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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 254 (page 714)

Solve the proportion $\frac{56}{72} = \frac{y}{9}$ .

Short Answer

Expert verified

The solution to the given proportion is $y = 7$ .

Step by step solution

01

Given information

The proportion is given as $\frac{56}{72} = \frac{y}{9}$ to find the solution.

02

Find the solution

Apply the algebraic operations to find the solution of the given equation.

Multiply 9 into both sides of the given equation and solve.

$\begin{array}{rcl} \frac{56}{72} & = & \frac{y}{9} \\ \frac{56}{72} \times 9 & = & \frac{y}{9} \times 9 \\ 7 & = & y \end{array}$

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Most popular questions from this chapter

In the following exercises, solve each rational inequality and write the solution in interval notation.

$\frac{1}{x^{2} - 16} < 0$

Solve each rational function inequality and write the solution in interval notation.

Given the function $R (x) = \frac{(x - 5)}{(x - 2)}$ find the values of x that make the function less than or equal to 0.

In the following exercises, divide the rational expressions.

$\frac{\frac{12 c^{2} - 12}{2 c^{2} - 3 c + 1}}{\frac{4 c + 4}{6 c^{2} - 13 c + 5}}$

Divide the rational expression $\frac{3 y^{2} - 12 y - 63}{4 y + 3} \div (6 y^{2} - 42 y)$

In the following exercises, find the domain of each function.

$R (x) = \frac{8 x^{2} - 32 x}{2 x^{2} - 6 x - 80}$

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