Which of the following mustbe equal to ~$x^{6}x^{4}$~ ?

Committee X has 4 members,committee Y has 5 members, and these committees have no members in common. If a task force is to be formed consisting ofone member of X and one member of Y, how many different task forces arepossible?

At a repair shop, the totalcost of a repair consists of the charge for parts and a charge of $22.00 perhour for labor. If the total cost of acertain repair at the shop was $249.75 and the charge for parts was $150.75,then the labor charge was for how many hours of labor?

The perimeter of a certain isosceles right triangle is ~$16+16\sqrt{2}$~. What is the length of the hypotenuse of the triangle?

To furnish a room in amodel home, an interior decorator is to select 2 chairs and 2 tables from acollection of chairs and tables in a warehouse that are all different from eachother. If there are 5 chairs in thewarehouse and if 150 different combinations are possible, how many tables arein the warehouse?

If a, b, c, and d areconsecutive even integers and a < b < c < d, then a + b is how muchless than c + d ?

If ~$2^{x}-2^{x-2}=3\left ( 2^{13} \right )$~, what is the value of x ?

If n is a positive integerand the product of all the integers from 1 to n, inclusive, is a multiple of990, what is the least possible value of n ?

A boat traveled upstream adistance of 90 miles at an average speed of (v - 3) miles per hour and thentraveled the same distance downstream at an average speed of (v + 3) miles perhour. If the trip upstream took half anhour longer than the trip downstream, how many hours did it take the boat totravel downstream?

Company C has a machine that, working alone at its constant rate, processes 100 units of a certain product in 5 hours. If Company C plans to buy a new machine that will process this product at a constant rate and if the two machines, working together at their respective constant rates, are to process 100 units of this product in 2 hours, what should be the constant rate ,in units per hour, of the new machine?