The number of plums varies directly with the square of the number of apples. When there are 12 plums, there are 2 apples. How many apples are there when there are 75 plums?

Q: Q: The area of a room is 120 square meters. If the length is 2 meters more than the breadth, find…

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Q: In 2015, the value of the freight, in dollars, that came into Florida was 3.46 x 10(11).  The value…

A: Given, the value of the freight, in dollars, that came into Florida was 3.46 x 1011   The value of…

Q: Two integers differ by 4. If the sum of their squares is 170, determine the two integers.

A: The detailed solution is as follows below:

Q: One -Fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone…

A: Given : One-Fourth of a herd of camels was seen in the forest. Twice the square root of the herd had…

Q: One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son's…

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Q: One side of a rectangle is 5 more than the other. If you increase the smaller side by 10, and triple…

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Q: In a certain manufacturing process, the cost of producing a single item varies inversely as the…

A: Cost of producing a single varies inversely as the square of the number of items produced. 100 items…

Q: An airplane is flying at an altitude of 6 miles and passes directly over a radar station.   When the…

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Q: The cost of building a certain office building is proportional to the square of the number of…

A: To find the cost of 20 office building.

Q: The distance to stop a certain vehicle varies directly with the square of its speed. It takes 320…

A: If a is directly proportional to b then a∝b If a is inversely proportional to b then a∝1b To convert…

Q: Two numbers differ by 9. Four times the bigger exceeds the square of the smaller by 4. Find the…

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Q: The weight of a trout varies jointly as its length and the square of its girth.  One angler caught a…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.