the volume of a rectangular prism is 84 cubic inches. the length of the prism is 7 inches. the width of the prism is 4 inches. what is the height of the prism?

We have a rectangular prism with dimensions, say,

Length = L, Width = W and Height = H.

It is given that, 'the length of the tank should be 7 feet less than height'

i.e. we get, L <  H - 7.

Also, 'the width of the tank should be 8 feet less than height'.

This gives, W < H - 8.

Since, the minimum volume of the rectangular tank should be 840 cubic feet i.e. Volume ≥ 840.

As , Volume of rectangular prism = L × W × H

Thus, we get,

i.e.

i.e.

i.e.

i.e.

i.e.

So, the graph corresponding to the inequality is given below.

From the graph we see that, the minimum possible height for the tank is 15 feet.

We have a rectangular prism with dimensions, say,

Length = L, Width = W and Height = H.

It is given that, 'the length of the tank should be 7 feet less than height'

i.e. we get, L <  H - 7.

Also, 'the width of the tank should be 8 feet less than height'.

This gives, W < H - 8.

Since, the minimum volume of the rectangular tank should be 840 cubic feet i.e. Volume ≥ 840.

As , Volume of rectangular prism = L × W × H

Thus, we get,

i.e.

i.e.

i.e.

i.e.

i.e.

So, the graph corresponding to the inequality is given below.

From the graph we see that, the minimum possible height for the tank is 15 feet.

14 ft

Step-by-step explanation:

14 ft

Step-by-step explanation:

The answer is in the image 

The answer is in the image 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

The solution is in the following image

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

The answer is in the image