The resistance of the flow of electricity through a wire depends on the length and thickness of the wire.

The resistance of the flow of electricity through a wire depends on the length and thickness of the wire. The resistance R is measured in ohms and varies directly as the length L and inversely as the square of the diameter d. If a wire 200 ft long with diameter of 0.16 inch has a resistance of 64 ohms, how much resistance will there be if only 50 ft. of wire is used?

According to Boyle’s law, the pressure P of a compressed gas is inversely proportional to the volume V.

According to Boyle’s law, the pressure p of a compressed gas is inversely proportional to the volume V. Suppose that there is a pressure of 25 kPa when the volume of the gas is 400 cu. cm. Find the pressure when the gas is compressed to 200 cu. cm.

A. 60 kPa C. 40 kPa
B. 50 kPa D. 30 kPa

According to Hooke’s law, the force F required to stretched a spring of x units is directly proportional to the length x.

According to Hooke’s law, the force P required to stretched a spring of x units is directly proportional to the stretched length x. If a force of 20 kN is needed to stretched a spring 3 mm, how far is the spring stretched by a force of 60 kN?

A. 9 mm C. 10 mm
B. 8 mm D. 12 mm

A bookstore has a stock of 30 paperback copies of Surveying as well as 50 hardcover copies of the same book.

A bookstore has a stock of 30 paperback copies of Surveying as well as 50 hardcover copies of the same book. They wish to increase their stock for the new semester. Based on past experiences they want their final numbers of paperback and hardcover copies to be in the ratio of 4 to 3. However, the publisher stipulates that they will only sell the store 2 copies of the paperback edition for each copy of the hardcover edition ordered. Under these conditions, how many paperback should the store order to achieve the ratio of 4 to 3?

A certain university gives 4 points per credit for a grade A, 3 points per credit for B, 2 points per credit for grade C, a point per credit for grade D, and zero for an F.

A certain university gives 4 points per credit for a grade A, 3 points per credit for B, 2 points per credit for grade C, a point per credit for grade D, and zero for an F. A student is taking 15 credits for the semester. The student expects A’s in a 4 credit course and in a 3 credit course. He also expects a B in another 3 credit course and a D in a 2 credit course. What grade must he get in the fifth course, a 3 credit course, in order to earn a 3.4 grade point average of the term?

The denominator of a certain fraction is 1 more than the numerator. If the numerator is increased by 2 and 1/2, the value will be equal to the reciprocal of the original fraction. Find the original fraction.

The denominator of a certain fraction is 1 more than the numerator. If the numerator is increased by 2 and 1/2, the value will be equal to the reciprocal of the original fraction. Find the original fraction.

A. 2/3 C. 1/2
B. 3/4 D. 3/8

One pipe can empty a tank in 3 hours. A second pipe takes 4 hours to complete the same job. How long will it take to empty the tank if both pipes are used?

One pipe can empty a tank in 3 hours. A second pipe takes 4 hours to complete the same job. How long will it take to empty the tank if both pipes are used?

A. 1 and 5/7 hours C. 2 and 1/4 hours
B. 1 and 3/4 hours D. 2 and 3/4 hours

A student received grades of 72, 75, and 78 on three tests. What must her score in the next test be for her to have an average grade of 80 for all four tests?

A student received grades of 72, 75, and 78 on three tests. What must her score in the next test be for her to have an average grade of 80 for all four tests?

A. 95 C. 88
B. 90 D. 98