Shawn and ellie are construction workers. shawn can complete a concrete job in 4 hours, while ellie can complete it in 6 hours. the foreman says that it will take them 5 hours to complete it if they work together. explain each step in solving this equation, and determine if the foreman is correct or not.

Given f(x) = 10x + 4 and g(x) = 3x - 8, what is f(x) + g(x) ? - 7x - 4 - 13x + 4 - 7x + 4 - 13x - 4

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Amira is painting a rectangular banner 2 1/4 yards wide. the banner will have a blue background. amira has enough paint to cover 1 1/2 square yards of the wall. the school colors are blue and yellow, so amira wants to add yellow rectangles on the left and right sides of the blue rectangle. the yellow rectangles will each be 3/4 yards wide and the same height as the blue rectangle. what will be the total area of the two yellow rectangles?