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If $$\frac{{x}({x}-{2})({x}^{2}-{1})}{{x}+{5}}={0}$$, which of the following is the set of solutions for x?
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OG21 OG2022
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Carol purchased one basket of fruit consisting of 4 apples and 2 oranges and another basket of fruit consisting of 3 apples and 5 oranges. Carol is to select one piece of fruit at random from each of the two baskets. What is the probability that one of the two pieces of fruit selected will be an apple and the other will be an orange?
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181215
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A={1,2,3,4,5}, B={1,2,3,4,5}. Take a number from sets A and B respectively. What is the probability that the product of these two numbers is less than 4?
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190215
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If a coin is even, and the possibility of the occurrence of showing the head and the tail are equal. What is the probability that the head shows up at least one time?
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 The figure above shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least $$\frac{1}{2}$$ foot when they are inside the traffic lane, what should be the limit on the height of vehicles that are allowed to use the tunnel?
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OG12 OG15 OG16 OG17
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It would take one machine 4 hours to complete a large production order and another machine 3 hours to complete the same order. How many hours would it take both machines, working simultaneously at their respective constant rates, to complete the order?
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Magoosh
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Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 1000 widgets?
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OG17 OG18 OG19 OG20 OG2022
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Which of the following equations has 1 + $$\sqrt{2}$$ as one of its roots?
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$$(1 + \sqrt{5})(1 - \sqrt{5}) = $$
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OG18-数学分册
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$$(1 + \sqrt{5})(1 - \sqrt{5}) = $$
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第一期
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The triangle ABC is inscribed in the circle O. The radius of the circle is 1. Center O is on diameter AC. AB = BC. What is the area of triangle ABC?
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190603
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In the coordinate system, for a quadrilateral, the coordinates of four vertices are (1,0), (3,0), (3,1), (1,1) respectively. There is a straight line passing through the point (0,0) and divide the quadrilateral area into two equal parts. What is the slope of this straight line?
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190113
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$$\frac{2}{n(n+1)(n+2)}$$=$$\frac{1}{n(n+1)}$$-$$\frac{1}{(n+1)(n+2)}$$.$$\frac{(2)(29)}{(5)(6)(7)}$$+$$\frac{(2)(29)}{(6)(7)(8)}$$+...+$$\frac{(2)(29)}{(28)(29)(30)}$$=?
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PREP07 Test 2
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In the xy-plane, line k passes through the point (1,1) and line m passes through the point (1,-1). Are lines k and m perpendicular to each other?(1) Lines k and m intersect at the point (1,-1).(2) Line k intersects the x-axis at the point (1,0).
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If x and y are positive numbers, is $$\frac{x+1}{y+1}>\frac{x}{y}$$? (1) x > 1 (2) x < y
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PREP07 Test 2
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If $$ab\neq0$$, then $$a^{-1} + b^{-1} =$$
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181215
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The triangle ABC is inscribed on the circle O. The radius of the circle is 1. Center O is on line AC. AB = BC. What is the area of triangle ABC?
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Magoosh
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Is the slope of Line 1 positive?Statement #1: The angle between Line 1 and Line 2 is 40º.Statement #2: Line 2 has a slope of 1.
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Magoosh
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The symbol Ω represents one of the following operations: addition, subtraction, multiplication or division. What is the value of 1 Ω 1?(1) 2 Ω 2 = 4(2) 0 Ω 1 = 0
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Magoosh
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If x and y are positive odd integers, then which of the following must also be an odd integer?I. $$x^{y+1}$$II. x(y+1)III. $$(y+1)^{x-1} + 1$$
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