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: 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: If the area of the rectangle below is 42 inches squared, find the value of x. x-3 x+8

A: Area of the rectangle is given by : Area A = length x width

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: The volume of a cylinder varies directly as the height and the square of the radius. A cylinder with…

A: Calculation: The volume of cylinder varies directly with height. V∝h here, V is volume of cylinder…

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

A:

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: 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: The dillerence belween uhe squares of two numbers is 16. Four times the square or the eased by the…

A:

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.