~$(1 +\sqrt{5})(1-\sqrt{5})$~=
In the figure above, the sum of the three numbers in the horizontal row equals the product of the three numbers in the vertical column. What is the value of xy ?
The number of rooms at Hotel G is 10 less than twice the number of rooms at Hotel H. If the total number of rooms at Hotel G and Hotel H is 425, what is the number of rooms at Hotel G ?
At the opening of a trading day at a certain stock exchange, the price per share of stock K was $8.If the price per share of stock K was $9 at the closing of the day, what was the percent increase in the price per share of stock K for that day?
Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?
In the rectangular coordinate system shown above, points O, P, and Q represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
A rope 20.6 meters long is cut into two pieces. If the length of one piece of rope is 2.8 meters shorter than the length of the other, what is the length, in meters, of the longer piece of rope?
In which of the following pairs are the two numbers reciprocals of each other?
I. 3 and ~$\frac{1}{3}$~
II.~$\frac{1}{17}$~ and -~$\frac{1}{17}$~
III.~$\sqrt{3}$~and~$\frac{\sqrt{3}}{3}$~
In the figure above, if F is a point on the line that bisects angle ACD and the measure of angle DCF is x°, which of the following is true of x ?