George can fill Q cans of paint in 3 minutes. If there are R cans of paint in one gallon, how many gallons can George fill in 45 minutes?
Answer(s): E
George can fill Q/3 cans of paint in one minute □ There are R cans in one gallon, so R/(Q/3) = 3R/QIs the time it takes George to fill one gallon (in minutes). In 45 minutes George can fill up 45/ (3R/Q) = 15Q/R. The correct answer is E.
If (4 # 2 = 14) and (2 # 3 = 6), what can replace (a # b)?
Answer(s): D
Plug in the answers.A- (4 # 2) = 8. The answer should be 14.B- (2 # 3) = (2 + 3)3 = 15. The answer should be 6.C- (2 # 3) = (22 – 3) = 1. The answer should be 6.D- (4 # 2) = (42 – 2) = 14. This is the right answer; check (2 # 3) also. The correct answer is D.
In a rectangular coordinate system, what is the square root of the area of a trapezoid whose vertices have the coordinates (2, -2), (2, 3), (20, 2), (20, -2)?
Answer(s): B
Draw the x and y-axes, then plot the points and connect them. The area of a trapezoid is (base1 + base2) x (height) / 2.Base1 = 5, base2 = 4, height = 18 thus the area is 9 x 9 = 81. The answer to the question is the square root of 81, meaning 9. The correct answer is B.
If the least common multiple of two prime numbers x and y is 10, where x > y, then the value of 2x + y is
The only prime numbers that satisfy this condition are 2 and 5. Since x > y, x = 5 and y = 2. Therefore, by substitution, 2 (5) + 2 = 10 + 2 = 12.
What is the product of 6% and 14%?
Convert 6% to its decimal equivalent of 0.06 and 14% to 0.14. The key word “product” tell you to multiply, so 0.06 ꔻ 0.14 = 0.0084, which is choice b.
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