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In a survey, 100 people were asked how many meals they ate at restaurants in the previous year. The table above shows a frequency distribution of their response. Which of the following values could be the median of the numbers of meals eaten at restaurants for the 100 people surveyed?

Indicate all such values.
The line with equation $$y=3x-2$$ will be translated $$4$$ units to the right and $$5$$ units up in the xy-plane. Which of the following is the equation of the resulting line?
Machines A and B each assembled 3,000 metal clips in 15 hours and 12 hours, respectively, working alone at their constant rates. On Monday, working simultaneously at their respective constant rates, the two machines assembled a total of n clips in x hours. The next day, machine A was modified so that its constant rate decreased by 25 percent. If the two machines worked simultaneously at their respective constant rates for x hours after the modification of machine A, then the total number of clips that they assembled in x hours was approximately what percent less than it was the day before?


In the figure, line AP and PC are tangent to the circle at points A and C, respectively. Point O is the center of the circle, and the length of the line segment PO is 4. If the measure of angle APC is 60 degrees, what is the length of arc ABC?
If 20 percent of the amount budgeted for vacation had instead been added to the amount budgeted for entertainment, which of the following is closest to the percent by which the amount budgeted for entertainment would have increased?
The three children in the Alden family contributed 30 percent of the amount budgeted for savings. The oldest child contributed $150 more than the youngest child, and the middle child contributed $60 more than the youngest child. What was the median of the amounts that the children contributed to savings ?
In each of the years after year X, the Alden family budgeted $200 more for savings than it budgeted for savings the previous year. What is the total amount that the Alden family budgeted for savings over the 10 years beginning with year X?
If a, b, and c are positive integers such that $$\frac{a}{c}$$=0.075 and $$\frac{b}{c}$$=0.09, what is the least possible value of c?
Line k lies in the xy-plane. The x-intercept and the y-intercept of line k are a and b, respectively, where a≠0 and b≠0.

Which of the following statements individually provide(s) sufficient additional information to conclude that the slope of line k is positive?

Indicate all such statements.

If a rectangular room has length 20 meters, width 10 meters, and height 4 meters, then the volume of the room is how many cubic centimeters?
n=9.99999

The number k is the value of n rounded to the nearest tenth, and the number m is the value of n rounded to the nearest thousandth.

Quantity A

k

Quantity B

m




p is the least prime number such that |p-28| < 4.

Quantity A

p

Quantity B

26




$$x^{2}$$ ≠ 1

Quantity A

$$\frac{1}{x-1}-\frac{1}{x+1}$$

Quantity B

$$\frac{2}{x^{2}-1}$$




Quantity A

The length of side AB

Quantity B

$$\sqrt{5}$$




Last week a painter started a job on Tuesday, completing 44 percent of the job that day, and on Wednesday completed 25 percent of the job that remained.

Quantity A

The percent of the job that was not completed by the end of the day last Wednesday

Quantity B

42%




How many different three-digit integers, each of whose digits must be either 1 or 2 or 3, are greater than 300?
A catalog company had a special sale that offered a discount of $25 off each $75 in merchandise ordered. A shipping charge of 10 percent was calculated before the discount was taken, and sales tax of 5 percent was calculated after the discount was taken. If Jason ordered $300 in merchandise and no tax was calculated on shipping charges, what was the total charge for Jason's order?


The average (arithmetic mean) value of x in the frequency distribution above is 0. If a value of x is to be selected at random from the distribution, which of the following events is most likely?
It costs $$d$$ dollars to buy $$n$$ nails. At this rate, what is the cost of $$n+1,850$$ nails, in dollars?

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