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

A jar contains chocolate chip cookies and Anzac
biscuits. If Jim makes a selection at random from the
jar, he has a probability of selecting an Anzac
biscuit. If there are 10 chocolate chip cookies, how
many Anzac biscuits are there?

Answers

Answer:

0.20

Step-by-step explanation:

there are 4 + 6 + 10 = 20 biscuits in the jar

probability of picking a chocolate chip biscuit = 4/20 = 1/5 = 0.20

Please help I don't know how to do this if you answer this please explain.​

Answers

It’s “B” I think.....

You are a research assistant. You are tasked with writing a research paper. You spend 1 1/2 hours researching, 2 1/6 hours writing, and 3 1/2 hours editing.

How many hours do you spend on the task?

Answers

Answer:

7 1/6

Step-by-step explanation:

1 1/2 +3 1/2= 5 = 2 1/6

=

Answer:

You spent 7 1/6 hours doing the task

Step-by-step explanation:

1 1/2 (hours researching) + 2 1/6 (hours writing) = 3 2/3 (hours researching and writing)

3 2/3 (hours spent researching and writing) + 3 1/2 (hours editing) = 7 1/6 (hours doing the task)


Q. What is the equation by looking at this graph?

Answers

Answer:

y=x+2

Step-by-step explanation:

slope is 1

y-int is +2

Answer:

y = 3 + 1/1

Step-by-step explanation:

First, the line passes the y-intercept at 3, so we have y = 3. But we also need the slope. Because the slope is 1/1 or 2/2, the equation would be this:

y = 3 + 1/1

I hope this helps! If you have any questions about how I got this answer please feel free to comment them!

A car wash cost $12.50 at a local car-wash place. If you leave a 20% tip, how much are you actually leaving in tip? (What is the tip in dollars?)

Answers

Answer:

$2.50tip

Step-by-step explanation:

12.50*0.20=2.50

Multiple
(3x – 4)(2x²–5x+1)

Answers

Multiply each term in the first expression by each term in the second expression and combine like terms.
The Answer is
6x^3 - 23x^2 + 23x - 4

A certain video game console uses 154 watt-hours of energy each hour.


The console used 276 hours last year.


How many watt-hours of energy did the console use?


Use any method to solve this problem. You must show all your work.


Then, explain your reasoning and the steps you took to solve the problem.

Answers

Answer:

42,504 watts

Step-by-step explanation:

154x276hours=42,504watts

Answer:

42504

Step-by-step explanation:

As it uses 154 watt-hours per hour, in 276 hours, it would use 42504 as we would multiply the energy usage by the amount of hours used:

154 watt-hours = 1 hour

276 hours = 42504 watt-hours

276*154 = 42504

The graph shows how the mass of copper
changes as the volume of the element changes
and the density remains constant.
*picture*
Which of these bests represents the rate of the
change in the mass of copper with respect to the
volume?
a.4/33 g/cm^3
b.19/41 g/cm^3
c.8 1/4 g/cm^3
d.4 4/7 g/cm^3

Answers

Answer: 8 1/4g/cm³

Step-by-step explanation:

Given the graph :

The rate of change in the mass of copper with respect to volume :

To obtain this, we find the slope or gradient of the graph:

Gradient = Δy / Δx = (y2 - y1) / (x2 - x1)

Drawing a right angled triangle on the anybpart of the line of best fit:

y2 = 40 ; x2 = 4.75 ; y1 = 16 ; x1 = 2

(y2 - y1) / (x2 - x1)

= (40 -16) / (4.75 - 2)

= 24 / 2.75

= 2400/275

= 8.727 g/cm^3

Due to unit and graph scale,, the slope is closest to 8 1/4g/cm³

Answer:

c

Step-by-step explanation:

Solve the magic Square *
Write the next 4 terms.
a) +8, +4,0, -4,...

Answers

The awnser would be -8

Negation is the opposite (denial) of a statement. *
True
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

please help this makes no sense

Answers

Answer:

121 1/4

Step-by-step explanation:

The stock market went up 30 1/2 points, then down 90 3/4 points. The total change is equal tor 121 1/4.

What is (1x2)+85+2.86 divided by 8?

show work

Answers

Answer:

89.86

Step-by-step explanation:

1 x 2 = 2

2 + 85 = 87

87 + 2.86 =

89.86

10. Which list shows these numbers in order from least to greatest?
7.-3.17, 153, -29
PLZ I NEED HLP

Answers

From least to greatest the numbers are:
-29, -3.17, and 153.

hopefully that helps, there was no image attached, so can’t tell you which list it is :)

Answer:

-29, -3.17, 153

Step-by-step explanation:

in order from least to greatest this is the list.

-29 is the number farthest below zero, and 153 is the number farthest above zero.


Mrs. Manzo's class has 20 girls and 25 boys. She wants to put them into
identical groups with the same number of boys and girls in each group.
What is the greatest number of groups she can make? *

Answers

Answer:

She can make up to 5 groups.

Step-by-step explanation:

We have to find the first divisible number that are divisble for each 20 and 25.

