An architect makes a model of a new house. The model shows a tile patio in the backyard. In the? model, each tile has length one third in and width one sixth in. The actual tiles have length one forth ft and width one eighth ft. What is the ratio of the length of a tile in the model to the length of an actual? tile? What is the ratio of the area of a tile in the model to the area of an actual? tile? Use pencil and paper. Describe two ways to find each ratio.

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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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