1. a cube-shaped aquarium has edges that are 4 ft. long. the aquarium is filled with water that has a density of
51 lb/ft*3
(a) should the aquarium be placed on a table that can support a maximum weight of 200 lb? explain why or why not.
(b) would the density of the water change if the aquarium was only half full? explain.

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?

What numbers are included in the set of integers? what numbers are not included?

Which diagram shows lines that must be parallel lines cut by transversal?