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Magoosh
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If x and y are both positive and $$\sqrt{x^{2}+y^{2}} = 3x - y, then \frac{x}{y} =$$
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Magoosh
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If 4x = 14 and xy = 1 then y =
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M = {-6, -5, -4, -3, -2}T = {-2, -1, 0, 1, 2, 3}If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
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Working alone at their respective constant rates, machine A and machine B can fill a certain order in 3 hours and 6 hours, respectively. If the two machines work simultaneously at their respective constant rates, how many hours does it take the two machines to fill 1/2 of that order?
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300难题
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In the figure above, PQ is a diameter of circle 0, PR = SQ,and △RST is equilateral. If the length of PQ is 2, what is the length of RT ?
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181215
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f(x)=$$\frac{4x^{2}-1}{1-2x}$$,$$\frac{f(\sqrt{3})-f(\sqrt{2})}{\sqrt{3}-\sqrt{2}}$$=?
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190321
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Can 3n(n-1) be divided by 6?
1: n is even.
2: n-2 is even.
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190310
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r,s are positive numbers. Is r < s?
1:r+s<1
2:$$r^2=2s$$
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190603
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|x|+|y|≤1，x²+y²=1，How many points satisfy these two conditions at the same time?
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190207
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a=x+$$\frac{1}{x}$$,b=x-$$\frac{1}{x}$$,$$\frac{(2^{a})^{2}}{(2^{b})^{2}}$$=?
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191222
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x^5+2x^4+x^3>0?
Condition 1：x > -1
Condition 2：x < 0
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Ready4
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Which of the following inequalities is an algebraic expression for the shaded part of the number line above?
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Magoosh
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The sum of all the digits of the integers from 18 to 21 inclusive is 24 (1+8 + 1+9 + 2+0 + 2+1 = 24). What is the sum of all the digits of the integers from 0 to 99 inclusive?
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If x and y are positive real numbers, the operation △ is defined by x△y=xy/(x+y). Let a, b, and c be positive real numbers. Which of the following is equivalent to 1/a△(1/b△1/c)?
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OG18 OG19 OG20 OG2022
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Abdul, Barb, and Carlos all live on the same straight road, on which their school is also located. The school is halfway between Abdul's house and Barb's house. Barb's house is halfway between the school and Carlos's house. If the school is 4 miles from Carlos's house, how many miles is Abdul's house from Carlos's house?
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191020
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What is the reciprocal of the sum of the reciprocals of 2, 4, 6, and 12 ?
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OG18-数学分册
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Which of the following lines in the xy-plane does not contain any point with integers as both coordinates?
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PREP07 Test 2
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If n denotes a number to the left of 0 on the number line such that the square of n is less than $$\frac{1}{100}$$, then the reciprocal of n must be
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Magoosh
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An oddly shaped die has N sides, numbered from 1 to N, that are equally likely to appear on a throw. Let P be the probability that at least one "1" appears in two throws. Is P < $$(\frac{1}{5})$$?Statement #1: N is a prime numberStatement #2: N > 5
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OG12 OG15 OG16 OG17 OG18
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Guy's net income equals his gross income minus his deductions. By what percent did Guy's net income change on January 1, 1989, when both his gross income and his deductions increased?(1)Guy's gross income increased by 4 percent on January 1, 1989.(2)Guy's deductions increased by 15 percent on January 1, 1989.
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