Dorinda worked 2 part- time jobs and earned $234.50 for working a total of 30 hours at both jobs. She is paid $7.50 per hour at Job A and $8.00 per hour at Job B. How many hours did Dorinda work at Job A?

Dorinda worked at Job A for 11 hours

Step-by-step explanation:

Step one

This is a word that leads to simultaneous.

Let us begin by modeling the system of equation from the problem

Let x and y be the number of hours worked in both jobs A and B respectively

Step two

x+y=301

7.5x+8y=234.502

Solving the equations simultaneously we have

1. Multiplying equation 1 by 8 and equation 2 by 1 and subtracting from equation 2 to find y

8x+8y=2401

- 7.5x+8y=234.502

=0.5x=5.5

x=5.5/0.5

x= 11hrs

Substituting x=11 in equation 1 we can find y

11+y=30

y= 30-11

y= 19hrs

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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: