Find the rotation in revolutions per minute given the angular speed and the radius given the linear speed and the rate of rotation.

1. ω=2.7 rad/s
2. ω= rad/h
3. ω= rad/min
4. V=2.8 m/s, 120 rev/min
5. V=118 ft/min, 3.6 rev/s
6. V=256 in/h, 0.5 rev/min

Create a real-life situation and create a system and show how it might be modeled algebraically with a system of equations (or inequalities) show all work include a few sentences explaining the situation, your variables of choice and what each represents, and how you would set it up and solve it algebraically. !

Ricardo ran the 400 meter race 3 times his fastest time was 54.3 seconds his slowest time was 56.1 seconds if his average time was 55.0 seconds what was his time for the third race

Ahome improvement store rents it’s delivery truck for $19 for the first 75 minutes and $4.75 for each additional 1/4 hour. if a customer rented the truck at 11: 10 am and returned the truck at 1: 40 pm the same day, what would his rental cost be?