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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 255 (page 714)

Solve Proportion: $\frac{98}{154} = \frac{- 7}{p}$

Short Answer

Expert verified

Value of $p$ is $- 11$ .

Step by step solution

01

Step 1. Given Information

A proportion is given: $\frac{98}{154} = \frac{- 7}{p}$

02

Step 2. Required to find

Solve the proportion and find value of $p$ .

03

Step 3. Finding the value of p

Rearrange the proportion to keep only $p$ on the left hand side and simplify the remaining fraction on the right hand side.

$p = \frac{- 7 \times 154}{98}$

$14$ divides both $154$ and $98$

$p = \frac{- 7 \times 11}{7}$

$p = - 11$

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Most popular questions from this chapter

Solve the equation $c = \frac{2}{a} + \frac{b}{5}$ for the variable $a$ .

Check whether the points $y = - 6, y = 4$ are the solutions of the equation $\frac{y}{y + 6} = \frac{72}{y^{2} - 36} + 4$ or not.

For the following exercises, perform the indicated operations.

$\frac{4 n^{2} + 32 n}{3 n + 2} . \frac{3 n^{2} - n - 2}{n^{2} + n - 30} \div \frac{108 n^{2} - 24 n}{n + 6}$

For the following exercises, perform the indicated operations.

$\frac{6 q + 3}{9 q^{2} - 9 q} \div \frac{q^{2} + 14 q + 33}{q^{2} + 4 q - 5} . \frac{4 q^{2} + 12 q}{12 q + 6}$

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

$\frac{1}{2} + \frac{12}{x^{2}} > \frac{5}{x}$

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