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Which of the points on the number line above, , , , , or , has the second least absolute value?
If , which of the following statements must decrease as decreases?
I.
II.
III.
If is an integer, then what is the least possible value of ?
If is negative, is positive?
(1)
(2)
How many integers that have a value less than satisfy the inequality ?
An orchard worker packed bags of apples. Each bag has the same number of apples. The number of bags packed is more than the number of apples in each bag. How many apples are in each bag?
(1) A total of apples were packed.
(2) After apple is removed from the last bag packed, there are a total of apples in the last bags.
A city offers ice skating and skiing as part of its winter sports program. If each of the people in the program participates in at least one of these sports, how many participate in skiing only?
(1) of the people participate in ice skating.
(2) of the people participate in skiing.
A town has a public relations committee and an events committee. If each of the members is on at least one of these committees, how many are on the events committee only?
(1) of the members are on the public relations committee.
(2) of the members are on both committees.
On a certain day, a cafeteria served soup and salad for lunch. If each of the people eating in the cafeteria had at least one of these two foods, how many had only soup?
(1) of the people had both soup and salad.
(2) of the people had salad.
Is equal to the median of the three positive integers , , and ?
Lines and lie in the -plane. Is the slope of line greater than the slope of line ?
(1) The -intercept of line is negative and the -intercept of line is positive.
(2) Lines and intersect at the point .
(1) Lines and intersect at the point .
(2) The -intercept of line is less than the -intercept of line .
An art exhibit has 30 landscape paintings, 25 watercolor paintings, and 20 portrait paintings. If 2 different paintings are selected at random to be displayed in a catalog, what is the probability that both paintings will be watercolors?
A college class consists of 24 computer science majors, 16 marketing majors, and 20 finance majors. If 2 different students are to be selected at random from this class, what is the probability that both students will be marketing majors?
A collection of DVDs includes comedies, dramas, and action movies. If DVDs are to be selected at random and without replacement, what is the probability that both DVDs will be action movies?
Trail mix R contains 10% nuts, trail mix S contains 20% nuts, and trail mix T contains 18% nuts. If grams of trail mix R, grams of trail mix S, and grams of trail mix T are combined to give grams of trail mix that contain 15% nuts, what is in terms of and ?
Mixture contains 25% alcohol, Mixture contains 10% alcohol, and Mixture contains 15% alcohol. If liters of Mixture , liters of Mixture , and liters of Mixture are mixed to give liters of mixture that contain 20% alcohol, what is in terms of and ?
Fruit Punch P contains 40% juice, Fruit Punch Q contains 30% juice, and Fruit Punch R contains 55% juice. If gallons of Punch P, gallons of Punch Q, and gallons of Punch R are mixed to give gallons of fruit punch that contain 45% juice, what is in terms of and ?
Is between and on the number line?
(1) is to the right of on the number line.
(2) is to the left of on the number line.