91Ó°ÊÓ

Solve the formula $4x+7y=9$for$y$.

Carmen wants to tile the floor of his house. He will need $1000$square feet of tile. He will do most of the floor with a tile that costs role="math" localid="1645200172118" $\backslash (1.50$per square foot, but also wants to use an accent tile that costs $\backslash )9.00$per square foot. How many square feet of each tile should he plan to use if he wants the overall cost to be $\$3$per square foot?

Riley is planning to plant a lawn in his yard. He will need nine pounds of grass seed. He wants to mix Bermuda seed that costs $\backslash (4.80$per pound with Fescue seed that costs $\backslash )3.50$per pound. How much of each seed should he buy so that the overall cost will be $\$4.02$per pound?

The measure of one angle of a right triangle is 30 more than the measure of the smallest angle. Find the measures

of all three angles.

The perimeter of a rectangular swimming pool is 200 feet. The length is 40 feet more than the width. Find the length and width.

John puts the base of a 13-foot ladder five feet from the wall of his house as shown in the figure. How far up the

wall does the ladder reach?

During her shift at the museum ticket booth, Leah sold 115 tickets for a total of \(1163. Adult tickets cost \)12 and student tickets cost $5. How many adult tickets and how many student tickets did Leah sell?

Lorena walks the path around the park in$30$minutes. If she jogs, it takes her$20$minutes. Her jogging speed is$1.5$miles per hour faster than her walking speed. Find Lorena’s walking speed and jogging speed.

An Express train and a local train leave Pittsburgh to travel to Washington, D.C. the express train can make the trip in four hours and local train takes five hours for the trip. The speed of the express train is 12 miles per hour faster than the speed of the local train, Find the speed of both trains.

Lizette is training for a marathon. At 7:00 she left her house and ran until 8:15 then she walked until 11:15. She covered a total distance of 19 miles. Her running speed was five miles per hour faster than her walking speed. Find her running and walking speeds.