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2 years ago

JOe goes to the gym to run and swim. When running he burns 35

Mathematics

1 answer:

OverLord2011 [107]2 years ago

8 0

Answer:the length of time he spent running is 8 minutes.

the length of time he spent swimming is 15 minutes.

Step-by-step explanation:

Let x represent the length of time he spent running.

Let y represent the length of time he spent swimming.

He exercised for a total of 23 minutes. This means that

x + y = 23

When running he burns 35 calories per minute, and when he swims he burns 30 calories per minute. He has burned 730 calories after exercising. It means that

35x + 30y = 730 - - - - - - - - - -1

Substituting x = 23 - y into equation 1, it becomes

35(23 - y) + 30y = 730

805 - 35y + 30y = 730

- 35y + 30y = 730 - 805

- 5y = - 75

y = - 75/ -5

y = 15

Substituting y = 15 into x = 23 - y, it becomes

x = 23 - 15 = 8

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A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concretar are needed for the

Mars2501 [29]

This question is incomplete

Complete Question

Consider greenhouse A with floor dimensions w = 16 feet , l = 18 feet.

A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?

Answer:

96 cubic feet

Step-by-step explanation:

The volume of the floor of the green house = Length × Width × Height

We convert the dimensions in feet to inches

1 foot = 12 inches

For width

1 foot = 12 inches

16 feet = x

Cross Multiply

x = 16 × 12 inches

x = 192 inches

For length

1 foot = 12 inches

18 feet = x

Cross Multiply

x = 18 × 12 inches

x = 216 inches

The height or depth = 4 inches deep

Hence,

Volume = 192 inches × 216 inches × 4 inches

= 165888 cubic inches

From cubic inches to cubic feet

1 cubic inches = 0.000578704 cubic foot

165888 cubic inches = x

Cross Multiply

x = 16588 × 0.000578704 cubic foot

x = 96 cubic feet

Therefore, 96 cubic feet of concrete is needed for the floor

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