Sasha, julia, and vika go shopping. sasha spends $8 less than twice the amount that vika spent. julia spends $12 more than vika spent. the three shoppers spent $204 in all. how much did each girl spend?
sasha: $50; julia: $50; vika: $50
sasha: $92; julia: $62; vika: $50
sasha: $62; julia: $62; vika: $50
sasha: $62; julia: $50; vika: $92

Module 10 coordinate proof using slope and distance answers is quadrilateral abcd a parallelogram? explain how you know.

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.

Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.