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amm1812
4 years ago
10

Dimitri is helping to plan the school talent show. Each performer for the talent show has 666 minutes for his or her performance

, which includes transition time between performances. If the introduction for the talent show is 242424 minutes long and the entire show, including the introduction, will last 150150150 minutes, how many different performances can the talent show accommodate?
Mathematics
1 answer:
strojnjashka [21]4 years ago
7 0

We can find the answer by taking the total count of time, 150, and subtract 24 from it. This is because the 24 minute introduction is not part of the performances, so it is not part of our equation.  After we subtract the two numbers to get 126, we divide the remaining number by 6. This is because each performance lasts 6 minutes, so by dividing it from 126, we get the total amount of performances. The answer is 21.

Hope this helps!


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liubo4ka [24]

Question:

A reservoir in the shape of a right circular cylinder has a height of 84ft. If it to contain 79,200 L of water, find its radius.

Answer:

r = 3.26ft

Step-by-step explanation:

Given

Volume = 79200L ---- V

Height = 84ft ---  h

Required

Determine the radius

Volume = 79200L

Convert volume to ft^3

Volume = 79200 * 0.0353147ft^3

Volume = 2796.9216ft^3

The volume (V) of a cylinder is:

V = \pi r^2 h

Substitute values for volume and height

2796.9216 = \pi * r^2 * 84

Divide both sides by 84

33.2966857143 = \pi * r^2

Take \pi as 3.14

33.2966857143 = 3.14 * r^2

Divide both sides by 3.14

10.604 = r^2

r^2 = 10.604

Take the square root of both sides

r = \sqrt{10.604

r = 3.26ft

<em>Hence, the radius is 3.26 ft</em>

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3 years ago
Question 3:
GenaCL600 [577]
90° clockwise rotation about the point 0,0
8 0
3 years ago
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denis-greek [22]

Answer:

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Step-by-step explanation:

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3 years ago
The Cheer Club is making a banner for your school using the design shown. The area of the yellow portion is 1 ft2. The expressio
olga nikolaevna [1]

Answer:

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Step-by-step explanation:

Given

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To do this, we simply substitute 9 for z in Blue = 8z^{-1

Blue = 8 * 9^{-1

Convert indices to fraction

Blue = 8 * \frac{1}{9}

Blue = \frac{8}{9}

<em>Hence, the blue section has an area of </em>\frac{8}{9}ft^2<em></em>

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vfiekz [6]

Answer:

I think the 3rd option but im not sure

4 0
3 years ago
Read 2 more answers
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