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Minchanka [31]
3 years ago
14

Allyson has 4.5 pieces of rope to use for a tire swing. If each full piece is 2 2/3 feet long, how much rope does Allyson have i

n all?
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
6 0

Answer:

12 feet

Step-by-step explanation:

4.5 pieces of rope = 9/2 pieces in fractions

Also, 2 2/3 can be rewritten as 8/3 in fractions

So, 9/2 *8/3 = 72/6 = 12 feet

Allyson has 12 feet of rope in all.

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Considering the conversion from exponent to radical, the equation that justifies why the expression 9^{\frac{1}{3}} = \sqrt[3]{9} is correct is.

(9^{\frac{1}{3}})^{3} = 9^{\frac{3}{3}} = 9

<h3>How is the conversion from exponent to radical realized?</h3>

The conversion of rational exponents to radical notation is modeled by:

a^{\frac{n}{m}} = \sqrt[m]{a^n}

In this problem, the expression is:

9^{\frac{1}{3}} = \sqrt[3]{9}

And the equation that shows that this is correct is:

(9^{\frac{1}{3}})^{3} = 9^{\frac{3}{3}} = 9

More can be learned about the conversion from exponent to radical at brainly.com/question/19627260

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