A school stadium contains 2,000 seats. For a certain game, student tickets cost $3 each and nonstudent tickets cost $6 each. What is the least number of nonstudent tickets that must be sold so that the total ticket sales will be at least $8,400 ?
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If r, s, and t are consecutive positive integers and r< s< t, which of the following statements must be true?
Indicate all such statements.
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26, 29, 32, 33, 36, 37, 41, 42, 48, 50
The 10 numbers in list M (not shown) are determined by multiplying each of the 10 numbers in the list above by 5 and then subtracting 20 from each product. How many times greater is the range of the numbers in list M than the range of the numbers in the list above?
_____times greater
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In which of the following years was the number of foreign-born residents greatest?
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From 1960 to 1980, the total population increased by approximately what percent?
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The ratio of the number of foreign-born residents in 1900 to the number of foreign-born residents in 1980 is closest to which of the following?
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The sides of a triangle have lengths 7.5, 11, and x. If x is an integer, what is the least possible value of x ?
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When the integer n is divided by 24, the remainder is 21. Which of the following must be a divisor of n ?
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What is the value of the smallest positive integer n for which $$6^n$$ is a multiple of 24 ?
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If $$5^{x^{2}-2x}=\frac{1}{5}$$, what is the value of x ?
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The price x of an item is increased 20 percent.
Quantity A:80 percent of the price of the item after the increase
Quantity B:x
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AB and CD are line segments with endpoints on the circle with center O, and z>y.
Quantity A: $$\frac{1}{2}$$ the length of AB
Quantity B:$$\frac{1}{2}$$ the length of CD
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n is a positive integer and 0< s< 10.
Quantity A:$$\frac{1}{n}+\frac{1}{n+s}+\frac{1}{n+10}$$
Quantity B:$$\frac{3}{n+10}$$
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In a list consisting of 10 numbers, 5 numbers are greater than 20 and 5 numbers are less than 20.
Quantity A:
The median of the numbers in the list
Quantity B:20
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The figure consists of two rectangles whose longer sides are all parallel to each other, and x=3.
whose longer sides are all parallel to each other, and .
Quantity A:The area of the shaded region
Quantity B:The area of the smaller rectangle
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x< 0< y
Quantity A:$$\frac{|x|}{|y|}$$
Quantity B:$$-\frac{x}{y}$$
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Points R, S, and T are on the number line, and the distance between R and S is greater than the distance between S and T.
Quantity A:RT
Quantity B:RS
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Jake, Mary, and Ito took a test in their history class. Jake`s score of 68 was the lowest score in the class. Ito`s score of 85 was 5 less than Mary`s score. Mary had the highest score in the class. What was the range of all of the scores in the class?
_____
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The driver of a car traveling at a speed of 40 miles per hour had to stop the car quickly. If the driver`s reaction time was $$\frac{3}{4}$$ of a second, approximately how many feet did the car travel during the driver`s reaction time?
(1 mile = 5,280 feet)
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