A company needs to put a layer of rust resistant coating on a package of nuts. A package of nuts contains 100 nuts. Each nut is made up of a regular hexagon outside and a circle inside. The nut is 0.1 in high, while the side length of the hexagon is 0.16 inches and the diameter of the circle is 0.18 inches. If it costs $0.50 per square inch of material that needs to be covered, how much does it cost to cover the entire package? Please show all work! Thank You!

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

Hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to his brother. alex ended up with 16 video games. how many video games did alex have when he started?

From the beginning of the day the temperature rose 15 degrees so that by 4 pm it was 87 degrees. what was the temperature at the start of the day