1. Derek adds water to a pool at a rate of 12 gallons per minute and then reduces the
rate to 8 gallons per minute. Derek adds water to the pool for a total of 2 hours. Lett
be the time in hours that he adds water to the pool at the faster rate. Write algebraic
expressions to represent how many minutes he adds water to the pool at each rate.

Hye ryung is the president of the local chapter of the american medical students association (amsa). she is organizing local outreach and informational meetings. at her first meeting there are five people present (including herself). every month after that her group grows by 5 people. a. how many members are in the group after 6 months? b. the logistics of hosting and feeding her group at meetings was more complicated than expected. the cost of feeding 5 people at her first meeting was $30, for 10 people it was $35, for 15 it was $45, and after 6 months all of the costs had added up to $100. write a function to model the cost with the number of people attending meetings. c. what connections can you make between the linear growth of the group’s membership and the increasing costs of running meetings?

If you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain.

If you have 12 feet of string and you cut it into equal length of 5 inches each how much string will be left