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vampirchik [111]

3 years ago

10

Multiply. Answer as a fraction. Do not include spaces in your answer 5 1/6•(-2/5) =???

1 answer:

Ne4ueva [31]3 years ago

3 0

Answer:

2 1/15

Step-by-step explanation:

<em>Hey there!</em>

<em />

Well to multiply,

5 1/6 • -2/5,

we need to make 5 1/6 improper

$\frac{31}{6} * -\frac{2}{5}$

31 * 2 = 62

6 * 5 = 30

$-\frac{62}{30}$

Simplified,

$\frac{31}{15} \\Proper\\2 \frac{1}{15}$

2 1/15

<em>Hope this helps :)</em>

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Step-by-step explanation:

The sound of a jet engine is 70,000 times louder than that of a lawn mower.

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3 years ago

A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base.

noname [10]

Answer:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

Step-by-step explanation:

Given

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Required

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$Volume = LWH$

This gives:

$128 = LWH$

Substitute $L = 2W$

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Make H the subject

$H = \frac{128}{2W^2}$

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The surface area is:

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So, we have:

$A = LW + 2(WH + LH)$

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$Cost = 9 * LW + 6 * 2(WH + LH)$

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$Cost = 9 * LW + 12H(W + L)$

Substitute: $H = \frac{64}{W^2}$ and $L = 2W$

$Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)$

$Cost =18W^2 + \frac{768}{W^2}*3W$

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$C' =2*18W + -1 * 2304W^{-2}$

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$36W = 2304W^{-2}$

Divide both sides by W

$36 = 2304W^{-3}$

Rewrite as:

$36 = \frac{2304}{W^3}$

Solve for $W^3$

$W^3 = \frac{2304}{36}$

$W^3 = 64$

Take cube roots

$W = 4$

Recall that:

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$H = \frac{64}{4^2}$

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$H = 4$

Hence, the dimension that minimizes the cost is:

$Width = 4ft$

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$Length = 8ft$

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Answer:

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3 years ago

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