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tensa zangetsu [6.8K]
3 years ago
11

Simplify: x^3÷x^5 A.) x^2 B.)x^8 C.)x^-8 or D.)x^-2

Mathematics
2 answers:
Kamila [148]3 years ago
8 0
X^3 / x^5  = x^(3-5)  = x^-2  Answer
LenaWriter [7]3 years ago
7 0
\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------\\\\
x^3\div x^5\implies \cfrac{x^3}{x^5}\implies \cfrac{x^3}{1}\cdot \cfrac{1}{x^5}
\\\\\\
x^3x^{-5}\implies x^{3-5}\implies  x^{-2}\implies \cfrac{1}{x^2}
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Scott ran 11 kilometers in nine days. One mile is approximately 1.6 kilometers. About how many miles did Scott run?
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Scott run 6.875 miles in nine days.

Step-by-step explanation:

Given,

Distance covered by Scott = 11 kilometer

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11 kilometers = 6.875 miles

Scott run 6.875 miles in nine days.

Keywords: unit rate, multiplication

Learn more about multiplication at:

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Find the inverse of the following equation: y=2x-3
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Step-by-step explanation:

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3 years ago
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Staples recently charged $3.79 per ream (package of 500 sheets) of regular paper and $5.49 per ream of paper made of recycled fi
Ipatiy [6.2K]
<h3>Given</h3>

regular paper costs $3.79 per ream

recycled paper costs $5.49 per ream

$582.44 was spent for 116 reams

<h3>Find</h3>

the numbers of reams of each type that were purchased

<h3>Solution</h3>

Let r and g represent the numbers of reams of regular and recycled ("green") paper, respectively.

... r + g = 116 . . . . . . . . 116 reams were purchased

... 3.79r + 5.49g = 582.44 . . . . this is the total cost of the purchase

Solve the first equation for r and substitute that into the second equation.

... r = 116 - g

... 3.79(116 - g) + 5.49g = 582.44 . . . . . use the expression for r

... 1.70g + 439.64 = 582.44 . . . . . . . . . simplify

... g = (582.44 -439.64)/1.70 = 84 . . . . subtract the constant, divide by 1.70

... r = 116 -84 = 32 . . . . . . . . . . . . . . . . . use the equation for r

32 regular reams and 84 recycled reams were purchased

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3 years ago
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