Fred bought a box of wooden popsicle sticks so that he could make a jewelry box for his mom. He used 58 popsicle sticks to make the jewelry box. Fred has 34 popsicle sticks left. Let p represent how many popsicle sticks were in the box to start. Which equation models the problem?

Step-by-step explanation:

Given

Initial number of popsicle sticks in the box to start = p

Amount used = 58 popsicle sticks

Amount left = 34 popsicle sticks

The equation that models the problem is expressed as;

Initial popsicle sticks in the box = Amount used + amount left

Substitute the given values;

p = 58 + 34

p - 34 = 58

hence the required model is p - 34 = 58

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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