An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21600 tons. The cars weigh 3.6 tons each and the trucks weigh 7.2 tons each.

For one shipment, trucks are loaded first and cars are loaded afterward. (Even though trucks are bulkier than cars, a shipment can consist of all trucks as long as it is within the weight limit.)

Find the number of cars that can be shipped if the cargo already has 480 trucks.

5,040 cars

Step-by-step explanation:

Each truck weighs 7.2 tons, and there are already 480 trucks loaded. This means that the cargo ship is currently carrying 3,456 tons.:

480 x 7.2 = 3,456

The limit is 21,600 tons, so 21,600 - 3,456 = 18,144.

Divide the remaining capacity by how much a car weighs:

18,144 / 3.6 = 5,040

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step-by-step explanation:

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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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