outputs for each input

Step-by-step explanation:

For an equation to be called a function, the input values for x must only result in a single output for y.

Based on this definition if a function, the functions y = x², y = -x and y = x are all functions because for any value of x imputed in them, we can only get one equivalent value of y.

The only exception is the function y²= 4x

For this function, for any value of x, there will be more than one output for y. Take x = 1 for example

y² = 4(1)

y² = 4

y = ±√4

y = ±2

This shows that y = 2 and -2

Also if x = 4

y² = 4(4)

y² = 16

y = ±√16

y = ±4

y = 4 and -4

No matter the value of x imputed, the output value y will always be two (a positive and a negative value)

Hence, option B is correct.

Answer:

B

Step-by-step explanation:

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1

In a scatterplot what does the term outlier mean?

Answers

Answer:

An outlier is defined as a data point that emanates from a different model than do the rest of the data. ... If the outlier is omitted from the fitting process, then the resulting fit will be excellent almost everywhere (for all points except the outlying point).

An outlier for a scatter plot is the point or points that are farthest from the regression line. ... If a number of points are the same farthest distance from the regression line, then all these points are outliers. If all points of the scatter plot are the same distance from the regression line, then there is no outlier.

Step-by-step explanation:

Answer:

An outlier is defined as a data point that emanates from a different model than do the rest of the data. ... If the outlier is omitted from the fitting process, then the resulting fit will be excellent almost everywhere (for all points except the outlying point).

Step-by-step explanation:

Just copy the first part of the person above me or this one its the same but I put the first graph on and go it right. ;)

7 -14m = 2m - 5 multi step variables on both sides

Answers

7 - 14m = 2m - 5

  +14m   +14m        (add 14 on both sides)

_____________

7 = 16m - 5

+5         + 5            (add 5 on both sides)

_____________

12 =  16m

__    ___             (divide 16 on both sides)

16      16

m = 0.75

Answer:

m = 3/4

Step-by-step explanation:

7 - 14m = 2m - 5 (given)

7 + 5 - 14m = 2m - 5 + 5 (addition poe)

*add 5 to both sides to cancel -5 out*

12 - 14m = 2m

12 - 14m + 14m = 2m + 14m (addition poe)

*add 14m to both sides to cancel -14m* out*

12 = 16m

12/16 = 16m/16 (division poe)

*divide by 16 on both sides to cancel out the coefficient*

12/16 = m

m = 12/16 (symmetric property)

*mirror to the other side*

m = 12÷4/16÷4 (division poe)

*divide the numerator and denominator by its greatest common factor*

m = 3/4

In City A, the temperature rises 7 degrees F from 8AM to 9AM. Then the temperature drops 6 degrees F from 9AM to 10AM. In City B, the temperature drops 2 degrees F from 8AM to 9AM. Then the temperature drop 4 degrees F from 9AM to 10AM. Write an expression that represents the change in temperature from 8AM to 10AM for each city. Simplify and interpret each sum.

Answers

Answer:

is there like a image of this eqation?

Step-by-step explanation:

Determine whether AB and MN are parallel, perpendicular, or neither.
Graph each line to verify your answer: A(-1,4), B(2.-5), M(-3,2). N(3, 0)

Answers

Answer:

Neither

Step-by-step explanation:

They need a 90°angle to be perpendicular.

And it has to not be touching to be parallel.

PLEASE HELP f(x)= x-2. Find the inverse of f(x)

Answers

Answer:

It's A

Step-by-step explanation:

Which graph represents a function with a rate of change of 0.5?
5
1
-5 -4 -3 -2
4
5
Ty
5
4
3
2
1

Answers

It’s 5 because the other ones not important


Helppppp! I dot know the answer

Answers

Answer:

L

Step-by-step explanation:

the square root is 7.2111111. thats the closest

Answer:

C. l

Step-by-step explanation:

The square root of 52 is about 7.211.

Since there is a negative sign in front of the square root, then it means that the answer is about -7.211.

On the number line you have a little bit over -7.3, a little less than -7.3 and a little more than -7.2. The closest answer would be the point that is a little more than -7.2.

Please correct me if I am wrong. I hope this helps!

Find the sum of 3-7i and 8+4i
A. 22-8i
B. 11+3i
C. -22+8i
D. 11-3i

Answers

D.11-3i add the numbers 11-7i+4i

Taxi A charges $3.00 plus $0.30 for every
mile.
Taxi B charges $3.25 plus $0.20 for every mile.
How much money, in dollars, does Kelly save by using Taxi B instead of Taxi A?

Answers

Paper barbie I don’t wanna go with the flow

2000: $2.50 2015: $2.00 what is the percent of change in cost.

Answers

Answer:

10%

Step-by-step explanation:

Other Questions
Which lines are parallel to 6x + 3y = 2 (Select all that apply)A.y-1 = 2(x - 1)B.y-1 =-2(x- 1)C.12x + 6y = 4D. y = -2x why is it important to have a high reading level The value of A is . The value of B is . Wich statement best describes the progress of science WHAT MAKES ELECTRONS JUMP TO OTHER ORBITS AROUND THE NUCLEUS THEN FALL AGAIN why did edgar allen poe write like he wrote? In which sentence do all of the common nouns, and only the common nouns, appear in boldface? A. I learned to ride at the ranch last July. B. The eager horses quickly lined up at the gate. C. The trainer, Joe Asch, slipped my foot into the stirrup. D. "Rochelle," she said, "you will be just fine." The _____ photosynthesis reactions convert light energy into chemical energy, which is stored in molecules like ATP. In the ____ photosynthesis reactions, this energy is used to convert CO^2 into carbon sugars. Choose an immigrant identity(Chinese ,Italian German, etc Write a letter to your family back in your homeland describing your new life in America city on the west or east coast. 15 Points GIve an example of a long term academic or occupational goal that you have set for yourself. Include two short term goals that you have set to help you on your way to achieving the long term goal you mentioned What is the setting of the slacker Which is true of stage fright? *4 pointsIt gets worse as the speech progresses.It is a serious speaking problem.It cannot be corrected.It causes a decrease in heart rate. in what and what no energy is used? Sandy evaluated the expression below.(-2) (6-3)-5(2+3)(-2) (3) -5(5)8(3) - 2524-25-1What was Sandy's error?Sandy should have evaluated (-2) as-8.O Sandy should have not multiplied 5 and 5.O Sandy did not add 2 and 3 correctly.O Sandy should have not subtracted 3 from 6 first Express 0.77230.77230, point, 7723 as a fraction What country does the creature in this cartoon represent? Question 2 options:GermanyEnglandUnited StatesFrance Which symbol correctly completes the statement? -7 + 2 ___ 3 + (-9)> A mechanic buys 2 barrels of oil. If there are 63 gallons in every barrel and approximately 3.785 liters for every gallon, approximately how many liters of oil did the mechanic buy? What role did Americans play in the Spanish Colonization What are the most convincing arguments against legalizing any controlled substances?