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postnew [5]
3 years ago
12

On Wednesday 34 of the customers who bought gas at a gas station made additional purchases. There were 120 customers who bought

gas. How many of these 120 customers also made additional purchases?
Mathematics
1 answer:
avanturin [10]3 years ago
5 0

Answer:

86

Step-by-step explanation:

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Simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7BX-10%7D" id="TexFormula1" title="\frac{1}{X-10}" alt="\frac{1}{X-10}
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In the second fraction, factorize the denominator:

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Then we have, as long as x\neq10,

\dfrac1{x-10}\div\dfrac{9x}{x^2-9x-10}=\dfrac{\frac1{x-10}}{\frac{9x}{(x-10)(x+1)}}=\dfrac1{\frac{9x}{x+1}}=\dfrac{x+1}{9x}

which you could also write as

\dfrac{x+1}{9x}=\dfrac x{9x}+\dfrac1{9x}=\dfrac19+\dfrac1{9x}

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