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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset 91影视 Explanations$ Math

Common Core Edition 路 183 pages

ISBN: 9780547587776

Chapter 6: Q2. (page 277)

Write the equivalent rate.
$\frac{5 鈥� c m}{1 鈥夆赌� \min} = \frac{? 鈥� c m}{1 鈥� h}$

Short Answer

Expert verified

The equivalent rate of $\frac{5 cm}{1min}$ is given by $\frac{300 cm}{1hour}$ .

Step by step solution

01

. Given

The given rate is $\frac{5 cm}{1min}$ .

02

.To determine

We have to convert the given ratio from cm per min to cm per hour form.

03

. Calculation

In order to convert the minutes into the hour, we will have to multiply the rate by a conversion factor.

$\begin{array}{l} Weknowthat1hour=60minutes,so \frac{60 min}{1 hour} = 1. \\ \frac{5 cm}{1 min} = \frac{5 cm}{1 min} 鈰� \frac{60 min}{1 hour} [Multiplyratebyconversionfactor.] \\ = \frac{300 cm}{1 hour} . [Canceloutcommonunitsandsimplify] \end{array}$

Hence,

$\frac{5 cm}{1min} = \frac{300 cm}{1hour}$

So, the required equivalent rate of $\frac{5 cm}{1min}$ is $\frac{300 cm}{1hour}$ .

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