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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q 449 (page 738)

In the following exercise solve $\frac{s}{s + 20} = \frac{3}{7}$

Short Answer

Expert verified

The solution is $s = 15$

Step by step solution

01

Step 1. Given information

$\frac{s}{s + 20} = \frac{3}{7}$

02

Step 2. solve

Multiply both sides by LCD.

$(s + 20) (7) (\frac{s}{s + 20}) = (s + 20) (7) (\frac{3}{7}) 7 s = 3 s + 60 4 s = 60 s = 15$

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Most popular questions from this chapter

For the following exercises, find $R (x) = f (x) . g (x)$ where $f (x) a n d g (x)$ are given.

$f (x) = \frac{4 x}{x^{2} - 3 x - 10} a n d g (x) = \frac{x^{2} - 25}{8 x^{2}}$

Simplify the complex rational expression by LCD:

$\frac{\frac{1}{2} + \frac{1}{5}}{\frac{1}{10} + \frac{1}{5}}$

In the following exercises, divide the rational expressions.

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

Simplify $\frac{x^{2} + 7 x + 12}{x^{2} + 8 x + 16}$

For the following exercises, perform the indicated operations.
$\frac{12 p^{2} + 3 p}{p + 3} \div \frac{p^{2} + 2 p - 63}{p^{2} - p - 12} . \frac{p - 7}{9 p^{3} - 9 p^{2}}$

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