Five days a week, you carpool with 3 co-workers and take turns driving each week. it is 14 miles from your home to your office. when you drive the carpool you must go an extra 4 miles to pick up your co-workers. if your car averages 18 miles per gallon, about how many gallons of gas should you save every 4 weeks by carpooling?

You will save 21.11 gallons of gas every 4 weeks by carpooling.

Step-by-step explanation:

It is 14 miles from your home to your office. Means 28 miles total while returning.

And if there is no carpool, you will drive = miles

And amount of gas used will be = gallons

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Now, when you are car pooling, you will save the cost for three weeks means you will take out your car for 1 week only.

But you have to go additional 8 miles (including dropping off the co worker)

So, the total journey for 1 day will be of miles

Hence, for 1 week, you will drive : miles.

Gallons of gas used = gallons

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So, gallons of gas saved = gallons

Hence, you will save 21.11 gallons of gas every 4 weeks by carpooling.

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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