Pre-Algebra
Pre-Algebra
1st Edition
ISBN: 9780618800766
Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold
Publisher: Houghton Mifflin-High School
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Unitary Method
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Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
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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:”

  Pre-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:”

  Pre-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:”

  Pre-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

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

Chapter 5 Solutions

Pre-Algebra

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