A rectangular room has length L and width W. Its volume is 2,455 cubic feet. Express the height of the ceiling algebraically in terms of x.

The main meeting room of the Glen Oaks Community Center measures 46 feet by 34 feet and has a 12-foot ceiling. It is well insulated and faces the east side of his house. The manager wants to purchase an air conditioner. How large an air conditioner should he purchase? Round up to the next thousand BTUs.

An irregular plane figure drawn on graph paper is framed inside of a 15 by 40 rectangle. To find its area, 10,000 random points are generated, and 5,710 of them land inside the irregular region. What is the area of the irregular region, to the nearest integer?

The length of a room is $19 \frac{1}{2}$ feet. When using $\frac{1}{4}$ inch = 1 foot scale, what would be the length of the wall on a floor plan?

Kim is building a large gazebo for her backyard. It is in the shape of a regular hexagon. Each side of the gazebo is 12 feet long. The apothem is 10.4 feet. She needs to purchase stones for the floor. It costs $9.50 per square foot for a special type of interlocking stone. Find the cost of the gazebo's floor. Round to the nearest ten dollars.

Kim is building a large gazebo for her backyard. It is in the shape of a regular hexagon. Each side of the gazebo is 12 feet long. The apothem is 10.4 feet. She needs to purchase stones for the floor. It costs $9.50 per square foot for a special type of interlocking stone. Find the cost of the gazebo's floor. Round to the nearest ten dollars.

A man drives his car to work 80% of the time; otherwise he rides his bicycle. When he rides his bicycle to work he is late 25% of the time, whereas when he drives his car to work he is late 15% of the time. On a particular day, the man arrives on time. Find the probability that he rode his bicycle to work on that day.

Ruth is setting up the locations of the corners of a 10' by 24' rectangular deck she is going to build in her backyard. To make sure she has a perfect rectangle, she checks to make sure the diagonals are the same. a. What should the length of each diagonal be? b. What angle does the diagonal make with the longer side of the deck? Round to the nearest degree. c. What angle does the diagonal make with the shorter side of the deck? Round to the nearest degree.

The Golf King Driving Range is installing a huge net to catch long golf drives. The poles to hold the net up are 50 feet high. The contractor needs to run a wire from the top of the pole to the ground to keep the poles and the net secure. This wire is called a guy wire. a. If the guy wire runs from the top of the pole to a point on the ground 22 feet from the base of the pole, how long must the guy wire be? Round up to the next highest foot. b. What is the slope of the guy wire, expressed as a fraction?

Jake is installing a staircase so his children can have access to a tree house he built. The rise of the stairs is 7 inches and the run of each stair Is 10 Inches. What is the slope of the staircase, expressed as a fraction?

Jorge is installing a staircase so he can have access to his attic. The rise of the stairs is 8 inches and the run of each stair is 11 inches. What is the slope of the staircase, expressed as a fraction?

iVan charges an hourly rate for a moving team to load and unload a truck. The charge is a different hourly rate for a team to pack and unpack boxes. Use the quotes to determine the iVan hourly rates.

$$\begin{matrix} \text{Weekday Move} & \text{Weekend Move}\\ \text{8 hours of loading/unloading} & \text{5 hours of loading/unloading}\\ \text{6 hours of packing/unpacking} & \text{3 hours of packing/unpacking}\\ \text{\$890 total cost} & \text{\$515 total cost}\\ \end{matrix}$$

NuHome Movers charges $95 per hour for loading/unloading services and$80 per hour for packing/unpacking services. Their charge is $2.50 per mile for truck rental. Jay is moving a distance of 200 miles and needs 9 hours of loading/unloading and 7 hours of packing/ unpacking. What will his moving cost be if the service also charges 7.25% tax on the total?

Conan is moving into a two-bedroom apartment in Valley Oaks. The monthly rent is $2,000. His up-front fees are shown. How much can he expect to pay up front for this apartment? Application fee: 3% of one month's rent, Credit application fee:$20, Security deposit: 1 month's rent and last month's rent, Broker's fee: 14% of year's rent.