Sam wants to paint his living room and he needs to buy some materials. cans of paint cost $10 each and paint brushes each cost $2 each. if sam plans to spend exactly $50 on painting materials, which of the following equations represents the number of cans of paint (c) and the number of paint brushes (b) that he can purchase? a. $10c + $2b = $50 b. $10b + $2c = $50 c. $12(c + b) = $50 d. $2(5c × b) = $50

Arestaurant charges $100 to rent its banquet room for an event. it also charges $15 to serve dinner to each guest. write an equation for the total cost of the banquet room in terms of the number of guests. deine your variables. what is the total cost of the banquet room for 20 guests?

Meghan has created a diagram of her city with her house, school, store, and gym identified. a. how far is it from the gym to the store? b. meghan also wants to walk to get some exercise, rather than going to the gym. she decides to walk along arc ab. how far will she walk? round to 3 decimal places.

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.