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三． 其他
138. 14162-!-item-!-187;#058&009822
A certain theater has a total of 884 seats, of which 500 are orchestra seats and the rest are balcony seats. When tickets for all the seats in the theater are sold, the total revenue from ticket sales is $34,600. What was the theater's total revenue from ticket sales for last night's performance?
(1) The price of an orchestra seat ticket is twice the price of a balcony seat ticket.
(2) For last night's performance, tickets for all the balcony seats were sold, but only 80 percent of the tickets for the orchestra seats were sold.
182. 17963-!-item-!-187;#058&011379
In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's annual salaries.[l25] If Mary's annual salary was the highest of the 3 people, what was the average (arithmetic mean) annual salary of the 3 people that year?
(1) Jim's annual salary was $30,000 that year.
(2) Kate's annual salary was $40,000 that year.
29. 3873-!-item-!-187;#058&003594
If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/100, then the reciprocal of n must be[l26]
(A) less than -10
(B) between -1 and
(C) between and 0
(D) between 0 and
(E) greater than 10
38. 5275-!-item-!-187;#058&004179
A certain business produced x rakes each month from November through February and shipped 0.5x rakes at the beginning of each month from March through October.[l27] The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.10 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months from November through October?
(A) 0.40x
(B) 1.20x
(C) 1.40x
(D) 1.60x
(E) 3.20x
54. 6364-!-item-!-187;#058&004806
P, Q, and R are located in a flat region of a certain state. Q is x miles due [l28] east of P and y miles due north of R. Each pair of points is connected by a straight road. What is the number of hours needed to drive from Q to R and then from R to P at a constant rate of z miles per hour, in terms of x, y, and z ? (Assume x, y, and z are positive.)
170. 18339-!-item-!-187;#058&011871(定义类)
For any triangle T in the xy-coordinate plane, the center of T is defined to be the point whose x-coordinate is the average (arithmetic mean) of the x-coordinates of the vertices of T and whose y-coordinate is the average of the y-coordinates of the vertices of T.[l29] If a certain triangle has vertices at the points (0,0) and (6,0) and center at the point (3,2), what are the coordinates of the remaining vertex?
(A) (3,4)
(B) (3,6)
(C) (4,9)
(D) (6,4)
(E) (9,6)
181. 19721-!-item-!-187;#058&012675
The distributor of cases of a certain beverage charges $60 per case for orders of 1 to 5 cases, $50 per case for orders of 6 to 20 cases, and $45 per case for orders of more than 20 cases. [l30] If the distributor filled three orders, one for 3 cases of the beverage, one for 11 cases of the beverage, and one for 30 cases of the beverage, what was the total amount the distributor charged for the orders?
(A) $1,960
(B) $2,000
(C) $2,040
(D) $2,080
(E) $2,120 |
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