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Q64.

Expert-verified

Pre-algebra

Found in: Page 480

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Solve the equation. Round to the nearest hundredth if necessary.
$1.5 n^{2} + 7 = 20$

$n = 2.94$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The given equation is $1.5 n^{2} + 7 = 20$ .

Step 2. Calculation.

The solution of the given equation will be

$\begin{matrix} 1.5 n^{2} + 7 = 20 \\ 1.5 n^{2} = 20 - 7 \\ 1.5 n^{2} = 13 \\ n^{2} = \frac{13}{1.5} \end{matrix}$

Simplify it further.

$\begin{matrix} n = \sqrt{8.667} \\ = 2.943 \\ n \approx 2.94 \end{matrix}$

Step 3. Conclusion.

The solution of the given equation is $n = 2.94$ .

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