Choc-Arcade has Lily's two favorite things: a chocolate shop and an arcade! Not only that, but Choc-Arcade's loyalty program rewards Lily with free game tokens every time she buys chocolates. There is a proportional relationship between the number of chocolates Lily buys, x, and the number of free game tokens she gets, y. x (chocolates) y (tokens) 2 6 3 9 4 12 6 18 What is the constant of proportionality? Write your answer as a whole number or decimal.

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size.it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

There are three bags: a (contains 2 white and 4 red balls), b (8 white, 4 red) and c (1 white 3 red). you select one ball at random from each bag, observe that exactly two are white, but forget which ball came from which bag. what is the probability that you selected a white ball from bag a?

Tom can paint the fence in 12 hours, but if he works together with a friend they can finish the job in 8 hours. how long would it take for his friend to paint this fence alone?