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3241004551 [841]
3 years ago
7

Ian makes 7 ½ quarts of fruit punch using 3 different juices. The juices he used are listed.  3 ¼ quarts of blueberry juice  1

1/3 quarts of pineapple juice  W quarts of watermelon juice How many quarts of watermelon juice, W, did Ian use to make the fruit punch?
Mathematics
1 answer:
BartSMP [9]3 years ago
3 0
A total of 7 1/2 quarts of fruit punch coming from 3 fruits: blueberry, pineapple and watermelon which contributed 3 1/4 quarts, 1 1/3 quarts, and W, respectively.

Let's make the equation.
7 1/2 = 3 1/4 + 1 1/3 + W
W = 7 1/2 - 3 1/4 - 1 1/3
W = 2 11/12 quarts

So, 2 11/12 watermelon juice is added.
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Step-by-step explanation:

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The volume is therefore:

∫₋₂⁰ {π[√(⅓(x+2)) + 1]² − π 1²} dx + ∫₀¹ {π[√(⅓(x+2)) + 1]² − π[√x + 1]²} dx

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∫₋₂¹ π[⅓(x+2) + 2√(⅓(x+2))] dx − ∫₀¹ π(x + 2√x) dx

π[⅙(x+2)² + 4 (⅓(x+2))^(3/2)] |₋₂¹ − π[½x² + 4/3 x^(3/2)] |₀¹

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(b) This time, instead of slicing vertically, we'll divide the volume into concentric shells.  The radius of each shell y + 1.  The width of each shell is x₂ − x₁.

The thickness of each shell is dy.

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136π/15

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3 years ago
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