Chapter 2: Q. 73 (page 217)

Miguel wants to drill a hole for a $\frac{5}{8} i n c h$ screw. The hole should berole="math" localid="1649940091523" $\frac{1}{12} i n c h$ smaller than the screw. Let d equal the size of the hole he should drill. Solve the equation role="math" localid="1649940182352" $d - \frac{1}{12} = \frac{5}{8}$ to see what size the hole should be.

Short Answer

Expert verified

$Thesizetheholeshouldbe d = \frac{17}{24} inch$

Step by step solution

Step1. Given information

The given equation is $d - \frac{1}{12} = \frac{5}{8}$

Let d equal the size of the hole he should drill.

We have to solve the given equation to see what size the hole should be.

Step 2. Explanation

$\begin{array}{l} Solve: d - \frac{1}{12} = \frac{5}{8} \\ \Rightarrow d - \frac{1}{12} + \frac{1}{12} = \frac{5}{8} + \frac{1}{12} (Add \frac{1}{12} tobothsides) \\ \Rightarrow d = \frac{5}{8} + \frac{1}{12} (Simplify) \\ \Rightarrow d = \frac{15 + 2}{24} (TakeLCD) \\ \Rightarrow d = \frac{17}{24} (Simplify) \\ Thesizetheholeshouldbe d = \frac{17}{24} inch \end{array}$

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Miguel wants to drill a hole for a 58inchscrew. The hole should berole="math" localid="1649940091523" 112inch smaller than the screw. Let d equal the size of the hole he should drill. Solve the equation role="math" localid="1649940182352" d−112=58to see what size the hole should be.

Short Answer

Step by step solution

Step1. Given information

Step 2. Explanation

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