Exam 4: Formulas and Problem Solving

If the volume of a right circular cone is $15 \pi$ cubic inches and the radius of the base is 3 inches long, find the height of the cone. __________ inches

If Deb s present age is expressed as $w - 7$ , then her age 7 years ago is w .

Perimeter of a rectangle. Solve the formula for w . P = 2 l + 2 w

Two trains leave at the same time, one traveling east and the other traveling west. At the end of 2 hours they are 136 miles apart. If the rate of the train traveling east is 8 miles per hour faster than the rate of the other train, find their rates.

The perimeter of an equilateral triangle is 3 centimeters more than the perimeter of a square and the length of a side of the triangle is 4 centimeters more than the length of a side of the square. Find the length of a side of the equilateral triangle. (An equilateral triangle has three sides of the same length.)

Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 9.12 centimeters longer than the perimeter of the square, find the length of a radius of the circle. (Use 3.14 as an approximation for $\pi$ .) __________ centimeters

Solve the equation. $\frac { n + 6 } { n } = \frac { 3 } { 2 }$

Solve the equation. 0.2(10) $-$ x = 0.5(25 $-$ x )

A board 55 feet long is cut into two pieces whose lengths are in the ratio of 2 to 9. Find the lengths of the two pieces.

Solve the equation. $668 ( 0.4 t ) = 2,672$

The width of a rectangle is 20 inches less than $\frac { 1 } { 5 }$ of its length. If the perimeter of the rectangle 212 inches, find the area of the rectangle. __________ square inches

Volume of a prism. Solve the formula for h . V = Bh

Find the length of an altitude of a trapezoid with bases of 7 inches and 21 inches and an area of 168 square inches.

The distance between city A and city B is 372 miles. A freight train leaves city A and travels toward city B at 44 miles per hour. At the same time, a passenger train leaves city B and travels toward city A at 80 miles per hour. How long will it take the two trains to meet? __________ hours

On a certain map, 1 inch represents 15 miles. If two cities are 5 inches apart on the map, find the number of miles between the cities.

Solve the equation. s = 9.8 + 0.8 s

Tom bought an electric drill at a 5% discount sale for $28.50. What was the original price of the electric drill? $__________

A saltwater solution is made by dissolving 5 pounds of salt in 14 gallons of water. At this rate, how many pounds of salt are needed for 28 gallons of water.

Solve the equation. $\frac { x - 4 } { 16 } - 7 = \frac { 1 } { 8 }$

Solve i = Prt for P if i = 38.4, r = 0.96, t = 2. P = __________