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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 7: Q36. (page 244)

Find the ratio of x to y : $\frac{4}{y} + \frac{3}{x} = 44$

Short Answer

Expert verified

The required answer is $x : y = 5 : 8$ .

Step by step solution

01

Step 1. Given information.

$\begin{matrix} \frac{4}{y} + \frac{3}{x} = 44 \\ \frac{12}{y} 鈭� \frac{2}{x} = 44 \end{matrix}$

02

Step 2. Concept used.

Both equations have same value 44

So, we can equate both the equations.

03

Step 3. Equate the two equations.

Find the required ratio.

$\begin{matrix} \frac{4}{y} + \frac{3}{x} = \frac{12}{y} 鈭� \frac{2}{x} \\ \frac{12}{y} 鈭� \frac{4}{y} = \frac{3}{x} + \frac{2}{x} \\ \frac{12 鈭� 4}{y} = \frac{3 + 2}{x} \\ \frac{8}{y} = \frac{5}{x} \\ \frac{x}{y} = \frac{5}{8} \end{matrix}$

Therefore, the final answer is $x : y = 5 : 8$ .

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Most popular questions from this chapter

Find the measure of each angle.

The measures of the angles of a triangle are in the ratio $3 : 4 : 5$ .

$x = 12, y = 10, a n d z = 24$ .Write each ratio in simplest form.

$x+ytoz$

For the figure shown, it is given that $\frac{K R}{R T} = \frac{K S}{S U}$ . Copy and complete the table.

$(a)$ Apply the means-extremes property of proportions to the proportion.

$\frac{e}{f} = \frac{g}{5}$ and you get $5 e = ?$

$(b)$ Apply the property to the proportion $\frac{5}{f} = \frac{g}{e}$ and you get $? = ?$

$(c)$ Are the proportions $\frac{e}{f} = \frac{g}{5}$ and $\frac{5}{f} = \frac{g}{e}$ equivalent Why

Points Band C lies on $\overset{炉}{A D}$ . Find AC if $\frac{A B}{B D} = \frac{3}{4}, \frac{A C}{C D} = \frac{5}{6},$

and $B D = 66$ .

See all solutions

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