Pre-Algebra

1st Edition

ISBN: 9780618800766

Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold

Publisher: Houghton Mifflin-High School

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Question

Chapter 2.3, Problem 37E

To determine

To Find: In terms of x , areas of the tomato and cucumber portions.

Expert Solution

Answer to Problem 37E

Area of tomato portion is 500 square ft and

Area of cucumber portion is 500(800−x) square ft.

Explanation of Solution

Given Information:

The tomato and cucumber portions have dimensions as shown in figure,

Pre-Algebra, Chapter 2.3, Problem 37E

Formula:

Area = Length × Breadth

Calculation:

The length of tomato is 500 ft

And its breath is x ft.

So, the area of the tomato is 500x ft.

The length of the cucumber is 500 ft.

And its breath is =(800−x) ft.

So, the area of the cucumber is =500(800−x) square ft.

To determine

To Make and Simplify: An expression in terms of x and , for the annual cost of growing both crops.

Expert Solution

Answer to Problem 37E

The simplified expression is $(85x+40000)

Explanation of Solution

Given Information:

Annual cost of growing tomatoes and cucumber is $⋅27 and $⋅10

Calculation:

As found in part (a), the areas of tomatoes and cucumber portions are 500x square feet and 500(800−x) square feet respectively.

So, the annual cost of growing both crops is

$(0⋅27)(500x)+$(0⋅10)(500(800−x))=$135x+$50(800−x)=$135x+$(40000−50x)=$(135x+40000−50x)=$(85x+40000)

To determine

To Find: The annual cost of growing both crops, if the width x of the tomato portion is 350 ft.

Expert Solution

Answer to Problem 37E

The annual cost is $69750

Explanation of Solution

Given Information:

Width of tomato portion x=350 ft

Calculation:

As found in part (b),

The annual cost is given by $(85x+40000)

Thus for x=350 ft

The annual cost =$(85×350+40000)

=$(29750+40000)=$69750

Chapter 2.3, Problem 36E

Chapter 2.3, Problem 38E

Chapter 2 Solutions

Pre-Algebra

Ch. 2.1 - Prob. 1PSQ Ch. 2.1 - Prob. 2PSQ Ch. 2.1 - Prob. 3PSQ Ch. 2.1 - Prob. 4PSQ Ch. 2.1 - Prob. 5PSQ Ch. 2.1 - Prob. 6PSQ Ch. 2.1 - Prob. 7PSQ Ch. 2.1 - Prob. 8PSQ Ch. 2.1 - Prob. 9PSQ Ch. 2.1 - Prob. 10PSQ

Ch. 2.1 - Prob. 11PSQ Ch. 2.1 - Prob. 1C Ch. 2.1 - Prob. 2C Ch. 2.1 - Prob. 3C Ch. 2.1 - Prob. 4C Ch. 2.1 - Prob. 5C Ch. 2.1 - Prob. 6C Ch. 2.1 - Prob. 7C Ch. 2.1 - Prob. 8C Ch. 2.1 - Prob. 9C Ch. 2.1 - Prob. 10C Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - 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