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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset Vaia Explanations$ Math

Common Core Edition · 183 pages

ISBN: 9780547587776

Chapter 6: Q17. (page 288)

Use algebra to solve the proportion.
$\frac{x}{8} = \frac{35}{56}$

Short Answer

Expert verified

The solution is $x = 5$ .

Step by step solution

Step 1. Given

The given proportion is $\frac{x}{8} = \frac{35}{56} .$

Step 2. To determine

We have to solve the proportion using algebra.

Step 3. Calculation

Solve the given proportion.

$\begin{matrix} \frac{x}{8} = \frac{35}{56} \\ \frac{x}{8} \cdot 8 = \frac{35}{56} \cdot 8 [multiplyeachsideby8] \\ x = \frac{280}{56} [simplify] \\ = 5 [divide] \end{matrix}$

So, the solution is $x = 5$ .

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Use algebra to solve the proportion. x8=3556

Short Answer

Step by step solution

Step 1. Given

Step 2. To determine

Step 3. Calculation

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Use algebra to solve the proportion.
$\frac{x}{8} = \frac{35}{56}$