Probability You are randomly choosing cards, one at a time and with replacement, from a standard deck of cards. Find the probability that you choose an ace, then a red card, and then a face card. (Remember that face cards are jacks, queens, and kings.)

George is folding a piece of paper to make an origami figure. each time he folds the paper, the thickness of the paper is doubled. the paper starts out flat, with a thickness of 1 millimeter. a. write a list of six ordered pairs showing the output as the thickness of the paper when the input is the number of times it is folded. explain how you came up with your ordered pairs. b. is this relation a function? explain why or why not using the ordered pairs you came up with in part a.

The triangles are similar. what is the value of x? show your work.

The distributive property allows you to say that 3(x − 1) = 3x −