A man in a tower spots three hot air balloons flying at the same altitude. Balloon A is 5 miles east and 8 miles south of the
tower. Balloon B is 7 miles west and 10 miles
north of the tower. If Balloon C is located
four-ninths the distance from Balloon A to
Balloon B, find the location of Balloon C
relative to the tower.

The length and width of a rectangle are consecutive even integers the area of the rectangle is 120 squares units what are the length and width of the rectangle

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

Asales representative from a local radio station is trying to convince the owner of a small fitness club to advertise on her station. the representative says that if the owner begins advertising on the station today, the club's total number of members will grow exponentially each month. she uses the given expression to model the number of club members, in hundreds, after advertising for t months.