Of the eighth graders at the Paxson School, 7 played basketball, 9 played volleyball, 10 played soccer, 1 played basketball and volleyball only, 1 played basketball and soccer only, 2 played volleyball and soccer only, and 2 played volleyball, basketball, and soccer. How many played one or more of the three sports?

Answers

Answer 1

Answer:

18

Step-by-step explanation:

There are

7 played basketball;10 played soccer;9 played volleyball;1 played only basketball and volleyball;1 played only basketball and soccer;2 played only volleyball and soccer;2 played basketball, volleyball and soccer.

So,

3 played basketball and volleyball;3 played basketball and soccer;4 played volleyball and soccer;7 - 1 - 1 - 2 = 3 played only basketball;10 - 1 - 2 - 2 = 5 played only soccer;9 - 1 - 2 - 2 = 4 played only volleyball.

Hence, 3 + 5 + 4 + 1 + 1 + 2 + 2 = 18 played one or more of the three sports

Answer 2

Answer: There are 18 players who played one or more of the three sports.

Step-by-step explanation:

Since we have given that

Number of students played basketball = 7

Number of students played volleyball = 9

Number of students played soccer = 10

Number of students played basketball and volleyball = 1

Number of students played volleyball and soccer = 2

Number of students played volleyball, basketball and soccer = 2

Number of students who played basketball only is given by

[tex]7-1-1-2=3[/tex]

Number of students who played volleyball only is given by

[tex]9-1-2-2\\\\=4[/tex]

Number of students who played soccer only is given by

[tex]10-1-2-2\\\\=5[/tex]

So, Number of students one or more of the three sports is given by

[tex]3+4+5+1+1+2+2\\\\=18[/tex]

Hence, there are 18 players who played one or more of the three sports.


Related Questions

Billy and Maria ordered flyers to advertise the school dance. Flyers cost $8.75 for the
first 50, and $1.50 for each additional 10. The bill was $19.25. How many flyers did
they order?

Answers

Answer:

120

because they got 50 for 8.75 and if you add 1.50 until you get to 19.25 you would get 120

What is the midpoint of NH

Answers

Answer:

the answer would be k or -3 hope this helps

Answer: K

Step-by-step explanation:

The answer for this question would be K

-|7 - 10|
Evaluate the following expression

Answers

|7-10| = 3 (absolute value), then multiply to the negative sign. answer:-3

4−(2x+4)=5

pls help:)

Answers

Answer:

The answer would be -2 1/2  

Step-by-step explanation:

Mauricio’s retirement account allows him to delay paying taxes on contributions until he withdraws the money at retirement. Which statement describes Mauricio’s contributions?

A.
The contributions are tax exempt because they will be taxed at a minimal rate.
B.
The contributions are tax deferred because they will be taxed at a minimal rate.
C.
The contributions are tax exempt because they will be taxed in the future.
D.
The contributions are tax deferred because they will be taxed in the future.

Answers

Answer:

C. The contributions are tax exempt because they will be taxed in the future.

Step-by-step explanation:

The type of contribution Mauricio is doing is Tax Deferred Contribution, which refers to contributions from investment earnings, like dividends, capital gains or retirements accounts, all these accumulate tax-free fees until the person receive the profits.

Therefore, the right answer here is c, because it will be taxed in the future.

Answer:

D.  

The contributions are tax deferred because they will be taxed in the future

Step-by-step explanation:

1.98x=11.88 what does x equal?

Answers

Answer:

6

Step-by-step explanation:

Look at picture for help solving it.

Divide 11.88/1.98 x=6

Does the point (-4, 3) fall on the graph of this line? How do you know? Show your work. ( 2 points) PLEASE HELP ILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Since we know the line goes through points [tex](8,9)[/tex] and [tex](2,4)[/tex], we can construct a line in slope-intercept form

[tex]y = mx + b[/tex]

where [tex]m[/tex] is the slope and [tex]b[/tex] is the Y-intercept.

