At the culinary arts awards banquet, students get to choose 4 mini desserts from the dessert table. Their choices include cheesecakes, caramel apple bites, cookie cups, cupcakes, brownies, smores, and tarts. The student can only choose one of each dessert type. How many different dessert plates can be made by a student who selects 4 desserts from the dessert table?

36

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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step-by-step explanation:

answer:

the product of -35 and -625 is positive.