For billy’s birthday party his mother has baked 80 cookies. 40 cookies contain vanilla and 45 contains nuts, and 15 contain both. one of billy’s friends, jim, is allergic to both nuts and vanilla, but he loves cookies! what is the largest number of cookies that jim can eat on billy’s birthday? (note that it is fine for jim to smell nuts and vanilla as long as he is not eating anything that contains them.)

Select all the correct answers.natalie buys a new car. in the first month, the odometer on the car records 800 miles. from past experience, she expects to drive 900 miles per monthselect all the functions that can be used to find the number of miles, f(n), recorded on the odometer after n months.of(n) = 800n + 100f(n) = 9001 - 100f(n) = 900n + 800(1) = 800; }(n) = f(n - 1) + 900, for n > 2f(1) = 800; 1(n) = f(n − 1) + 100, for n > 2(1) = 900; }(n) = f(n - 1) + 800, for n > 2

The curved part of the figure is the semicircle what is the best approximation for the area of this figure

Your friend, taylor, missed class today and needs some identifying solutions to systems. explain to taylor how to find the solution(s) of any system using its graph.