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Quantity A

The number of ordered triples ($$x_1$$, $$x_2$$, $$x_3$$), where $$x_1$$, $$x_2$$ and $$x_3$$ are non-negative integers such that $$x_1$$+$$x_2$$+$$x_3$$=9

Quantity B

55


Baron's book implores scientists to present their work in ways that are accessible to the general public in order to save the world at large from scientific illiteracy, ______________ that is echoed in other recent publications.
What is the value of $$\frac{51!-50!}{50!-49!}$$?

Give your answer as a fraction.
What is the length of an edge of the smallest solid cube that can be made by placing together solid rectangular blocks of size 7 by 6 by 3?

Quantity A

x

Quantity B

112


The average (arithmetic mean) of the values of the homes in Town A is $100,000. The average of the values of the homes in Town B is $150,000. The number of homes in Town A is between 2 times and 3 times the number of homes in Town B. Which of the following values could be the average of the values of the homes in Town A and Town B combined?

Indicate all such values.
How many x-intercepts, and y-intercepts does the graph of the equation 4$$x^{2}$$-9$$y^{2}$$=1 have?
The numbers of employees in three regional offices of a company are n, p, and q, respectively. Each employee from each office mailed a card to each employee in the other two offices. Which of the following represents the total number of cards mailed by the employees?
The purchase price of each used book at a certain mail-order bookstore is $$\frac{2}{15}$$ of the original list price of the book. For each used-book order of more than 5 books, the total purchase price of the order is reduced by $2.50 for each book in excess of 5 books. If the total purchase price of an order of 10 books is $23.10, what was the total of the original list prices of the 10 books?
It cost a certain business a total of S4,050.00 to make and sell 4.500 widgets. If the business sold each of the 4,500 widgets for S2.40, what was the business's profit per widget? (Profit is equal to the selling price minus the cost.)
For how many of the months after March did both the median price of new homes sold and the number of new homes sold increase from the previous month?
The number of new homes sold in December was approximately what percent greater than the number sold in March?
Of the following, which is closest to the average (arithmetic mean) monthly change in the median price of new homes sold from March to December?
For two statistics classes, class A and class B, there are more students in class A than in class B. The heights of the students in both classes were measured.

Which of the following statements individually provide(s) sufficient additional information to conclude that the average(arithmetic mean)height of the students in class A is greater than the average height of the students in class B?

Indicate all such statements.
Genetic diversity is the raw material of evolution including the domestication of plants, yet the domestication process typically ____________ diversity because the first domesticates are derived from a very small sample of the individual plants.
In private talks with the provincial leaders that lasted past a midnight meal of pizza, the prime minister was (i)____________ -- a contrast with her predecessor's often (ii)____________ handling of them.
When Kim Dae Jung was decisively elected South Korea's president in December 1997, he was considered something of ____________ but nevertheless the right man for the time and the job.
Which of the following, if true, most strengthens the argument?
P is a polygon with n sides. The sum of the measures of the interior angles of P is r degrees. The average (arithmetic mean) of the measures of the interior angles of P is x degrees.

Quantity A

$$\frac{r}{x}$$

Quantity B

n-2




n is a prime number and |n-50| < 4.

Quantity A

n

Quantity B

52




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