Arianna and her friend alexa are going to a carnival that has games and rides. Arianna played 6 games and went on 2 rides and spent a total of $21. 50. Alexa played 10 games and went on 7 rides and spent a total of $53. 25. Write a system of equations that could be used to determine the cost of each game and the cost of each ride. Define the variables that you use to write the system.

Two technicians are discussing how to test a car's exhaust by holding a small piece of paper within an inch of the tailpipe mouth. technician a says that if the paper is vibrating due to a "puffing" output from the tailpipe, this signals a smoothly running engine. technician b says that if the paper is being drawn toward the tailpipe, this could indicate burned exhaust valves. who is correct? a. technician b b. both technicians a and b c. technician a d. neither technicians a or b

The equation 24x2+25x−47ax−2=−8x−3−53ax−2 is true for all values of x≠2a, where a is a constant.what is the value of a? a) -16b) -3c) 3d) 16

Earth takes in thermal energy from the sun in a process called . sunlight strikes earth’s surface at different angles. this angle is called the angle of . btw its