Chapter 7: Q8. (page 344)

Solve the proportion.
$\frac{7.5}{x} = \frac{5}{8}$

Short Answer

Expert verified

The value of $x$ in the given proportion is 12.

Step by step solution

Step 1. Given Information.

The proportion is $\frac{7.5}{x} = \frac{5}{8}$ .

Step 2. Formula used.

Cross-product property:

If $\frac{a}{b} = \frac{c}{d}$ , where $b \neq 0$ and $d \neq 0$ , then $a d = b c$ .

Step 3. Calculation.

Consider the proportion given:

$\frac{7.5}{x} = \frac{5}{8}$

Use cross product property.

$\begin{matrix} 7.5 \cdot 8 = 5 \cdot x \\ 60 = 5 x [multiply] \\ \frac{60}{5} = \frac{5 x}{5} [divideeachsideby5] \\ 12 = x [simplify] \end{matrix}$

Hence,

$\frac{7.5}{12} = \frac{5}{8}$

Step 4. Conclusion.

The value of $x$ in the given proportion is 12.

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Solve the proportion.
$\frac{7.5}{x} = \frac{5}{8}$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

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Solve the proportion.7.5x=58

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

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Solve the proportion.
$\frac{7.5}{x} = \frac{5}{8}$