Plastic cups comes in an 10-pack, but paper plates come in a 12 pack. what is the smallest number of plastic cups and paper plates you can purchase if you want to have the same number of each for an upcoming bbq?

In triangles abc and wxy, a=w and b=x which of the following must be true to prove abc=wxy by the aas theorem? a. ab=bc b. bc=xy c. ab=wx d.

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.