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irina1246 [14]
3 years ago
13

Simplify: Cube root of (128a^13b^6)

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
7 0
\sqrt[3]{128a^{13}b^{6}} \\\sqrt[3]{64a^{12}b^{6} * 2a} \\\sqrt[3]{64a^{12}b^{6}}\sqrt[3]{2a} \\4a^{4}b^{2}\sqrt[3]{2a}
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Ben needs 1 3/8 feet of fabric to make one banner. How many banners can he make from 4 1/2 yards of fabric?
skelet666 [1.2K]

Answer:

x = 9.818

x≈10

The number of banners that can be made are 10

Step-by-step explanation:

We can use the knowledge of proportion to solve this.

First we need to convert yard to feet.

  1  yard      = 3 foot

4 1/2 yard    = y

cross-multiply

y =  4 1/2  ×  3

    =9/2  ×   3

y = \frac{27}{2} feet

This implies 4 1/2 yards =  \frac{27}{2} feet

Let x be the numbers of banners needed to make from 4 1/2 yards of fabric.

1 3/8 feet  = 1 banner

\frac{27}{2}  feets    =    x

cross multiply

1 3/8 × x =  \frac{27}{2}

\frac{11x}{8}  =  \frac{27}{2}

cross-multiply

22x = 216

Divide both-side of the equation by 22

22x/22 = 216/22

x = 9.818

x≈10

The number of banners that can be made are 10

3 0
3 years ago
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just olya [345]

Answer:

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Step-by-step explanation:

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2 years ago
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Answer:

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Step-by-step explanation:

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The minimum number of train cars needed is 8 because 112 multiplied by 8 is 896 which means 7 trains will be full and the last one will only carry 108 crates
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vladimir2022 [97]

Answer:

True

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Step-by-step explanation:

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