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Several hundred companies were asked to indicate what benefits they planned to offer during the next year to help retain workers. The results are summarized in the table above. If 30.0 percent of the companies polled indicated that they planned to offer both wage increases and professional development, what percent of the companies indicated that they planned to offer neither of these two benefits?

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Given 14 consecutive integers, if the sum of the first 7 integers is S, what is the sum of the other 7 integers, in terms of S?


The frequency distribution above shows the number of colleges visited by a sample of students. If the median of the numbers of colleges visited is 3, which of the following could be the value of x?

Indicate all such values.
The function R is defined by R(x)=$$x+\frac{1}{x}$$ for all positive numbers x.

Quantity A

R(3)+R($$\frac{1}{3}$$)

Quantity B

2R(3)






△ABC is inscribed in a circle with center O and radius r.



Quantity A

The perimeter of △ABC

Quantity B

6r


Each of eight consecutive positive integers is divided by 8, and the resulting remainders are recorded.

Quantity A

The average (arithmetic mean) of the 8 remainders recorded

Quantity B

3.5


Of all the children living in Country M in 1989, 24 percent had access to a computer at home and 18 percent used a computer at home. What percent of children who had access to a computer at home did not use a computer at home?
A certain company made neither a profit nor a loss on the first 1,000 widgets it sold and made a profit of $0.50 on each widget it sold after the first 1,000. If the company's total profit from the sale of widgets was p dollars, what is the number of widgets it sold, in terms of p?
The average (arithmetic mean) of the weights of a father and mother is twice the average of the weights of their 4 children. If the average weight of the 6 family members is 128 pounds, what is the average weight, in pounds, of the 4 children?
A bus traveled m miles in h hours at an average speed of r miles per hour. If the number of hours traveled by the bus had been 20 percent greater and the average speed had been 20 percent less, then the distance traveled by the bus would have been what percent less?

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If the area of trapezoid ABCD above is 90, what is the length of side CD?


In the rectangular coordinate plane, how many points (x, y), where both x and y are integers, lie on the circle with center at (0, 0) and radius 5?
For how many of the 10 selected years was the number of United States residents in the age-group "65 years and older" greater than 14 million?
Of the 10 selected years, which had the greatest total number of United States residents in the combined age groups of "5 years and younger" and "65 years and older"?
Of the following which best describes how the number of United States residents that were in the age-group"5 years and younger"changed from 1900 to 1940?
In a sequence of 700 integers, each term after the first two terms is the sum of the two preceding terms.

Which of the following could be the number of odd integers in the sequence?

Indicate all such numbers.

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