maths

1. Let W and L represent the width and length of a rectangle, respectively, and let P represent the perimeter. The perimeter of a rectangle is given by the formula P=2L+2W

a) First, solve the formula for the width, W.

b) Given that the perimeter of the rectangle is 102 feet and the length is 32 feet, use the formula you got in part a) to find the width of the rectangle.

2. Carmen runs a business out of her home making bird houses. Each month she has fixed costs of $175. In addition, for each bird house she makes, she incurs an additional cost of $11.50. If her total costs for the month were $520, how many bird houses did she make?

Show your work for each of the following steps:

Step 1. Set up a variable dictionary.

Step 2. Set up an equation.

Step 3. Solve the equation.

Step 4. Answer the question with a sentence.

Step 5. Look back.

3. Nine more than two times a certain number is 137. Find the number.