Last month Ann, Bob, Carl, Dave, and Ellen volunteered at a hospital. The number of hours that Carl volunteered was equal to the average (arithmetic mean) number of hours volunteered by the 5 people. If the number of hours that Carl volunteered was also equal to the total number of hours that Ann and Bob volunteered, then the total number of hours that Dave and Ellen volunteered was how many times the number of hours that Carl volunteered?
At a certain corporation, the planning committee has 23 members and the finance committee has 20 members. If a total of 21 people are members of only one of the two committees, how many are members of both committees?
Consider all positive integers a, 6, and c such that 135 is a factor of each of the expressions 15a, 254, and 30c. What is the greatest common factor of all possible sums. a+b+c?
In the xy-plane shown, the length of the hypotenuse of right triangle ABC is 39. If the slope of the hypotenuse is 12/5, what is the length of side BC?
An employee of Store Z purchased an item at Store Z. The item was on sale at -ยป% off its list price and the employee also received an employee discount of i-*%. If no taxes were Involved, what net percent discount did the employee receive off the list price of the Item?
(1) The employee paid $181.25 less for the item than its list price.
(2) The employee discount was applied before the sale discount was applied.
What is the area of triangle ADC shown in the figure?
(1) The ratio of the length of line segment AD to the length of line segment DB is 1 to 3.
(2) The area of triangle ABC is 8.
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