Q17. Use cross products to determine ... [FREE SOLUTION]

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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

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 鈥測es鈥�.

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, $y 鈮� 0$ .

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.

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

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 鈥測es鈥�.

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91影视

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.

One App. One Place for Learning.

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91影视

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

Calculus

Logic and Functions

Pure Maths

Theoretical and Mathematical Physics

Statistics

Probability and 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 $\frac{15}{20}$