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In the xy-plane, is the slope of line k positive?(1)Line k passes through the points (-1, -7) and (2, 5).(2)Line k has equation y = 4x - 3.
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OG12
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If k, m, and t are positive integers and $$\frac k 6+\frac m 4=\frac t {12}$$, do t and 12 have a common factor greater than 1 ?(1)k is a multiple of 3.(2)m is a multiple of 3.
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OG15 OG16 OG17 OG12 OG18 OG19 OG20 OG2022
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k, n, 12, 6, 17What is the value of n in the list above?(1)k < n(2)The median of the numbers in the list is 10.
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What is the value of $$x$$ ?(1)$${x}^{2}+{y}^{2}$$ = 25(2)$$xy = 12$$
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OG12 OG15 OG16 OG17
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A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store's gross profit from the item was what percent of its cost for the item?(1)$$y - x = 20$$(2)$$\frac y x=\frac5 4$$
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OG12 OG16 OG17 OG15
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In the xy-plane,region R consists of all the points (x, y) such that 2x + 3y ≤ 6. Is the point (r, s)in region R ?(1)3r +2s =6(2)r ≤ 3 and s ≤ 2
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If sequence S has250 terms, what is the 243rd term of S ?(1)The 242nd term of S is-494.(2)The first term of S is-12, and each term of S after the first term is 2 less than the preceding term.
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OG16 OG17 OG18 OG19 OG20 OG2022
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A certain list consists of 3 different numbers. Does the median of the 3 numbers equal the average (arithmetic mean) of the 3 numbers?(1)The range of the 3 numbers is equal to twice the difference between the greatest number and the median.(2)The sum of the 3 numbers is equal to 3 times one of the numbers.
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OG15 OG16 OG17 OG18
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The weights of all dishes of type X are exactly the same, and the weights of all dishes of type Y are exactly the same. Is the weight of 1 dish of type X less than the weight of 1 dish of type Y ?(1)The total weight of 3 dishes of type X and 2 dishes of type Y is less than the total weight of 2 dishes of type X and 4 dishes of type Y.(2)The total weight of 4 dishes of type X and 3 dishes of type Y is less than the total weight of 3 dishes of type X and 4 dishes of type Y.
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If x, y,and z are positive integers, is xz even?(1)xy is even.(2)yz is even.
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If w and c are integers, is w > 0?(1)w + c > 50(2)c>48
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Is$$xy\gt\frac{x}{y}$$ ?
(1)xy > 0
(2)y < 0
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OG18-数学分册
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The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner?(1)Each of the k employees who shared the cost of the dinner paid $19.(2)If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid $18.
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OG17
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From Leland's gross pay of p dollars last week, t percent was deducted for taxes and then s dollars was deducted for savings. What amount of Leland's gross pay last week remained after these two deductions?(1)p - s = 244(2)pt = 7,552
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What is the greatest common factor of the positive integers j and k?(1)k = j + 1(2)jk is divisible by 5.
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If n is a positive integer, what is the value of the hundreds digit of $${30}^{n}$$?(1)$${30}^{n} >{1},{000}$$(2)n is a multiple of 3.
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On Monday a store had a sale on bottles of juice S and juice T. If $$\frac1 2$$ the total number of bottles of juice S in stock were sold on Monday, for which juice, S or T, were more of the bottles sold that day?(1)Two-thirds of the total number of bottles of juice T in stock were sold on Monday.(2)At the beginning of the sale, there was a total of 90 bottles of juice S and 60 bottles of juice T in stock.
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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A school administrator will assign each student in a group of n students to one of m classrooms. If 3 < m < 13 < n, is it possible to assign each of the n students to one of the m classrooms so that each classroom has the same number of students assigned to it?(1)It is possible to assign each of 3n students to one of m classrooms so that each classroom has the same number of students assigned to it.(2)It is possible to assign each of 13n students to one of m classrooms so that each classroom has the same number of students assigned to it.
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排列组合
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If a certain coin is flipped, the probability that the coin will land heads is $$\frac1 2$$. If the coin is flipped 5 times, what is the probability that it will land heads up on the first 3 flips and not on the last 2 flips?
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OG16 OG17 OG18 OG19 OG20 OG2022
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The function f is defined by $${f}({x})=\sqrt x-{10}$$ for all positive numbers x. If $$u = f(t)$$ for some positive numbers $$t$$ and $$u$$. What is t in terms of $$u$$?
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