The floor of a cargo truck is 22 1/2 square feet. What is the volume of the storage space in cubic feet if the truck is 7 1/5 feet high? Show, label, and explain your work.

162 ft^3

Step-by-step explanation:

volume = area of base * height

V = 22 1/2 ft^2 * 7 1/5 ft

Change the mixed numerals into fractions.

V = 45/2 ft^2 * 36/5 ft

Multiply the fractions.

V = 45/2 * 36/5 ft^3

Switch the denominators.

V = 45/5 * 36/2 ft^3

Simplify each fraction.

V = 9 * 18 ft^3

V = 162 ft^3

6 meters

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204