High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Chapter 3, Problem 57CR
To determine

To find: the range of acceptable lengths of the nail.

Expert Solution & Answer
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Answer to Problem 57CR

The range of acceptable lengths of the nail is between 19.6 mm and 20.4 mm.

Explanation of Solution

Given:

The ideal length of nail = 20 mm

The actual length can vary from ideal length by at most 0.4 mm.

Concept Used:

An absolute value inequality |A|b , where b>0 can be written as the compound inequality as:

  bAb

Let the actual length of the nail be x mm.

Then the difference between the actual length and ideal length of nail is = |x20| mm

But it is given that this difference can be at most 0.4 mm.

So, the given statement can be written in the inequality form as,

  |x20|0.4

Write as compound inequality,

  0.4x200.4

Add 20 to all sides of the above inequality,

  0.4+20x20+200.4+20

Simplify,

  19.6x20.4

Conclusion:

The range of acceptable lengths of the nail is between 19.6 mm and 20.4 mm.

Chapter 3 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 3.1 - Prob. 6LCCh. 3.1 - Prob. 7LCCh. 3.1 - Prob. 8PPECh. 3.1 - Prob. 9PPECh. 3.1 - Prob. 10PPECh. 3.1 - Prob. 11PPECh. 3.1 - Prob. 12PPECh. 3.1 - Prob. 13PPECh. 3.1 - Prob. 14PPECh. 3.1 - Prob. 15PPECh. 3.1 - Prob. 16PPECh. 3.1 - Prob. 17PPECh. 3.1 - Prob. 18PPECh. 3.1 - Prob. 19PPECh. 3.1 - Prob. 20PPECh. 3.1 - Prob. 21PPECh. 3.1 - Prob. 22PPECh. 3.1 - Prob. 23PPECh. 3.1 - Prob. 24PPECh. 3.1 - Prob. 25PPECh. 3.1 - Prob. 26PPECh. 3.1 - Prob. 27PPECh. 3.1 - Prob. 28PPECh. 3.1 - Prob. 29PPECh. 3.1 - Prob. 30PPECh. 3.1 - Prob. 31PPECh. 3.1 - Prob. 32PPECh. 3.1 - Prob. 33PPECh. 3.1 - Prob. 34PPECh. 3.1 - Prob. 35PPECh. 3.1 - Prob. 36PPECh. 3.1 - Prob. 37PPECh. 3.1 - Prob. 38PPECh. 3.1 - Prob. 39PPECh. 3.1 - Prob. 40PPECh. 3.1 - Prob. 41PPECh. 3.1 - Prob. 42PPECh. 3.1 - Prob. 43PPECh. 3.1 - Prob. 44PPECh. 3.1 - Prob. 45PPECh. 3.1 - Prob. 46PPECh. 3.1 - Prob. 47PPECh. 3.1 - Prob. 48PPECh. 3.1 - Prob. 49PPECh. 3.1 - Prob. 50PPECh. 3.1 - Prob. 51PPECh. 3.1 - Prob. 52PPECh. 3.1 - Prob. 53PPECh. 3.1 - 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Prob. 1PCh. 3.5 - Prob. 2PCh. 3.5 - Prob. 3PCh. 3.5 - Prob. 4PCh. 3.5 - Prob. 1LCCh. 3.5 - Prob. 2LCCh. 3.5 - Prob. 3LCCh. 3.5 - Prob. 4LCCh. 3.5 - Prob. 5LCCh. 3.5 - Prob. 6LCCh. 3.5 - Prob. 7LCCh. 3.5 - Prob. 8LCCh. 3.5 - Prob. 9PPECh. 