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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q 248 (page 695)

Solve the rational equation $\frac{R}{T} = W$ for the variable T.

Short Answer

Expert verified

The required expression is $T = \frac{R}{W}$ .

Step by step solution

01

Given information

The equation is given as $\frac{R}{T} = W$ for the variable T.

02

Solve the given equation

Apply the algebraic operations to find the required equation.

Multiply T and divide the given equation by W into both sides.

$\begin{array}{rcl} \frac{R}{T} & = & W \\ \frac{R}{T} \times \frac{T}{W} & = & W \times \frac{T}{W} \\ \frac{R}{W} & = & T \end{array}$

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Most popular questions from this chapter

Simplify the rational expression $\frac{12 p - 240}{5 p - 100} .$

In the following exercises, divide the rational expressions.

$\frac{\frac{4 d^{2} + 7 d - 2}{35 d + 10}}{\frac{d^{2} - 4}{7 d^{2} - 12 d - 4}}$

For the following exercises, perform the indicated operations.

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

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

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

In the following exercise, perform the indicated operation:

$\frac{6 d}{d - 5} + \frac{1}{d + 4} - \frac{7 d - 5}{d^{2} - d - 20}$

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