A group of 72 children completed a survey on what kind of sport they like. The choices were: Chess, Swimming, and Football. Everyone liked at least one sport except 7 kids, which doesn't like any of these three kind of sports. 12 children liked Chess and Football but not Swimming, 16 children liked Chess and Swimming but not Football, 8 children liked Swimming and Football but not Chess, 10 children liked Chess only, 40 children liked Swimming, 32 student liked Football.
a)Find the number of kids who liked Swimming and Football.
b)What is the probability that a randomly-chosen child from this group likes either Chess or Swimming but not Football?
c)What is the probability that a randomly-chosen child from this group does not like active kinds of sport?

Answer:

7 Gallons every minute

Step-by-step explanation:

We know that a total of 42 gallons of water was pumped for 6 minutes at a constant rate. Constant rate means that it will always pump the exact same amount of water each time. Eince its at a constant rate we just need to find out how much water was poured over the course of a minute, which can be done by dividing 6 (minutes) by 42 (gallons of water) = 7 gallons of water.

Answer:

When y=8 x =7

Step-by-step explanation:

Go up until y = 8

Go across until you find a dot

Drop down to read the x value

When y=8 x =7

Answer:

7000

Step-by-step explanation:

Answer:

7000 is your answer.

Step-by-step explanation:

Answer:

The answer is 9.9

Step-by-step explanation:

3.3 times 3 is 9.9

The solution to the equation 3 = x/3.3 for x is x = 9.99

From the question, we have the following parameters that can be used in our computation:

3 = x/3.3

Rewrite the equation as

x/3.3 = 3

Multiply 3.3 to both sides of the equation

so, we have the following representation

3.33 * x/3.3 = 3 * 3.33

Evaluate the products on the right hand side

This gives

3.33 * x/3.3 = 9.99

Evaluate the products on the left hand side

This gives

x = 9.99

Rewrite as

x = 9.99

Hence. the solution is x = 9.99

Read more about equations at

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Answer:

[tex]58.91m^2[/tex]

Step-by-step explanation:

(smaller triangle below)

[tex]A=\frac{ab}{2}\\ =\frac{8.6*5.5}{2}\\ =23.65m^2\\\\A=\frac{ab}{2}\\ =\frac{8.6*8.2}{2} \\=35.26m^2[/tex]

(bigger triangle above)

Since you have both triangle, and all lengths you dont need to worry about calculating the square

Add both together

[tex]23.65+35.26\\=58.91m^2[/tex]

Answer:

There’s 2 triangles and 1 rectangle

The formula for the area of a triangle is 1/2 x base x height

The area of the triangle on the left is:

1/2 x 5.5 m x 8.6 m = 23.65 m^2

The area of the triangle on the right is:

1/2 x 8.2 m x 8.6 m = 35.26 m^2

The formula for the area of the rectangle is length x width.

The area of the rectangle is:

8.6 m x 7.6 m = 65.36 m^2

The area of the entire figure = sum of all the areas in the figure

23.65 m^2 + 35.26 m^2 + 65.36 m^2 = 124.27 m^2

Hope this helps! :)

Answer:

Profit Percentage: 67.29%

Step-by-step explanation:

Mia spent 50*$28 = $1,400

From batch 1, she earned $1,862

From batch 2, she earned $480

In total, her net earnings are $942

Net Profit Margin: 40.22%

Profit Percentage: 67.29%

Answer:

it's not 2/5 I got it wrong the correct answer is 1/10,000

Step-by-step explanation:

Answer:

He multiplied the denominators incorrectly

Tanner calculates the volume of a rectangular prism with dimensions of three by four feet by five feet by one half feet.

His work is shown below:

V = L.W.H

V = (3/4)(5/1)(1/2) = ((3)(5)(1)) / ((4)(1)(2)) = 15/6 = 2.5

What error did Tanner Make?

We know that volume is given by:

V = L.W.H

where

L = 3/4 ft

W = 5/1 ft

H = 1/2 ft

Find V:

[tex]V = \frac{3}{4}\cdot\frac{5}{1}\cdot\frac{1}{2}\\\\V=\frac{3\cdot5\cdot1}{4\cdot1\cdot2}\\\\V=\frac{15}{8}\\V=1.875[/tex]

As the product of denominators is 8, not 6 as to per Tanner's calculations, he multiplied the denominators wrong

Answer:

b

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

Ohhh you wrote 4 on the other post, not 4x.

Okay.

6(x+3)-4x=10

6x+18-4x=10

2x=-8

x=-4

Answer:

The value of [tex]x[/tex]:

[tex]x = -4[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]6(x+3) - 4x = 10[/tex]

Use Distributive Property:

[tex]6(x+3) - 4x = 10[/tex]

[tex]6x + 18 - 4x = 10[/tex]

Combine [tex]6x[/tex] and [tex]-4x[/tex] together:

[tex]6x + 18 - 4x = 10[/tex]

[tex]2x + 18 = 10[/tex]

Subtract both sides by [tex]18[/tex]:

[tex]2x + 18 - 18 = 10 -18[/tex]

[tex]2x = -8[/tex]

Divide both sides by [tex]2[/tex]:

[tex]\frac{2x}{2} = \frac{-8}{2}[/tex]

[tex]x = -4[/tex]

So, therefore, the final answer is [tex]x = -4[/tex] .

