A university is trying to determine what price to charge for tickets to football games. at a price of $20 per ticket, attendance averages 40,000 people per game. every decrease of $5 adds 10,000 people to the average number. Every person at the game spends an average of $5.00 on concessions. what price per ticket should be charged in order to maximize revenue? How many people will attend at that price?

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

The triangles in the diagram are congruent. if mzf = 40°, mza = 80°, and mzg = 60°, what is mzb?

Twelve less than a number is at most 20