Chapter 2: Q2B. (page 112)

Use cross products to determine whether each pair of ratios forms a proportion.
$\frac{15}{36}, \frac{35}{42}$

Short Answer

Expert verified

No, the pair of ratios $\frac{15}{36}, \frac{35}{42}$ do not form the proportion.

Step by step solution

Step-1. Define proportion.

If $\frac{a}{b} = \frac{c}{d}$ , where a and d are extremes and b and c are the means, then in a proportion the product of the extremes is equal to the product of the means that is., $a d = b c, b, d \neq 0$ .

Step-2. Determine the cross products.

Use cross products to determine whether two ratios form a proportion.

$\begin{matrix} \frac{15}{36} \overset{?}{=} \frac{35}{42} \\ 15 \times 42 \overset{?}{=} 35 \times 36 \\ 630 \neq 1260 \end{matrix}$

Step-3. State the conclusion.

Since, the cross products are not equal, that is., $630 \neq 1260$ , therefore the ratios do not form the proportion.

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Use cross products to determine whether each pair of ratios forms a proportion.
$\frac{15}{36}, \frac{35}{42}$

Short Answer

Step by step solution

Step-1. Define proportion.

Step-2. Determine the cross products.

Step-3. State the conclusion.

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Use cross products to determine whether each pair of ratios forms a proportion.1536, 3542

Short Answer

Step by step solution

Step-1. Define proportion.

Step-2. Determine the cross products.

Step-3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

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Geometry

Study anywhere. Anytime. Across all devices.

Use cross products to determine whether each pair of ratios forms a proportion.
$\frac{15}{36}, \frac{35}{42}$