Members of the Wide Waters Club pay $105 per summer season, plus $9.50 each time they rent a boat. Nonmembers must pay $14.75 each time they rent a boat. How many times would a member and a non-member have to rent a boat in order to pay the same amount?

Margo can purchase tile at a store for $0.79 per tile and rent a tile saw for $24. At another store she can borrow the tile saw for free if she buys tiles there for $1.19 per tile. How many tiles must she buy for the cost to be the same at both stores?

The charges for two shuttle services are shown in the table. Find the number of miles for which the cost of both shuttles is the same.

Multistep

Rapid Rental Car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental and gas and $0.35 per mile.

a. For how many miles is the rental cost at both companies the same?

b. What is that cost?

Write an equation with the solution \(\text{x} = 20\). The equation should have the variable on both sides, a fractional coefficient on the left side, and a fraction anywhere on the right side.

Write an equation with the solution \(\text{x} = 25\). The equation should have the variable on both sides, a decimal coefficient on the left side, and a decimal anywhere on the right side. One of the decimals should be written in tenths, the other in hundredths.

Geometry

The perimeters of the rectangles shown are equal. What is the perimeter of each rectangle?

Analyze Relationships

The formula \(\text{F} = 1.8\text{C} + 32\) gives the temperature in degrees Fahrenheit (F) for a given temperature in degrees Celsius (C). There is one temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius. Write an equation you can solve to find that temperature and then use it to find the temperature