The slope can be found using the two points provided:

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

[tex]\frac{9 - 4}{8 - 2}[/tex]

[tex]\frac{5}{6}[/tex]

The line is now represented as

[tex]y = \frac{5}{6}x + b[/tex]

To solve for [tex]b[/tex], we can plug in one of the two points:

[tex]y = \frac{5}{6}x + b[/tex]

[tex](9) = \frac{5}{6}(8) + b[/tex]

[tex]4 = \frac{20}{3} + b[/tex]

[tex]b = \frac{-8}{3}[/tex]

We know have our line:

[tex]y = \frac{5}{6}x - \frac{8}{3}[/tex]

To determine if the point [tex](-4, 3)[/tex] falls on this line, we just plug the numbers into the equation and see if it holds true:

[tex]y = \frac{5}{6}x - \frac{8}{3}[/tex]

[tex](3) = \frac{5}{6}(-4) - \frac{8}{3}[/tex]

[tex]3 = \frac{-10}{3} - \frac{8}{3}[/tex]

[tex]3 = \frac{-18}{3}[/tex]

[tex]3 = -6[/tex]

This does not hold true, so the point is not on the line.

Evaluate the expression when m = 6 and n = 31.

Answers

Answer:

7

Step-by-step explanation:

n-4m= 31  - 4(6) = 31 -24 = 7

One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 555​, find the numbers..

Answers

Answer:

first = 65

second = 325

Third = 165

Step-by-step explanation:

Let the first number = x

first: x

second: 5x

Third = x + 100

first + second + third = 555

x + 5x + x + 100 = 555               Combine

7x + 100 = 555                           Subtract 100 from both sides

7x + 100 - 100 = 555 - 100

7x = 455                                      Divide by 7

7x/7 = 455/7

x = 65

Figure 1 is reflected over the x-axis and then reflected over the line x = k to produce Figure 2. What is the value of k?

Answers

Answer: try negative three-3 hope this helps you!

Step-by-step explanation:

X is 2,5,6,9,11 and y is 0,2,46,8 is this a function or a nun function

Answers

Answer:

yes it is a function because none of the x value repeat. If they did repeat, then when plotted on a graph it would not pass the vertical line test.

Step-by-step explanation:

I count on equal steps my first number is -2 my fifth number is 26 what’s my third number

Answers

Answer:

12

Step-by-step explanation:

28 / 4 = 7

1) -2

2) -2+7=5

3) 5+7=12

4) 12+7=19

5)19+7=26

Final answer:

When moving in equal steps from -2 to 26 over four steps, each step increases the value by 7. Therefore, after two steps from -2, the third number you reach is 12.

Explanation:

The question is about stepping evenly or moving in equal intervals from an initial number. Given that the first number is -2 and the fifth number is 26, we need to determine what the third number would be. Taking -2 being the first and the fifth being 26 means there are 4 steps between them. To find the equal steps between, you need to subtract -2 from 26 and divide by 4 (the steps in between), which gives you 7. This means each step increases the value by 7. Therefore, the first number is -2, the second number is -2+7 = 5, and third number is 5+7=12.

Learn more about Stepping in Equal Intervals here:

https://brainly.com/question/32415034

#SPJ2

3x-4 when x = 7 how do I do this equation I’m confused

Answers

Plug the 7 in where it says x.
3x-4
3(7)-4
21-4
17

Answer:

17.

Step-by-step explanation:

1. Plug in 7 for x.

2. 3(7)-4

3. 3 times 7 is 21.

4. 21 minus 4 is 17.

5. The Answer is 17.

What is the length of one leg of the triangle?
11 units
11/units
22 units
22/2 units​

Answers

Answer:

The length of one leg of the triangle is 22 units

Step-by-step explanation:

The complete question in the attached figure

Let

x ----> the length of one leg of the triangle

we know that

In the right isosceles triangle of the figure

The cosine of angle of 45 degrees is equal to the adjacent side to angle of 45 degrees divided by the hypotenuse

[tex]cos(45\°)=\frac{x}{22\sqrt{2}}[/tex] ---> equation A

[tex]cos(45\°)=\frac{\sqrt{2}}{2}[/tex] ----> equation B

equate equation A and equation B and solve for x

[tex]\frac{x}{22\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]

[tex]x=\frac{\sqrt{2}}{2}(22\sqrt{2})=22\ units[/tex]

therefore

The length of one leg of the triangle is 22 units

A line passes through the point (–3, 4) and its y-intercept is (0, –2). What is the equation of the line that is parallel to the given line and passes through the point (–5, 2)?

