Of the 500 business people surveyed, 78 percent said that they use their laptop computers at home, 65 percent said that they use them in hotels, and 52 percent said that they use them both at home and in hotels.  How many of the business people surveyed said that they do not use their laptop computers either at home or in hotels?

On the number line, the shaded interval is the graph of which of the following inequalities?

At a certain school, theratio of the number of second graders to the number of fourth graders is 8 to5, and the ratio of the number of first graders to the number of second gradersis 3 to 4.  If the ratio of the number ofthird graders to the number of fourth graders is 3 to 2, what is the ratio ofthe number of first graders to the number of third graders?

Three of the four vertices of a rectangle in the xy-coordinate plane are (-3, 10), (2, 10), and (2, 1).  What is the fourth vertex?

~$2+2\times 3+3\times 4=$~

Four staff members at acertain company worked on a project.  Theamounts of time that the four staff members worked on the project were in theratio 2 to 3 to 5 to 6.  If one of thefour staff members worked on the project for 30 hours, which of the followingCANNOT be the total number of hours that the four staff members worked on theproject?

Each of the 30 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and average (arithmetic mean) weight of the boxes in the shipment is 18 pounds.  If the average weight of the boxes in the shipment is to be reduced to 14 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be removed?

If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of p?

Of all the students in a certain dormitory,  ~$\frac{1}{2}$~ are first-year students and the rest are second-year students.  If  ~$\frac{4}{5}$~  of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 3 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are second-year students who have not declared a major?

When n liters of fuel was added to a tank that was already ~$\frac{1}{3}$~  full, the tank was filled to  ~$\frac{7}{9}$~ of its capacity.  In terms of n, what is the capacity of the tank, in liters?