William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budgeted $2,000 for their reception. If the reception hall charges a $50 cleanup fee plus $37 per person, find the greatest number of people that they may invite and still stay within their budget.
William and Debra can invite at most people to the reception.
(Round down to the nearest whole person.)

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

[15 points]find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible

Aramp rises 4 feet over a distance of 10 feet. what is the length of the ramp?