A recipe for 3 cups of snack mix calls for 1··2 cup of pretzels. You can describe this as 3 cups of snack mix for every 1··2 cup of pretzels and as 1··2 cup of pretzels for every 3 cups of snack mix. Why?

Average acceleration: i have no idea how to do this.

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.

What is the solution to the equation e3x=12? round your answer to the nearest hundredth