A 240 in pipe is cut into two pieces. One piece is three times as long as the other. Find the length of the longer piece.

The length of the longer piece is 180.

Step-by-step explanation:

If one piece is 3 times the other piece than their are 4 pieces. So, divide 240 by 4 to get 60. Since it is 3 times you multiply the 60 by 3 to get 180. Thus, the small piece is 60 and the large piece is 180. 180 is 3 times as long as 60 and 60 + 180 = 240.

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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