Divisible numbers of 25: 1, 5     Divisible numbers of 20: 1,4, 5, 10

Therefore 5 is the answer. GIMME BRAINLIEST PLS AND THANKS xD

9.85 less than the product of 37 and w

Answers

Answer:

you did not give wat you wanted us to do so I would say 9.85- (37*w)

Find an expression which represents the sum of (6x – 4) and (-2x + 5) in simplest terms.​

Answers

Answer:

5

Step-by-step explanation:

because if you add -2x and 5 you would get 3 also if you subtract 6x-4 you would get 2x so add 2x and 3x then you would get five

Solve to find the value for x in the linear equation: 36-4x + 5) = 12
CIE
1 Use the distributive property:
2 Use the subtraction property of equality
3. Division property of equality:
3(-4x) + 3(5) = 12
-12x + 15 = 12
- 12x + 15 - 15 = 12 - 15
-12x = -3
Intro

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given expression:

         3(-4x + 5) = 12

To solve for x;

  Use the distributive property to open the parentheses;

     3(-4x) + 3(5) = 12

      -12x + 15 = 12

 then, add -15 to both sides;

    -12x + 15 + (-15) = 12 + (-15)

            -12x  = -3

  divide both sides by -12;

        [tex]\frac{-12x}{-12}[/tex]   = [tex]\frac{-3}{-12}[/tex]

           x  = [tex]\frac{1}{4}[/tex]

Solve the system of equations. y=4x+5 and y=3x-2, what's the solution​

Answers

Answer:

x = -7 y=-23

Step-by-step explanation:

HELP PLEAAAASEE!!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

...

At 5:30 a.m., a thermometer indicates the temperature is 15 degrees below zero Celsius, -15"C. At 11:00 am., a thermometer indicates the temperature is 3 degrees above zero Celsius, 3'C. What integer represents a temperature of 2 degrees below zero Celsius?

Answers

-2 degrees C.

hope this helps!

Harry adds 18 more toy cars to his collection is it postive or negative

Answers

Step-by-step explanation:

negative it is hope it helps

Answer:

I believe if it has the word 'adds' it's positive.

hello everyone.
i want to remind everyone to take a break and take care of themselves
take a minute to breath
how are you feeling
if you feel overwhelmed, you are not alone
everything will be okay
look at the seal
it's so cute

Answers

Is it to early to say that I love you-

Answer

Wow, thanks.

Step-by-step explanation:

I really needed that. Maybe I shouldn't say something personal, but I've been going through a bunch of pointless stress. So thank you, I really found confort through this. I hope you have a good day too. Lots of love and I hope you are safe and happy, wherever you are. No matter who you are, thanks.

:)

(That seal is really is really cute.)

642 x 257 what is the answer to it?

Answers

Answer:

164994

Step-by-step explanation:

d. Does 4 + 25 is equal to 4 + 25? Explain

Answers

[tex]4+25=2+25[/tex]

They are equal because their sums both equal [tex]29[/tex].

Answer:

4 + 25 is equal to 4 + 25

Step-by-step explanation:

they are equal because both of the equations are the same so that would mean both of the equations would be equal to each other

hope this helps

. Paris is saving to take the SAT prep course that costs $350. So far, she has saved $180, and she
adds $17 to her savings each week. How many more weeks must she save to be able to afford
the course?


Answers

Answer:

10 weeks

Step-by-step explanation:

Use the equation 180+17w=350

is this equation linear or not? y = 2x²​

Answers

Answer:

No this is not linear

Step-by-step explanation:

⚠️⚠️⚠️⚠️⚠️⚠️⚠️
- WHATS THE NEGATIVE SLOPE??
- FIND M’S SLOPE
PLEASEEESWEEEEEEEEEEE⚠️

Answers

Answer:

Question 1: The negative slope is line j.

Question 2: M's Slope is 1/2.

Step-by-step explanation:

Question 1:

Way 1:

The negative slope is line j because it moves from left to right where the y points decrease while x is increasing.

Way 2:

Finding the slope also finds if it has a negative or a positive slope.

Line j has points (-1,3) and (0,0).

To solve for slope, you have to do (y2-y1)/(x2-x1).  

To substitute the values, it gets to (0-3)/(0-(-1)).

To simplify that, it gets to -3/(0+1) which equals to -3/1. -3/1 in other words is -3.

Since the slope is a negative number, it has a negative slope.

Question 2:

To find the slope of line m, you have to find two points first.

The two points there are is (4,2) and (0,0).

Then you have to use the equation (y2-y1)/(x2-x1).

Once you find the numbers, you plug it into the equation getting (0-2)/(0-4).

To simplify that it gets to -2/-4. That equals -1/-2 once simplifying the fraction.

Since there are negatives in both numerator and denominator, the negative sign gets removed and it becomes 1/2.

Therefore, the slope for line M is 1/2.

FACTOR: 25x4y2z + 15x2y3

Answers

Answer:

(25x * 4y * 2z) + (15x * 2y^3)

10xy(20z + 3y^2)

(if you want working, just comment [too much effort lol])

36-3-(2-2)
What is the solution

Answers

It’s 33 hope it helped:) you were right btw the other person who answered it.

expand and simplify (x-1)(x-3)

Answers

Answer:

x squared -3x-1x+4= x squared -4x+4

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