Chapter 10: Q17. (page 603)

Use cross products to determine whether each pair of ratios forms a proportion. Write yes or no.
$\frac{3}{4}$ and $\frac{15}{20}$

Short Answer

Expert verified

The given pair of ratios forms a proportion. So, final answer is “yes”.

Step by step solution

Step 1. Define a ratio.

The ratio of the two numbers x and y is defined as $x : y = \frac{x}{y}$ , where, $y \neq 0$ .

Step 2. Use cross products to determine whether the pair of ratios ab and cd forms a proportion.

The pair of ratio $\frac{a}{b}$ and $\frac{c}{d}$ forms a proportion if, $a . d = b . c$ .

Step 3. Use cross products to determine whether the pair of ratios 34 and 1520 forms a proportion.

Cross multiply the numbers.

$\begin{matrix} 3 \times 20 = 60 \\ 4 \times 15 = 60 \end{matrix}$

Since, $60 = 60$

Hence, the ratios $\frac{3}{4}$ and $\frac{15}{20}$ are not in proportion.

Therefore, the given pair of ratios forms a proportion. So, final answer is “yes”.

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Use cross products to determine whether each pair of ratios forms a proportion. Write yes or no.
$\frac{3}{4}$ and $\frac{15}{20}$

Short Answer

Step by step solution

Step 1. Define a ratio.

Step 2. Use cross products to determine whether the pair of ratios ab and cd forms a proportion.

Step 3. Use cross products to determine whether the pair of ratios 34 and 1520 forms a proportion.

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Use cross products to determine whether each pair of ratios forms a proportion. Write yes or no.34and1520

Short Answer

Step by step solution

Step 1. Define a ratio.

Step 2. Use cross products to determine whether the pair of ratios ab and cd forms a proportion.

Step 3. Use cross products to determine whether the pair of ratios 34 and 1520 forms a proportion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Applied Mathematics

Logic and Functions

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Use cross products to determine whether each pair of ratios forms a proportion. Write yes or no.
$\frac{3}{4}$ and $\frac{15}{20}$