ELEMENTARY+INTERMEDIATE ALGEBRA
ELEMENTARY+INTERMEDIATE ALGEBRA
6th Edition
ISBN: 9781285074672
Author: Larson
Publisher: CENGAGE L
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Question
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Chapter 5.2, Problem 52E

a.

To determine

To find the weight in pounds gained by the lobster after each molting.

a.

Expert Solution
Check Mark

Answer to Problem 52E

The weight gained by the lobster after first molting is 12lb

The weight gained by the lobster after second molting is 34lb

The weight gained by the lobster after third molting is 114lb

The weight gained by the lobster after fourth molting is 32lb

Explanation of Solution

Given information:

The given statement is:

“A lobster periodically sheds its shell and grows a new shell. During this process, which is called molting, the weight of the lobster increases, as shown in the table:”

  ELEMENTARY+INTERMEDIATE ALGEBRA, Chapter 5.2, Problem 52E , additional homework tip 1

Calculation :

Weight gained by the lobster after each molting is calculated by:

Weight gained by the lobster after first molting:

  134−114=74−54=7−54    [Write difference of numerators over the denominator]=24         [Subtract]=12lb         [Simplify]

Hence, weight gained by the lobster after first molting is y 12lb

Weight gained by the lobster after second molting:

  224−134=104−74=10−74    [Write difference of numerators over the denominator]=34lb         [Subtract]

Hence, the weight gained by the lobster after second molting is 34lb

Weight gained by the lobster after third molting:

  334−224=154−104=15−104    [Write difference of numerators over the denominator]=54         [Subtract]=114lb         [Write the fraction as a mixed number]

Hence, the weight gained by the lobster after third molting is 114lb

Weight gained by the lobster after fourth molting:

  514−334=214−154=21−154    [Write difference of numerators over the denominator]=64         [Subtract]=32lb         [Simplify]

Hence, the weight gained by the lobster after fourth molting is 32lb

b.

To determine

To findthe total weight gained by the lobster after the four moltings.

b.

Expert Solution
Check Mark

Answer to Problem 52E

The total weight gained by the lobster after the four moltings is 4lb

Explanation of Solution

Given information:

The given statement is:

“A lobster periodically sheds its shell and grows a new shell. During this process, which is called molting, the weight of the lobster increases, as shown in the table:”

  ELEMENTARY+INTERMEDIATE ALGEBRA, Chapter 5.2, Problem 52E , additional homework tip 2

Calculation :

The total weight gained by the lobster after the four moltings can be calculated by:

  514−114=214−54=21−54    [Write difference of numerators over the denominator]=164         [Subtract]=4lb         [Simplify]

Hence, the total weight gained by the lobster after the four moltings is 4lb

c.

To determine

To find the weight of the lobster after one more molting.

c.

Expert Solution
Check Mark

Answer to Problem 52E

The weight of the lobster after molting one more time is 712lb

Explanation of Solution

Given information:

The given statement is:

“A lobster periodically sheds its shell and grows a new shell. During this process, which is called molting, the weight of the lobster increases, as shown in the table:”

  ELEMENTARY+INTERMEDIATE ALGEBRA, Chapter 5.2, Problem 52E , additional homework tip 3

The lobster gains 214 pounds after molting one more time.

Calculation :

The weight of the lobster after one more molting can be calculated by:

  514+214=214+94=21+94    [Write sum of numerators over the denominator]=304         [Subtract]=152lb         [Simplify]=712lb   [Write the fraction as a mixed number]

Hence, the weight of the lobster after molting one more time is 712lb

Previous
Chapter 5.2, Problem 51E
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Chapter 5.2, Problem 53E

Chapter 5 Solutions

ELEMENTARY+INTERMEDIATE ALGEBRA

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