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Rashid [163]
3 years ago
10

Solve for x: I need a answer with an explanation. Algebra 1

Mathematics
1 answer:
kirill115 [55]3 years ago
3 0

Answer: x = -1

Step-by-step explanation:

You need to convert to the same base

\frac{1}{16}  = \frac{1}{2^{4} } = 2^{-4}

So

2^{-4} = 2^{-2x-6}

For these values to be equal, the exponents have to be equal

-4 = -2x - 6

2 = -2x

x = -1

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The from is the key word

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3 0
2 years ago
A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of t
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Answer:   Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

Step-by-step explanation:

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Width of seven pencils = 2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}

Width of box is not taken up by pencils =  Width of pencil box  - Width of seven pencils

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Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil = (Width of seven pencils ) ÷ 7

=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

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3 years ago
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6b-18c+18x is simplified for you


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