How many ways can 1st place, 2nd place, and 3rd place be chosen if there are 50 contestants in the beauty pageant?

Percent increase and decrease. original number: 45 new number: 18

Sophia wrote an equation to represent the revenue of a movie theater for one day. she let x represent the number of child tickets sold and y represents the nunver of adult tickets sold. if a child ticket cost $4, an adult ticket cost $6, and the total revenue for the daybwas $420, which equation could sophia use to represent the number of chikd and adult tickets that were sold?

What is the area of the shaded sector?