# Mathematics

1. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.

The supplement of an angle measures 40° more than twice its complement. Find the measure of the angle.

2. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.

You are traveling to your aunt's house that is 234 miles away. If you are currently twice as far from home as you are from your aunt's, how far have you traveled?

3. Use an inequality and the five-step process to solve the problem. Show all steps necessary to arrive at your solution.

A shopkeeper is making a triangular sign for his store front, but he must keep the sign under 20 square feet to adhere to zoning laws. If the base of the sign is 20 feet, what is the maximum height of the triangular sign?

4. Use an inequality and the five-step process to solve the problem. Show all steps necessary to arrive at your solution.

A bag of marbles has three times as many blue marbles as red marbles, and the bag has at least 52 marbles in it. At least how many blue marbles are in the bag?

5. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. Round your answer to 2 decimal places.

A cylindrical drum has a diameter of 4 yards and a volume of 63 cubic yards. What is the height of the drum?

#### Solution Summary

This solution is comprised of detailed step-by-step calculations and analysis of the given problems and provides students with a clear perspective of the underlying concepts.