3.5 - Prob. 10PPECh. 3.5 - Prob. 11PPECh. 3.5 - Prob. 12PPECh. 3.5 - Prob. 13PPECh. 3.5 - Prob. 14PPECh. 3.5 - Prob. 15PPECh. 3.5 - Prob. 16PPECh. 3.5 - Prob. 17PPECh. 3.5 - Prob. 18PPECh. 3.5 - Prob. 19PPECh. 3.5 - Prob. 20PPECh. 3.5 - Prob. 21PPECh. 3.5 - Prob. 22PPECh. 3.5 - Prob. 23PPECh. 3.5 - Prob. 24PPECh. 3.5 - Prob. 25PPECh. 3.5 - Prob. 26PPECh. 3.5 - Prob. 27PPECh. 3.5 - Prob. 28PPECh. 3.5 - Prob. 29PPECh. 3.5 - Prob. 30PPECh. 3.5 - Prob. 31PPECh. 3.5 - Prob. 32PPECh. 3.5 - Prob. 33PPECh. 3.5 - Prob. 34PPECh. 3.5 - Prob. 35PPECh. 3.5 - Prob. 36PPECh. 3.5 - Prob. 37PPECh. 3.5 - Prob. 38PPECh. 3.5 - Prob. 39PPECh. 3.5 - Prob. 40PPECh. 3.5 - Prob. 41PPECh. 3.5 - Prob. 42PPECh. 3.5 - Prob. 43PPECh. 3.5 - Prob. 44PPECh. 3.5 - Prob. 45PPECh. 3.5 - 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Prob. 1LCCh. 3.8 - Prob. 2LCCh. 3.8 - Prob. 3LCCh. 3.8 - Prob. 4LCCh. 3.8 - Prob. 5LCCh. 3.8 - Prob. 6LCCh. 3.8 - Prob. 7LCCh. 3.8 - Prob. 8LCCh. 3.8 - Prob. 9LCCh. 3.8 - Prob. 10PPECh. 3.8 - Prob. 11PPECh. 3.8 - Prob. 12PPECh. 3.8 - Prob. 13PPECh. 3.8 - Prob. 14PPECh. 3.8 - Prob. 15PPECh. 3.8 - Prob. 16PPECh. 3.8 - Prob. 17PPECh. 3.8 - Prob. 18PPECh. 3.8 - Prob. 19PPECh. 3.8 - Prob. 20PPECh. 3.8 - Prob. 21PPECh. 3.8 - Prob. 22PPECh. 3.8 - Prob. 23PPECh. 3.8 - Prob. 24PPECh. 3.8 - Prob. 25PPECh. 3.8 - Prob. 26PPECh. 3.8 - Prob. 27PPECh. 3.8 - Prob. 28PPECh. 3.8 - Prob. 29PPECh. 3.8 - Prob. 30PPECh. 3.8 - Prob. 31PPECh. 3.8 - Prob. 32PPECh. 3.8 - Prob. 33PPECh. 3.8 - Prob. 34PPECh. 3.8 - Prob. 35PPECh. 3.8 - Prob. 36PPECh. 3.8 - Prob. 37PPECh. 3.8 - Prob. 38PPECh. 3.8 - Prob. 39PPECh. 3.8 - Prob. 40PPECh. 3.8 - Prob. 41PPECh. 3.8 - Prob. 42PPECh. 3.8 - Prob. 43PPECh. 3.8 - Prob. 44PPECh. 3.8 - Prob. 45PPECh. 3.8 - Prob. 46STPCh. 3.8 - Prob. 47STPCh. 3.8 - Prob. 48STPCh. 3.8 - Prob. 49MRCh. 3.8 - Prob. 50MRCh. 3.8 - Prob. 51MRCh. 3.8 - Prob. 52MRCh. 3.8 - Prob. 53MRCh. 3.8 - Prob. 54MRCh. 3.8 - Prob. 55MRCh. 3.8 - Prob. 56MRCh. 3.8 - Prob. 57MRCh. 3.8 - Prob. 58MRCh. 3.8 - Prob. 59MRCh. 3.8 - Prob. 60MRCh. 3.8 - Prob. 61MRCh. 3.8 - Prob. 62MRCh. 3.8 - Prob. 63MRCh. 3 - Prob. 1GRCh. 3 - Prob. 2GRCh. 3 - Prob. 3GRCh. 3 - Prob. 4GRCh. 3 - Prob. 5GRCh. 3 - Prob. 6GRCh. 3 - Prob. 7GRCh. 3 - Prob. 