Ken and Joe leave their apartment to go to a football game 45 miles away. Ken drives his car 30 mph faster than Joe can ride his bike. If it takes Joe 2 hours longer than Ken to get to the game, what is Joe’s speed?

Step-by-step explanation:

GIVEN: Ken and Joe leave their apartment to go to a football game away. Ken drives his car faster than Joe can ride his bike.

TO FIND: If it takes Joe longer than Ken to get to the game, what is Joe’s speed.

SOLUTION:

Let the speed of joe be

Speed of Ken

Total distance to go to football game

As

Total  time taken by Joe is longer than Ken.

hence speed of joe is

true !

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: