Kate and kelvin played a shooting game. Kevin got 52 points which was 54 points less than 2 times that of kates points. How many points did Kate get?

53 points

Step-by-step explanation:

Let the number of points gotten by Kate be represented by x.

Since we are given the information that Kevin got 52 points which was 54 points less than 2 times that of kates points. This can be formed into an equation as:

(2 × x) - 54 = 52

2x - 54 = 52

2x = 52 + 54

2x = 106

x = 106/2

x = 53

Kate got 53 points

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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answer: (-6,3)

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