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PREP07 Test 2 Working alone at its own constant rate, a machine seals k cartons in 8 hours, and working alone at its own constant rate, a second machine seals k cartons in 4 hours. If the two machines, each working at its own constant rate and for the same period of time, together sealed a certain number of cartons, what percent of the cartons were sealed by the machine working at the faster rate?
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In a water tank, 3 4 of the volume is occupied by water and the remainder of the volume is occupied by air. If a contaminant occupies 1 3 of the water, by volume, and 20 percent of the air, what percent of the volume of the water tank is contaminated?
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Antonia made tomato sauce and put it in small and large jars. Each small jar holds 3 cups of sauce. Each large jar holds 4 cups of sauce. She made a total of 15 jars of sauce. How many large jars of sauce did Antonia make?

(1) Antonia made more small jars of sauce than large jars.

(2) Antonia put a total of 51 cups of sauce into jars.
300难题 Patricia purchased x meters of fencing. She originally intended to use all of the fencing to enclose a square region, but later decided to use all of the fencing to enclose a rectangular region with length y meters greater than its width. In square meters, what is the positive difference between the area of the square region and the area of the rectangular region? 1. xy=256 2. y=4
Ready4 If the numbers \tfrac{7}{9}, \tfrac{2}{3}, \tfrac{5}{6}, \tfrac{5}{12}, and \tfrac{3}{<font color='#FE8080'>4</font>} were ordered from least to greatest, the second largest number of the resulting sequence would be
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In the coordinate system above, if AB<BC, is the area of region ABC greater than 12?

  1. The coordinates of point B are (4,-3).
  2. The coordinates of point C are (0,-7.5)
A certain retailer gets a shipment of items the day after his inventory drops below $$\frac{y}{4}$$ items. Each shipment replenishes the retailer's inventory up to the level y, and it is estimated that the retailer, on average, maintains $$\frac{y}{2}$$ in inventory every month throughout the year. The cost of keeping an item in inventory is $0.5 per month. What is the retailer's annual inventory cost.
PREP07 Test 2 A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at a constant rate of 20 miles per hour. The cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate. How many minutes must the cyclist wait until the hiker catches up?
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Each year for 4 years, an insect species increased its population within a region by a number of individuals equal to half of the population of the preceding year. If there were 16,200 insects of the species in the region at the end of the four-year period, how many insects of the species were in the region at the beginning of the four-year period?
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For which type of investment, A or B, is the annual rate of return greater?

 

  1. Type A returns $120 per $1,000 invested for any one-year period and type B returns $96 per $2,400 invested for any one-year period.
  2. The annual rate of return for an investment of type B is 4 percent.

 
190113 A driver originally drove at a constant speed of 17 miles/h. Then, he increased the speed and continued to drive at a constant speed. How much more time can he save if he drove 255 miles at the increased speed than at original speed? (1)It took 2.5h to drive 255 miles at the increased speed. (2)He drove for 4 hours at the original speed.
OG19 OG20 OG2022 Each of the 256 solid-colored marbles in a box is either blue, green, or purple What is the ratio of the number of blue marbles to the number of purple marbles in the box? (1)The number of green marbles in the box is 4 times the number of blue marbles in the box. (2)There are 192 green marbles in the box.
OG20 OG2022 In any sequence of n nonzero numbers, a pair of consecutive terms with opposite signs represents a sign change. For example, the sequence –2, 3, –4, 5 has three sign changes. Does the sequence of nonzero numbers $$s_1$$, $$s_2$$, $$s_3$$, - , $$s_n$$ have an even number of sign changes? 1.$$s_k= (-1)^{k}$$ for all positive integers k from 1 to n. 2.n is odd.
OG19-数学分册 In the xy-plane shown, the shaded region consists of all points that lie above the graph of $$y = x^{2} - 4x$$ and below the x-axis. Does the point (a,b) (not shown) lie in the shaded region if b < 0 ? (1) 0<$$a$$<4 (2) $$a^{2}- 4a < b$$
181215 Alex went to UK, Netherland and Australia on business last month. His roaming phone charges in UK, Netherland and Australia were $0.1/minute, $0.2/minute, and $0.3/minute, respectively. What's the unit price of his roaming phone charges last month? 1: The ratio of his roaming call in UK, Netherland, Australia was 2:3:4. 2: He spent 27000 minutes on roaming calling last month.
PREP07 Test 1 A bookstore that sells used books sells each of its paperback books for a certain price and each of its hardcover books for a certain price. If Joe, Maria, and Paul bought books in this store, how much did Maria pay for 1 paperback book and 1 hardcover book?(1) Joe bought 2 paperback books and 3 hardcover books for $12.50.(2) Paul bought 4 paperback books and 6 hardcover books for $25.00.
OG12 OG15 OG16 When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?(1)The player tossed the coin 24 times.(2)The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.
OG18 OG19 OG20 OG2022 Jack wants to use a circular rug on his rectangular office floor to cover two small circular stains, each less than $$\frac{π}{100} $$square feet in area and each more than 3 feet from the nearest wall. Can the rug be placed to cover both stains?(1) Jack's rug covers an area of 9π square feet.(2) The centers of the stains are less than 4 feet apart.
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The distribution of students' grades in A and B is shown in the following table. Is the average grade of class A higher than that of class B?
1: x= 3, y=4
2: The three students with the lowest scores in class A all scored 0. The two students with the lowest scores in class B all scored 0.
Of the families in City X in 1994, 40 percent owned a personal computer. The number of families in City X owning a computer in 1998 was 30 percent greater than it was in 1994, and the total number of families in City X was 4 percent greater in 1998 than it was in 1994. What percent of the families in City X owned a personal computer in 1998?