Applications of Equations Answers

The average of two real numbers is 41.375 and thier product is 1668. What are the numbers?

Two cars leave a gas station at the same time, one traveling north and the other south. The northbound car travels at 50 mph. After 3 hours the cars are 345 miles apart. How fast is the southbound car traveling?

A box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting squares of equal size from each corner and folding up the flaps. If one of the dimensions has to be greater than 18 inches, what size square should be cut from each corner?

Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route. Her average speed is 6 mph faster than the Wolf’s average speed. How fast does Red Riding Hood drive?

You have already invested $550 in a stock with an annual return of 11%. How much more should be invested at 15% so that the return on the total investment is 12%?

A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure antifreeze so that the new mixture is 40% antifreeze?

A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze?

A 13 foot ladder leans on a wall. The bottom of the ladder is 5 feet from the wall. If the bottom is pulled out 3 feet farther from the wall, how far does the top of the ladder move down the wall? (Hint: the ladder, wall and the ground form a right triangle.)

Janet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose solution. How many liters of the 15% solution is Januet using in the mixture?

The lateral surface area S of a right circular cone is given by . What radius should be used to produce a cone of height 5 inches and lateral surface area 100 square inches?