Prime factorization of 90

In a cohort of thirty graduating students, there are three different prizes to be awarded. if no student can receive more than one prize, in how many different ways could the prizes be awarded?

Choose the most appropriate name for the function described below. The temperature of the coffee depends on the number of minutes it sits on the desk.

Leah drives 45 miles per hour for 2 hours, then 32 miles per hour for 75 minutes. what is the average speed for the whole trip?

Write an equation of the line that passes through (-5,3) and is parallel to the line y=-x+3

Solve for x. 3x - 1 = 20

A newspaper reporter wants to know how popular the hobby of bird watching is in the city. He asked people at the local bird refuge if they watched birds as a hobby. Which of the following best explains whether the reporters data is valid or not?

I am very confused on how to figure out if y = 3/4x is proportional?

Alison wants to buy a mountain bike for $339.12. If she saves $28.26 each month, in how many months will she be able to buy the bike?

At 12 o'clock the temperature was 7°C. The temperature decreased by - 20°C. What is the new temperature?

Ashleys rentals charges $27.50 per hour to rent a surfboard and a wetsuit. Darlas surf shop charges $23.25 per hour to rent a surfboard plus $17 extra for a wetsuit.