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3 years ago

8

Raul has 4/5 pound of modeling clay. He needs to divide the clay into bags that hold 1/10 pound each. How many bags will he fill

?

1 answer:

____ [38]3 years ago

5 0

Answer:

The Answer would be 8.

Step-by-step explanation:

I just did a quiz with this exact question

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$\green{\large\underline{\sf{Solution-}}}$

<u>Given expression is </u>

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can be rewritten as

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We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\$

And

$\purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\$

So, using this identity, we

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can be further rewritten as

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)}$

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$\rm \: = \: \dfrac{4}{24}$

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<u>Hence, </u>

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