Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q16

Expert-verified

Algebra 1

Found in: Page 603

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

**Use cross products to determine whether each pair of ratios forms a proportion. Write yes or no.
$\frac{2}{3}$ and $\frac{4}{9}$**

The given pair of ratios does not form a proportion. So, final answer is “no”.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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 23 and 49 forms a proportion.

Cross multiply the numbers.

$\begin{matrix} 2 \times 9 = 18 \\ 3 \times 4 = 12 \end{matrix}$

Since, $18 \neq 12$

Hence, the ratios $\frac{2}{3}$ and $\frac{4}{9}$ are not in proportion.

Therefore, the given pair of ratios does not form a proportion. So, final answer is “no”.

Most popular questions for Math Textbooks

Graph the function, and compare to the parent graph. State the domain and range.

$y = \frac{1}{2} \sqrt{x} - 1$

Graph each function. Compare to the parent graph. State the domain and range.

$y = \sqrt{x} - 3$

Simplify the expression.

$x + y - 3 x - 4 y + 2 x - 8 y$

A cylindrical container of chocolate drink mix has a volume of about $162 i n^{3}$ . The radius of the container can be found by using the formula $r = \sqrt{\frac{V}{π h}}$ , where $r$ is the radius and $h$ is the height. If the height is $8.25$ inches, find the radius of the cylinder.

Graph the function, and compare to the parent graph. State the domain and range.

$g (x) = \sqrt{x} - 4$

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free