To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained. 130 students ate breakfast.
175 students ate lunch.
279 students ate dinner.
63 students ate breakfast and lunch.
114 students ate breakfast and dinner.
89 students ate lunch and dinner.
51 students ate all three meals.
How many students ate
(a) At least one meal in the cafeteria?
students

(b) Exactly one meal in the cafeteria?
students

(c) Only dinner in the cafeteria?
students

(d) Exactly two meals in the cafeteria?
students

Solve each quadratic equation by factoring and using the zero product property. 10x + 6 = -2x^2 -2

Pyramid shown has a square base that is 18 inches on each side has a surface area of 164 square inches what is the slant height

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?