There are 1,200 refrigerators numbered 1 to 1,200. Suppose you open all of the refrigerators and then close every other refrigerator. Then, for every third refrigerator, you close each opened refrigerator and open each closed refrigerator. You follow the same pattern for every fourth refrigerator, every fifth refrigerator, and so on up to every twelve hundredth refrigerator. Which refrigerators will be open when the process is complete? Describe the mathematics that is underlying this math problem in your answer.

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?

If you are dealt 4 cards from a shuffled deck of 52? cards, find the probability that all 4 cards are diamondsdiamonds.

Find the equation of a line that is perpendicular to line g that contains (p, q). coordinate plane with line g that passes through the points negative 3 comma 6 and 0 comma 5 3x − y = 3p − q 3x + y = q − 3p x − y = p − q x + y = q − p