An animal shelter spends $2.35 per day for each cat and $5.50 per day to care for each dog. pat noticed that the shelter spent $89.50 caring for cats and dogs on wednesday. (a) write an equation to represent the possible numbers of cats and dogs that could have been at the shelter on wednesday. (b) pat said that there might have been 8 cats and 14 dogs at the shelter on wednesday. are pats numbers possible? use your equation to verify your answer

Samantha swam upstream for some distance in one hour. she then swam downstream the same river for the same distance in only 12 minutes. if the river flows at 4 mph, how fast can samantha swim in still water?

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 the measure of angle 1 is 110 degrees and the measure of angle 3 is (2 x+10 degree), what is the value of x?