As shown in the diagram above. a lever resting on a fulcrum has weights of ~$w_1$~ pounds and  ~$w_2$~ pounds, located ~$d_1$~ feet and ~$d_2$~ feet from the fulcrum. The lever is balanced and ~$w_1d_1=w_2d_2$~ . Suppose ~$w_1$~ is 50 pounds and ~$w_2$~ is 30 pounds. If ~$d_1$~ is 4 feet less than ~$d_2$~ ,what is ~$d_2$~, in feet?

In a field day at a school, each child who competed in n events and scored a total of Ｐ points was given an overall score of~$\frac{p}{n}+n$~ . Andrew competed in 1 event and scored 9 points, Jason competed in 3 events and scored 5,6, and 7 points, respectively .What was the ratio of Andrew’s overall score to Jason’s overall score ？

In a field day at a school, each child who competed in n events and scored a total of p points was given an overall score of ~$\frac{p}{n}+n$~. Andrew competed in 1 event and scored 9 points, Jason competed in 3 events and scored 5,6, and 7 points, respectively. What was the ratio of Andrew’s overall score to Jason’s overall score ？

Which of the following fractions has the greatest value?

If a rectangular room measures 10 meters by6 meters by 4 meters, what is the volume of the room in cubic centimeters?  (1 meter = 100 centimeters)

In the figure shown, if the area of the shaded region is 3 times the area of the smaller circular region, then the circumference of the larger circle is how many times the circumference of the smaller circle?

The toll for crossing a certain bridge is $0.75 each crossing.  Drivers who frequently use the bridge may instead purchase a sticker each month for $13.00 and then pay only $0.30 each crossing during that month.  If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker?

The function f is defined by f(x) = ~$-\frac{1}{x}$~  for all nonzero numbers x.  If f(a) = ~$-\frac{1}{2}$~  and f(ab) = ~$\frac{1}{6}$~ , then b =

The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,200 respondents to a survey who cited that factor as important.  If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”

If x ≥ 0 and x = ~$\sqrt{8xy-16y^{2}}$~ , then, in terms of y, x =