What is the volume of the following rectangular prism?

Explanation:

Convert the mixed number 3 & 2/3 to an improper fraction

3 & 2/3 = 3 + 2/3

3 & 2/3 = 9/3 + 2/3

3 & 2/3 = (9+2)/3

3 & 2/3 = 11/3

The prism has a base area of 9 square units and a height of 11/3 units.

Multiply the base area by the height to get the volume

volume = (base area)*(height)

volume = (9)*(11/3)

volume = 99/3

volume = 33 cubic units

You could choose to not convert to an improper fraction, and your steps may look like this

volume = (base area)*(height)

volume = (9)*(3 + 2/3)

volume = 9*3 + 9*(2/3) distribute

volume = 27 + 18/3

volume = 27 + 6

volume = 33 cubic units

Either way we get the same volume.

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step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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