Answers

Answer:

y = - 2x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = [tex]\frac{-2-4}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

• Parallel lines have equal slopes, hence slope of parallel line = - 2, thus

y = - 2x + c ← partial equation of parallel line

To find c substitute (- 5, 2) into the partial equation

2 = 10 + c ⇒ c = 2 - 10 = - 8

y = - 2x - 8 ← equation of parallel line

solve the equation for x. Round your answer to the nearest hundredth 8(x-7)=454

Answers

Answer: 63.75 or 225/4

I just did it on an IT Inspired inspired Calculator to solve for X and 63.75

Step-by-step explanation:

8(x - 7) = 454

x - 7 = 454/8

x - 7 = 57

x = 57 + 7

x = 64

Growing up, Joe lived in a small town. When he left for college, the population was 840.
The population has grown by 5% after Joe's first year of college. What is the new
population? Show your work.

Answers

Thé new population is 882

Answer:

the population is 840 initially to which we subtract the 95% that leaves us a total of 42 to which we add the initial amount of population, which would give us as a final result 882

reply:

The total number of people that increased the population was 42 since Joe left, but in total there are 882 people.

Why is 4.13 x 1000 = 4130 and 413,000 ÷100 = 4130 true

Answers

Answer:

Step-by-step explanation:

4.13*1000=4130

Because you move the decimal to the right 3 times'

413000/100=4130

Move the decimal 2 times to the left

The statement [tex]""4.13 x 1000 = 4130[/tex] and [tex]413,000/100 = 4130[/tex]"" is true due to the rules of multiplication and division with powers of ten.

 Firstly, when multiplying a number by 10 raised to a power, the decimal point in the number moves to the right as many places as there are zeros in the power of ten. In this case, 4.13 is being multiplied by [tex]10^3[/tex] (which is 1000). The decimal point in 4.13 moves three places to the right, resulting in 4130. This is because [tex]10^3[/tex] means [tex]10 x 10 x 10,[/tex] and each multiplication by 10 moves the decimal point one place to the right.

 Secondly, when dividing a number by 10 raised to a power, the decimal point in the number moves to the left as many places as there are zeros in the power of ten. Here, 413,000 is being divided by [tex]10^2[/tex] (which is 100). The decimal point in 413,000 moves two places to the left, resulting in 4130. This is because [tex]10^2[/tex] means [tex]10 x 10[/tex], and each division by 10 moves the decimal point one place to the left.

 Therefore, both parts of the statement are true:

- [tex]4.13 multiplied by 10^3 (1000) equals 4130.[/tex]

- [tex]413,000 divided by 10^2 (100) equals 4130.[/tex]

 In summary, the operations performed on the numbers are consistent with the rules for manipulating decimal numbers when multiplying or dividing by powers of ten.

The 7 in 3.47 has a value blank times the value of the 7 in 7.34

Answers

Answer:

1/100

Step-by-step explanation:

7 in 3.47 is 7/100

7 in 7.34 is 7

so the first 7 is 1/100 times the value of 7

EF=4x-15,FG=5x+7 and EG=46 find the value of EF

Answers

The answer would be 9

28. Find the perimeter of the polygon.
9 mm
a. 55 mm
b. 54 mm
c. 52 mm

Answers

Answer:

I don't see a polygon anywhere...

Find m2ABC.
(2x)=(5x+5)

OPTIONS

25
60
50
130

Answers

Answer:

130°

Step-by-step explanation:

[2x] + [5x + 5] = 180

7x + 5 = 180

- 5 - 5

_____________

7x = 175

__ ____

7 7

x = 25

[tex]5(25) + 5 = 125 + 5 = 130[/tex]

I am joyous to assist you anytime.


