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OG16 OG17 OG18 OG19 OG20 OG2022 Four extra-large sandwiches of exactly the same size were ordered for m students, where m>4. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?
A factory worker produced one lot of connecting clips, and initial quality control found that $$\frac{5}{7}$$ of clips in the lot could be used. An assembly plant purchased this lot of clips valuing the lot at $3 per each usable clip. During assembly, it became known that only $$\frac{3}{5}$$ of the clips in the lot were usable. What was price per usable clip that the assembly plant paid for the lot?
PREP07 Test 2 A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 5 hours. Harvesting machine K harvested how many acres of wheat per hour?
PREP07 Test 1 . A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors:blue, green, yellow, or pink. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
PREP07 Test 2 Each day Linda spends 6 hours at her baby-sitting job, for which she is paid $15.00 per hour. In addition, Linda spends a total of 1.5 hours each day, for which she is not paid, traveling to and from the job. What is Linda's hourly rate of pay for the total amount of time that she spends each day at her baby-sitting job and traveling to and from that job?
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If , where is a prime number greater than 3, how many different positive non-prime divisors does have, excluding 1 and ?
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Regional Manager: Several of our stores have recently implemented a new method of taking daily inventory that uses less of our warehouse employees’ time by using more automated processes than the previous system. It is thus clear that the new, more automated system better optimizes these stores’ use of human resources than the older method did.

Which of the following, if true, most strengthens the argument above?
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Although real estate values in the rural village of Cornville have dropped because of the new unavailability of medical facilities, prices will not stay low for long. In the five years since the closure of a hospital in the city of Scoville, property values have gradually returned to the levels they held before the closure of the hospital.

Which of the following, if true, most seriously weakens the argument?
OG18-数学分册 A collection of 36 cards consists of 4 sets of 9 cards each. The 9 cards in each set are numbered 1 through 9. If one card has been removed from the collection, what is the number on that card?(1)The units digit of the sum of the numbers on the remaining 35 cards is 6.(2)The sum of the numbers on the remaining 35 cards is 176.
For a certain play performance, adults' tickets were sold for $12 each and children's tickets were sold for $8 each. How many children's tickets were sold for the performance?(1)The total revenue from the sale of adults' and children's tickets for the performance was $5,040.(2)The number of adults' tickets sold for the performance was $$\frac1 3$$ the total number of adults' and children's tickets sold for the performance.
To be eligible for retirement benefits at the Omega Corporation, the sum of an employee's age, in years, and the number of years of employment must be at least 70. If x, where x < 70, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y ?
PREP08 Test 2 Every fall Croton's jays migrate south. The jays always join flocks of migrating crookbeaks with which they share the same summer and winter territories. If a jay becomes separated from the crookbeaks it is accompanying, it wanders until it comes across another flock of crookbeaks. Clearly, therefore, Croton's jays lack the navigational ability to find their way south on their own.Which of the following, if true, most strengthens the argument?
A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies. If each candy cost $0.25, and there are exactly 90 candies in the machine, what is the minimum amount of money required to guarantee that you would buy at least three of each type of candy?
A store normally charges $0.85 per package of spaghetti, regardless of the number of packages bought. What will be the cost of 5 packages of spaghetti if the regular price is reduced?(1) The cost of 5 packages of spaghetti at the reduced price is $2.75.(2) When purchased at the reduced price, each package of spaghetti is $0.30 less than when each package is bought at the original price.
PREP07 Test 2 At a certain refreshment stand, all hot dogs have the same price and all sodas have the same price. What is the total price of 3 hot dogs and 2 sodas at the refreshment stand?(1) The total price of 5 sodas at the stand is less than the total price of 2 hot dogs. (2) The total price of 9 hot dogs and 6 sodas at the stand is $21.
PREP07 Test 2 What is the average (arithmetic mean) height of the n people in a certain group?(1) The average height of the $$\frac{n}{3}$$ tallest people n the group is 6 feet $$2\over{\frac{1}{2}}$$ inches, and the average height of the rest of the people n the group is 5 feet 10 inches.(2) The sum of the heights of the n people is 178 feet 9 inches.
Magoosh Ten years ago, the Salisbury City Council passed the Culinary Bill, new legislation to protect the interests of local non-franchise restaurants. Of the 120 local non-franchise restaurants in Salisbury today, 85 opened during the last ten years. Clearly the Culinary Bill has caused a surge in the number of local non-franchise restaurants operating in Salisbury over the past ten years. Which of the following is an assumption on which the argument depends?
OG18 OG19 OG20 OG2022 Last school year, each of the 200 students at a certain high school attended the school for the entire year. If there were 8 cultural performances at the school during the last school year, what was the average (arithmetic mean) number of students attending each cultural performance? (1) Last school year, each students attended at least one cultural performance.(2) Last school year, the average number of cultural performances attended per student was 4.
OG18-数学分册 If the total price of n equally priced shares of a certain stock was $12,000, what was the price per share of the stock?(1) If the price per share of the stock had been $1 more, the total price of the n shares would have been $300 more.(2) If the price per share of the stock had been $2 less, the total price of the n shares would have been 5 percent less.
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y=mx−3 In the equation above, m is a constant. If y=33 when x=6, what is the value of y when x=12?