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maw [93]
3 years ago
15

emily soccor team can eat 10 1/2 pizzas in 7 minutes how many pizzas per minute can emilys soccor team eat

Mathematics
1 answer:
liq [111]3 years ago
3 0

Answer:

1 1/2

Step-by-step explanation:

Make everything a whole number/decimal

10 1/2=10.5

7=7

Create a proportion

\frac{10.5}{7}=\frac{x}{1}

Cross multiply

10.5*1=10.5

7*x=7x

Divide the coefficient on both sides

7x÷7

10.5÷7

Solve

x=1.5

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Step-by-step explanation:

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3 years ago
3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round
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The volume of the prop is calculated to be 2,712.96 cubic inches.

<u>Step-by-step explanation:</u>

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying  \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone :  V=\pi r^{2} \frac{h}{3} = 3.14 \times 9^{2} \times \frac{14}{3} = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying  \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 9 inches. We take π as 3.14.

The volume of a full sphere =  V=\frac{4}{3} \pi r^{3} =  \frac{4}{3} \times 3.14 \times 9^{3} = 3,052.08 cubic inches.

The volume of the half-sphere =  \frac{3,052.08}{2} = 1,526.04 cubic inches.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.

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Sunny_sXe [5.5K]

Answer:

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Step-by-step explanation:

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