A storage room measures 400 inches in length, 200 inches in width and 200 inches in height. It needs to be modified, by extending its length, to hold at least 2000 special boxes. The box measures 20 inches in height, 20 inches in width and 40 inches in length. To meet this goal, what is the minimal length that needs to be added? Need at least inches more in length for the storage room.

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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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18.75 gallons

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