# Algebra

1. Solve using the five-step problem solving process. Show all steps necessary to arrive at your solution. Express the answer in scientific notation to three decimal places.

If the distance from the earth to the sun were 92,900,000 miles, how long would it take a rocket, traveling at 2.8×10^3 miles per hour, to reach the sun? (Round to three decimal places)

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

A semicircular window of radius 14 inches is to be laminated with a sun block coating that costs $0.70 per square inch to apply. What is the total cost of coating the window, to the nearest cent?

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

A square light-switch plate is made which measures 6 inches on each side. A square hole measuring 1 inch on each side is left in the center. If the cost to construct the plate is $3.50 per square inch, what is the construction cost?

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#### Solution Preview

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1. Solve using the five-step problem solving process. Show all steps necessary to arrive at your solution. Express the answer in scientific notation to three decimal places.

If the distance from the earth to the sun were 92,900,000 miles, how long would it take a rocket, travelling at 2.8 × 103 miles per hour, to reach the sun? (Round to three decimal places).

Solution:

Distance = 92,900,000 miles

Speed of rocket = 2.8 × 103 miles per hour

Time taken by the rocket = Distance/Speed = 92,900,000 miles/2.8 × 103 miles per hour

= ...

#### Solution Summary

This solution is comprised of detailed explanation and step-by-step calculation of the given algebra problems and provides a clear perspective of the underlying concepts.