Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 212: 69

Answer

a) Acceptable range (with wrapper): 193.74 grams to 209.26 grams b) Yes, it is possible. If 20 nickels weigh 4.9 grams, and the other 20 nickels weigh 5.1 grams, then the weight of the 40 nickels would be 200 grams. Add the 1.5 grams for the wrapper, and the weight would be 201.5 grams. (4.9 and 5.1 grams are within the acceptable variance of .194 grams)

Work Step by Step

a) $5-.194 = 4.806$ grams $4.806 * 40 = 192.24$ grams $192.24 + 1.5 = 193.74$ grams $5 + .194 = 5.194$ grams $5.194 * 40 = 207.76$ grams $207.76 + 1.5 = 209.26$ grams b) $20* 4.9 + 20 * 5.1 = 98 + 102 = 200$
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