Chapter 4: Q60. (page 181)

BASIC SKILL
Use cross products to solve each proportion.
60. $\frac{4}{20} = \frac{1}{m}$

Short Answer

Expert verified

Given proportion is simplified to $m = 5$

Step by step solution

- Cross product between two proportions

Let $\frac{a}{b}$ and $\frac{c}{d}$ be two equal proportions that is $\frac{a}{b} = \frac{c}{d}$

Then cross product is defined as multiplication of denominator of one proportion with the numerator of other proportion, that is $a d = b c$

- Substitution

Substitute 4 for a, 20 for b, 1 for c, and m for d into $a d = b c$ gives

$4 \times m = 20 \times 1$

- Simplify 4×m=20×1

To simplify this expression multiply both the numbers of right side and then divide it from number on the left as shown below

\begin{matrix} 4 m = 20 \\ m = \frac{20}{4} \\ m = 5 \end{matrix}

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BASIC SKILL
Use cross products to solve each proportion.
60. $\frac{4}{20} = \frac{1}{m}$

Short Answer

Step by step solution

- Cross product between two proportions

- Substitution

- Simplify 4×m=20×1

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BASIC SKILLUse cross products to solve each proportion.60. 420=1m

Short Answer

Step by step solution

- Cross product between two proportions

- Substitution

- Simplify 4×m=20×1

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Mechanics Maths

Decision Maths

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

BASIC SKILL
Use cross products to solve each proportion.
60. $\frac{4}{20} = \frac{1}{m}$