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In 1999, the ratio of the number of towels imported from China to the total number of towels imported from countries other than China was closest to which of the following?
For each value $$x$$ in a list of values with mean $$m$$, the absolute deviation of $$x$$ from the mean is defined as $$|x-m|$$.

A certain online course is offered once a month at a university. The number of people who register for the course each month is at least $$5$$ and at most $$30$$. For the past $$6$$ months, the mean number of people who registered for the course per month was $$20$$. For the numbers of people who registered for the course monthly for the past $$6$$ months, which of the following values could be the sum of the absolute deviations from the mean?

Indicate all such values.
How many positive two-digit integers have a remainder of 3 when divided by both 10 and 6?
In a certain election, $$\frac{3}{5}$$ of the voters in District K and $$\frac{1}{2}$$ of the voters in District P voted for the candidate Miguel Garcia. If 4 times as many people voted in District K as voted in District P, what percent of the voters in both districts combined voted for Miguel Garcia?
In a certain university, 60 percent of all sophomores are liberal arts majors, 24 percent are education majors, and the rest are majoring in other subjects or have not yet chosen a major. At the university, 55 percent of all sophomores are currently taking a psychology course. If $$x$$ percent of all sophomores are liberal arts majors who are currently taking a psychology course, what is the least possible value of $$x$$?
By draining 40 gallons of water from a tank, the amount of water in the tank was decreased from $$\frac{1}{5}$$ of the tank 's full capacity to $$\frac{2}{11}$$ of the tanks full capacity. Water was then added to the tank until the tank was full. How many gallons of water were added to the tank?
A tank initially contains $$g$$ gallons of water. Beginning at 1 o'clock in the afternoon, water flows into the top of the tank at a constant rate of $$x$$ gallons per minute and out of the bottom of the tank at a constant rate of $$y$$ gallons per minute. If $$ x \lt y$$, in how many minutes after 1 o'clock in the afternoon is the volume of water in the tank equal to $$\frac{1}{2}g$$, in terms of $$g$$, $$x$$, and $$y$$?
A certain charity is conducting a fund-raiser. For the first $9,000 raised by the charity, Company B will contribute $1 for every $3 collected by the charity. For any amount over $9,000 raised by the charity, Company B will contribute $2 for every $5 collected by the charity. How much money must the charity raise in order to reach a total of $68,000, including the contribution from Company B?
A saltwater solution contains $$25$$ percent salt by weight. To $$1$$ kilogram of this solution, $$x$$ grams of salt and $$4x$$ grams of water are added , where $$x \gt 0$$.

Quantity A

The percent of salt in the resulting solution

Quantity B

$$25%$$


$$x$$ is a positive integer.

$$g \gt 0$$

Quantity A

$$g^{x}$$+$$\frac{1}{g^{x}}$$

Quantity B

$$1$$


Which of the following could be a portion of the graph of $$y=(x+2)^{2}-5$$ in the xy-plane?
The function $$f$$ is defined for all numbers $$x$$ by $$f(x)=57x^{2}-kx+925$$, where $$k$$ is a constant, and $$f(x)=f(-x)$$ for all $$x$$.

Quantity A

$$k$$

Quantity B

$$0$$


If the degree measures of the three angles of a triangle are consecutive even integers, what is the measure of the smallest angle of the triangle?


Square DEFG is inscribed in isosceles right triangle ABC. If the area of triangular region ABC is r, what is the area of triangular region AFE?


Square ABCD and parallelogram AEFD lie in the same plane, and AB=AE.

Quantity A

The area of region ABCD

Quantity B

The area of region AEFD




The center of each of the five circles is point O. The radii of the five circles, from smallest to largest, are $$r$$, $$2r$$, $$3r$$, $$4r$$, and $$5r$$, respectively.

Quantity A

The area of the shaded region

Quantity B

The area of the striped region


If 250 employees in administration were transferred from Site II to Site I and no other changes in employment occurred, approximately what percent of the employees at Site I would work in administration?
The ratio of the number of production workers at Site I to the number of production workers at Site II is mostly equal to
At Site II, if the average (arithmetic mean) salaries in production, administration, and research are $$x$$, $$y$$, and $$z$$ dollars, respectively, what is the average salary, in dollars, of all employees at Site II?
Which of the following is closest to the average (arithmetic mean) number of passengers departing per day from Airport X last week?

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