Art is a self-employed installer of home entertainment systems, and he drives his car frequently to installation locations. Art drove his car 9,800 miles for business purposes and 23,500 miles in total. His actual expenses, including depreciation, for operating the auto are $15,500 since he had to have the car repaired several times. Art has always used the actual cost method in the past. How much is Art's deductible auto expense for the year?

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.

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

The art class is planning to paint a mural on an outside wall. this figure is a scale drawing of the wall. width: 11 in length: 28 in unit rate: 1.5 ft per in. write the ratio of the area of the drawing to the area of the actual mural. write your answer as a unit rate. show that this unit rate is equal to the square of the unit rate 1.5 ft per in