8GRCh. 3 - Prob. 9GRCh. 3 - Prob. 10GRCh. 3 - Prob. 11GRCh. 3 - Prob. 12GRCh. 3 - Prob. 13GRCh. 3 - Prob. 14GRCh. 3 - Prob. 15GRCh. 3 - Prob. 16GRCh. 3 - Prob. 17GRCh. 3 - Prob. 18GRCh. 3 - Prob. 19GRCh. 3 - Prob. 20GRCh. 3 - Prob. 21GRCh. 3 - Prob. 22GRCh. 3 - Prob. 23GRCh. 3 - Prob. 24GRCh. 3 - Prob. 25GRCh. 3 - Prob. 26GRCh. 3 - Prob. 27GRCh. 3 - Prob. 28GRCh. 3 - Prob. 29GRCh. 3 - Prob. 30GRCh. 3 - Prob. 31GRCh. 3 - Prob. 32GRCh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 13CRCh. 3 - Prob. 14CRCh. 3 - Prob. 15CRCh. 3 - Prob. 16CRCh. 3 - Prob. 17CRCh. 3 - Prob. 18CRCh. 3 - Prob. 19CRCh. 3 - Prob. 20CRCh. 3 - Prob. 21CRCh. 3 - Prob. 22CRCh. 3 - Prob. 23CRCh. 3 - Prob. 24CRCh. 3 - Prob. 25CRCh. 3 - Prob. 26CRCh. 3 - Prob. 27CRCh. 3 - Prob. 28CRCh. 3 - Prob. 29CRCh. 3 - Prob. 30CRCh. 3 - Prob. 31CRCh. 3 - Prob. 32CRCh. 3 - Prob. 33CRCh. 3 - Prob. 34CRCh. 3 - Prob. 35CRCh. 3 - Prob. 36CRCh. 3 - Prob. 37CRCh. 3 - Prob. 38CRCh. 3 - Prob. 39CRCh. 3 - Prob. 40CRCh. 3 - Prob. 41CRCh. 3 - Prob. 42CRCh. 3 - Prob. 43CRCh. 3 - Prob. 44CRCh. 3 - Prob. 45CRCh. 3 - Prob. 46CRCh. 3 - Prob. 47CRCh. 3 - Prob. 48CRCh. 3 - Prob. 49CRCh. 3 - Prob. 50CRCh. 3 - Prob. 51CRCh. 3 - Prob. 52CRCh. 3 - Prob. 53CRCh. 3 - Prob. 54CRCh. 3 - Prob. 55CRCh. 3 - Prob. 56CRCh. 3 - Prob. 57CRCh. 3 - Prob. 58CRCh. 3 - Prob. 59CRCh. 3 - Prob. 60CRCh. 3 - Prob. 61CRCh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - Prob. 16CTCh. 3 - Prob. 17CTCh. 3 - Prob. 18CTCh. 3 - Prob. 19CTCh. 3 - Prob. 20CTCh. 3 - Prob. 21CTCh. 3 - Prob. 22CTCh. 3 - Prob. 23CTCh. 3 - Prob. 24CTCh. 3 - Prob. 25CTCh. 3 - Prob. 26CTCh. 3 - Prob. 27CTCh. 3 - Prob. 28CTCh. 3 - Prob. 1CCSRCh. 3 - Prob. 2CCSRCh. 3 - Prob. 3CCSRCh. 3 - Prob. 4CCSRCh. 3 - Prob. 5CCSRCh. 3 - Prob. 6CCSRCh. 3 - Prob. 7CCSRCh. 3 - Prob. 8CCSRCh. 3 - Prob. 9CCSRCh. 3 - Prob. 10CCSRCh. 3 - Prob. 11CCSRCh. 3 - Prob. 12CCSRCh. 3 - Prob. 13CCSRCh. 3 - Prob. 14CCSRCh. 3 - Prob. 15CCSRCh. 3 - Prob. 16CCSRCh. 3 - Prob. 17CCSRCh. 3 - Prob. 18CCSRCh. 3 - Prob. 19CCSRCh. 3 - Prob. 20CCSRCh. 3 - Prob. 21CCSRCh. 3 - Prob. 22CCSRCh. 3 - Prob. 23CCSRCh. 3 - Prob. 24CCSRCh. 3 - Prob. 25CCSRCh. 3 - Prob. 26CCSRCh. 3 - Prob. 27CCSRCh. 3 - Prob. 28CCSRCh. 3 - Prob. 29CCSRCh. 3 - Prob. 30CCSRCh. 3 - Prob. 31CCSRCh. 3 - Prob. 32CCSR

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