Use Math Tools Terrell had a chain of
56 paper clips. Some of the paper clips fell off. Now there
are 38 paper clips in the chain. How many fell off?
Brain Builders
9. Li counts 203 stars in the sky. The next night, she counts 178 st
After three nights, she had counted a total of 500 stars. How m

Answers

Answer:

I know only answer for the first one

18 paper clips

Step-by-step explanation:

56 paperclips originally - x paperclips = 38 paperclips

56 - x = 38

   + x    + x

56      = 38 + x

- 38       - 38

18       =         x  

x = 18

What is a multiplication expression with a product of 5 to the power of 13

Answers

Answer:

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5

Step-by-step explanation:

change -2-3 into addition problem
[tex]( - 2 - 3 = [/tex]

Answers

Answer:   - (2 + 3) = -5

Step-by-step explanation:

When combining numbers that have the same sign, you add them and then include the sign.

For example:

-2 - 3 = -(2 + 3) = -5

-6 - 5 = -(6 + 5) = -11

-7 - 8 = -(7 + 8) = -15

the answer would be -2 + -3 because 2 is already negative and adding -3 is the same as subtracting 3

hope this helped, pls mark as brainliest :)

What is the range of y= square root x+7+5?​

Answers

Answer:

12x

Step-by-step explanation:

7+5+x

7+5=12

12+x=12x

X can be any thing so whatever the two variables are use that to get y

Answer:

The range is y≥ 5

Step-by-step explanation:

A small company is creating a new product to sell to buyers. They have estimated that it will cost them $6 to produce each item and they will have start-up costs of $242000. This lead
to the following expression, which gives the total cost, in dollars, to produce q of these new products:
69 +212000
Use this expression to predict how much it will cost them to produce 17600 items.
Answer: It will cost them
dollars to produce 17600 items. (Do NOT include a dollar sign or any commas in your answer or it will be marked incorrect.)​

Answers

Answer:

$347,600

Step-by-step explanation:

There is fixed startup cost of 242,000 no matter how many units they product.

Also, each unit costs 6 to produce, so to produce 17,600 items, it's going to cost:

17,600 * 6 = 105,600

Along with this the fixed startup cost of 242,000, would make total cost:

Total cost = 242,000 + 105,600 = $347,600

Final answer:

To find the total cost of producing 17,600 items with a production cost of $6 per item and $242,000 in start-up costs, the correct formula ($6 \times 17,600) + $242,000 must be used, yielding a total cost of $347,600.

Explanation:

The given expression for the total cost to produce q products appears to be incomplete. Based on the initial information provided, the cost to produce each item is $6, and there are start-up costs of $242,000. If we correct the expression, it should be $6q + $242,000 to find the total cost for producing q items. Thus, to calculate the cost to produce 17,600 items, we use the correct formula:

Total Cost = ($6 \times 17,600) + $242,000

Performing the calculations:

Total Cost = ($105,600) + $242,000

Total Cost = $347,600

Therefore, it will cost the company $347,600 to produce 17,600 items.

anice’s mother gave her a ten dollar bill to buy five pounds each of bananas and apples at the grocery store. When she got there, she found that bananas were 80¢ per pound and apples were $1.40 per pound.

Did Janice’s mother give her enough money? If so, should she receive any change? If not, how much more money does she need?

Answers

Answer:

No, she didn't give her enough money. She needs $1 more.

Step-by-step explanation:

5 pounds of bananas at 80¢ per pound

[tex]5*0.80=$4.00[/tex]

5 pounds of apples at $1.40 per pound

[tex]5*1.40=$7.00[/tex]

$4.00 + $7.00 = $11.00

Subtract Anice's $10 from $11.00

[tex]11-10=1[/tex]

Anice needs $1 more

Rewrite 2x - 2y = 8 in slope-intercept form. A -2y = -2x + 8 B 2x = 2y + 8 C x = y - 4 D y = x - 4

Answers

Answer:

all work is shown and pictured

The slope-intercept equation of line is [tex]y=x+4[/tex]

Slope-intercept form:

The slope- intercept equation of line is written as,

                           [tex]y=mx+c[/tex]

Where m is slope and c is y- intercept of line.

Given equation of line is,  [tex]2x-2y=8[/tex]

                    [tex]2y=2x+8\\\\y=\frac{2x+8}{2}=x+4\\ \\y=x+4[/tex]

The slope-intercept equation of line is [tex]y=x+4[/tex]

Learn more about the equation of line here:

https://brainly.com/question/18831322

9n+27=7n-3

Solving equations- variables on both sides

Answers

Answer:

n=-5

Step-by-step explanation:

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