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190415 Quadrilateral ABCD is a square. The triangle BCE is an equilateral triangle. BC=10. DE=？
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If a and b are two positive integers whose greatest common divisor is , what will be the remainder of , if ?
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A square has an inscribed circle of radius 4 feet. The ratio of the area of the square to the area of the circle is x, and the ratio of the perimeter of the square to that of the circle is y. Which of the following is true?
Each of the numbers a, b, c, d is equal to -1, 0, or 1. What is the value of a + b + c + d?1. $$\frac{a}{2}+\frac{b}{4}+\frac{c}{8}\frac{d}{16}=\frac{1}{8}$$2. $$\frac{a}{4}+\frac{b}{16}+\frac{c}{64}+\frac{d}{256}=\frac{11}{64}$$
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A couple decides to have 4 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, what is the probability that they will have 1 boy and 3 girls?
There are 8 magazines lying on a table; 4 are fashion magazines and the other 4 are sports magazines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazines will be selected?
PREP07 Test 2 There are 8 magazines lying on a table; 4 are fashion magazines and the other 4 are sports magazines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazines will be selected?
Magoosh If$$ x^2 - y^2 = 12$$ and x - y = 4, then x =
Manhattan If $$x^{2} – 4x = 5$$, then one possible value of x – 4 =
$${(5^{8}+1){(5^{4}+1)}{(5^{2}+1)}{(5^{2}-1)}}$$=
PREP07 Test 1 Which of the following must be equal to $${x}^{6}{x}^{4}$$ ?
190415 What's the largest prime factor of $$2^{32}$$+$$4^{16}$$+$$8^{8}$$?
Is |k| = 2 ?(1) $$k^{2}=4$$(2) k = |-2|
OG12 OG15 OG16 A = {2, 3, 4, 5)B = {4, 5, 6, 7,8}Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9?
OG12 OG15 OG16 OG17 $$\frac {1}{2}+[(\frac{2}{3}\times\frac{3}{8})\div{4}]-\frac{9}{16}$$
181215 9$$x^{2}$$-4$$y^{2}$$=189. x=？ 1：3x+2y=21 2：3x-2y=9
Is x < 0 ? (1) $${x}^{3}<{x}^{2}$$ (2) $${x}^{3}<{x}^{4}$$
190124 Is x>0？ 1：$$x^{3}$$ < $$x^{2}$$ 2：$$x^{4}$$ < $$x^{3}$$
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Johan rides his bicycle to and from college every day, and the round-trip takes hours. If the radius of his bicycle's front wheel is centimeters and the wheel makes revolutions over the course of the round-trip, then which of the following is closest to Johan's average speed in kilometers per hour?
190321 The portion of the iceberg that is out of the water accounts for 1/8~1/7 of the total volume of the iceberg. What is the ratio of the part of the iceberg above the water to the part below the water?