Mrs. howard is hosting a catered dinner party to celebrate her daughter's graduation. the catering company she plans to use charges $13.50 per plate of food and an additional fee of $540 to cover linens and tableware. the total bill for the catering services is $1,512. which equation can be used to determine the total number of guests, g, who attend the dinner party?

13.50g + 540 = 1,512

10cm

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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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