B. is correct! Hope this helps!

Answer:

Answer:B

Step-by-step explanation:

7/8 x 3/5 = 0.525 and 0.525 as a fraction is 21/40.

Answer:

d) (5,3)

Step-by-step explanation:

All you gotta do is graph it and plugin the options.

I provided the graph

Answer:

30 is the answer to the first question and 108 is the answer to the second question

Step-by-step explanation:

Just took the test on Edge 2020

Answer:

30

108

Step-by-step explanation:

Answer:

20days

Step-by-step explanation:

1 bag feed : 5/2 = 2.5 days

8 bags feed : 2.5*8 = 20 days

Answer:

He walked 17.1

Step-by-step explanation:

If you do 2.85 times 6 you'll get that answer.

Your welcome!

The length of each side of the lawn is 13 yards.

look at the attached picture

Hope it will help you

Good luck on your assignment...

Answer:

[tex]13 \: \: yd[/tex]

Step-by-step explanation:

[tex]area \: \: \: of \: \: a \: \: square \\ 169= l \times b \\ 169 = x \times x \\ 169 = {x}^{2} \\ [/tex]

So,

[tex] {x}^{2} = 169 \\ x = \sqrt{169} \\ x = 13 \: \: yd[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]y=3x-5[/tex]

Step-by-step explanation:

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

[tex]m=9/3[/tex]

[tex]m=3[/tex]

[tex]y=3x+b[/tex]

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

[tex]1=3(2)+b[/tex]

[tex]1=6+b[/tex]

[tex]-5=b[/tex]

[tex]y=3x-5[/tex]

Answer:

33/2

Step-by-step explanation:

Multiply both sides by 4 to get rid of fractions

2x + 3 = 36

Subtract 3 from both sides

2x = 33

Divide by 2

x=33/2

Answer:

17 units

Step-by-step explanation:

The radius r is the distance from the centre of the circle to a point on it.

To calculate r use the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 7, - 1) and (x₂, y₂ ) = (8, 7)

r = [tex]\sqrt{(8+7)^2+(7+1)^2}[/tex]

  = [tex]\sqrt{15^2+8^2}[/tex]

  = [tex]\sqrt{225+64}[/tex]

   = [tex]\sqrt{289}[/tex]

   = 17

Answer:

12x² + 4x

Step-by-step explanation:

Area rectangle = height * width = 4x(3x + 1) = 12x² + 4x

Answer:

Step-by-step explanation:

$ 86,000 lies in the category $84201 - $ 160725

Tax = 14,382.50+ 24% of the amount over $84,200  

Amount over $84,200= 86,000 - 84,200 = $1,800

Tax for the amount $ 1,800 =24% * 1800 = 0.24 * 1800

                                             = $ 432

Tax for the amount $86,000 = 14382.50 + 432

                                               =$ 14814.50

Answer:

7/6

Step-by-step explanation:

7/8 * 4/3

7/2 * 1/3

7/6

Answer:

When you divide a fraction, make the second number the reciprocal. Then multiply them.

So it is

3/4 = 4/3

7/8 * 4/3 = 28/24

28/24 is the answer

Answer:

x + 6x+10   + x+2 = 180

x = 21

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

x + 6x+10   + x+2 = 180

Combine like terms

8x + 12 = 180

Subtract 12 from each side

8x+12-12 = 180-12

8x =168

Divide each side by 8

8x/8 = 168/8

x =21

Answer:

Step-by-step explanation:

by angle sum property of a triangle ,

x+x+2+6x+10=180

8x =180-12

8x =168

x =168/8

x=21

hope it helpss

Answer:

[tex]\large \boxed{36\sqrt{2}\text{ units}}[/tex]

Step-by-step explanation:

Assume ∆DEF looks like the one below.

We can use Pythagoras' Theorem to find the hypotenuse f.

[tex]\begin{array}{rcl}d^{2} + e^{2} & = & f^{2}\\36^{2} + 36^{2} & = & f^{2}\\f^{2} & = & 2 \times 36^{2}\\f & = & \sqrt{2 \times 36^{2}}\\& = & 36\sqrt{2}\\\end{array}\\\text{The length of the hypotenuse is $\large \boxed{\mathbf{36\sqrt{2}}\textbf{ units}}$}[/tex]

Answer: $313.09

Step-by-step explanation:

£1 = €1.15

£225 = 225 * 1.15 = €258.75

€1 = $1.21

€258.75 = 258.75 * 1.21 = $313.09

Answer:

$313.09

Step-by-step explanation:

£1= €1.15

therefore £225 =225×1.15

which is =€258.75

and since €1=1.21

therefore €258.75 =$258.75×1.21

which is =$313.0875

in 2 dp answer= $313.09

Answer:

128 in2

Step-by-step explanation:

Answer:

They charge $35 per person.

Step-by-step explanation:

If they made $1,330 and 38 people came that afternoon then

$1,330 divided by 38

= $35