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  • 11-05-2017
  • Mathematics
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A student reads 2⁄5 of a book in 45 minutes. How much of the book will be read if the student reads at the same speed for 70 minutes?

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jdoe0001 jdoe0001
  • 11-05-2017
[tex]\bf \begin{array}{ccllll} read&minutes\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ \frac{2}{5}&45\\ x&70 \end{array}\implies \cfrac{\frac{2}{5}}{x}=\cfrac{45}{70}\implies \cfrac{\frac{2}{5}}{\frac{x}{1}}=\cfrac{45}{70} \\\\\\ \cfrac{2}{5}\cdot \cfrac{1}{x}=\cfrac{45}{70}\implies \cfrac{2}{5x}=\cfrac{45}{70}[/tex]

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