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antoniya [11.8K]
2 years ago
9

Mr. Reddick has 74 total yards of red and blue felt to distribute to students in his art class. Each of his 20 students gets 2.

5 yards of blue felt for the project. He also gives each student an equal amount of red felt. How much red felt does each student get? 1. 2 yd 3. 7 yd 12 yd 24 yd.
Mathematics
1 answer:
Mkey [24]2 years ago
5 0

Answer: Blue felt = 20*2.5 = 5074-50=24 yards of red24/20 = 1.2 each student gets 1.2 yards of red felt So the answer is 1.2 Yards.each of his 20 students gets 2.5 yards of blue felt for the project. He also gives each student an equal amount of red felt.

Step-by-step explanation:

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We are given the equations:

<span>5 x + 11 y = 49                    --> eqtn 1</span>

<span>u = 3 x^2 + 6 y^2               --> eqtn 2</span>

 

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

<span>y = (49 – 5x) / 11               --> eqtn 3</span>

 

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

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Derive then set du/dx = 0 to get the maxima:

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solving for x:

8.48 x = 24.3

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so y is:

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Answer:

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COMPLETE QUESTION:

Andrea is selling candles as a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the candles for $10 each. Her profit can be modeled by C(x) = 10x - 50.

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Answer:

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Step-by-step explanation:

Given that her profit is modeled by C(x) = 10x - 50

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Let the number of candles she could make with $50 be Z.

Then the domain is the set of all whole numbers less or equal to Z.

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If there are infinite number of candles she could make with that money, then

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When x = 0, we have C = -50

When x = Z, we have C = 10Z - 50

The range is then given as

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If there are infinite number of candles she could make with that money, then

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Step-by-step explanation:

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