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In 2003, approximately what was the ratio of the number of acres of millet grown organically to the number of acres of rice grown organically?
From 2005 to 2006, the number of acres of corn grown organically increased by half as much as it did from 2004 to 2005. From 2006 to 2007, the number of acres of corn grown organically increased by half as much as it did from 2005 to 2006. Which of the following is closest to the number of acres of corn grown organically in 2007?
If the number of acres of barley grown was the same in 2004 as it was in 2005, approximately what percent of the number of acres of barley grown in 2004 was grown organically?
The average (arithmetic mean) of the 100 numbers in list S is 5.0. The average of the 20 numbers in list T is m. If the numbers in both lists are combined into one list, the average of the 120 numbers in the combined list is m-3. What is the value of m?



In the xy-plane, line segment PR intersects the x-axis at point Q and is parallel to the y-axis. If the legnth of PQ is twice the length of QR, what are the corrdinates of point R, in terms of a and b?
If 1 ≤ x ≤ 4 and -3 ≤ y ≤ 2, what is the least possible value of $$x^{-2} +y^{-2}$$?
In a marketing survey of 600 consumers about two brands of coffee, A and B, the consumers responded that they had tried either Brand A only, Brand B only, both brands, or neither brand. In the survey, 130 consumers responded that they had tried neither brand.

Which of the following statements individually provide(s) sufficient additional information to determine the number of consumers who, based on their response, had not tried Brand A?

Indicate all such statements.
The average (arithmetic mean) of 3 integers, x, y, and z, equals the average of 12, 14, 21, and 45.

Quantity A

x+y+z

Quantity B

69




Quantity A

$$5(2^{x})$$

Quantity B

$$4(3^{x})$$






Quantity A

4

Quantity B

k




The dollar value of a certain carving in 1983 was 20 percent greater than its dollar value in 1978. The dollar value of the carving in 1988 was 70 percent greater than its dollar value in 1978.

Quantity A

The percent increase in the dollar value of the carving from 1983 to 1988

Quantity B

50%




x and y are integers, and 2x+3y=5

Quantity A

x+y

Quantity B

0




n > 1

Quantity A

The product of ($$\sqrt{n+1}-\sqrt{n-1}$$) and ($$\sqrt{n+1}+\sqrt{n-1}$$)

Quantity B

2






List R contains 30 values, and the average (arithmetic mean) of the values in R is m. List S contains 20 values, and the average of the values in S is m+40. List T consists of the vaues in R followed by the values in S.

Quantity A

The average of the values in T

Quantity B

m+16






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?

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