Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 1 - Unit 1C Review - Page 96: 12


$6$ pieces of $2.75$-in cables can be cut from the $18.5$-in cable $2$ inches of the original cable will be left.

Work Step by Step

To know how many cables $2.75$ inches long can be cut from the $18,5$-in long cable, divide $18.5$ by $2.75$ using long division to get $6.\overline{72}$. Refer to the attached image below for the actual division. Thus, 6 pieces of $2.75$-inch cables can be cut from the given $18.5$-in cable. To know how much of the cable is left, subtract the total length of the 6 pieces of shorter cables from $18.5$ to obtain: $=18.5 - 6(2.75) \\=18.5 - 16.5 \\=2 \text{ ft}$
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