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13 Apr 2018, 19:48
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MathRevolution
So initial height is less than the height reached in the third rebound? Strange.
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15 Apr 2018, 18:45
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[GMAT math practice question]
Which of the following is equal to x!/(x+1)! + (x+1)!/(x+2)!?
A. 1+1/x
B. 1+1/(x+1)
C. (2x+3)/(x+1)(x+2)
D. 1/{ x(x+1) }
E. (2x-1)/{(x+1)(x+2)}
=>
x! / ( x + 1 )! + ( x + 1 )! / ( x + 2 )!
= x! / {x! * (x+1)} + (x+1)! / { (x+1)! * (x+2) }
= 1/(x+1) + 1/(x+2) = (2x+3)/(x+1)(x+2)
Therefore, C is the answer.
Answer: C
Which of the following is equal to x!/(x+1)! + (x+1)!/(x+2)!?
A. 1+1/x
B. 1+1/(x+1)
C. (2x+3)/(x+1)(x+2)
D. 1/{ x(x+1) }
E. (2x-1)/{(x+1)(x+2)}
=>
x! / ( x + 1 )! + ( x + 1 )! / ( x + 2 )!
= x! / {x! * (x+1)} + (x+1)! / { (x+1)! * (x+2) }
= 1/(x+1) + 1/(x+2) = (2x+3)/(x+1)(x+2)
Therefore, C is the answer.
Answer: C
15 Apr 2018, 18:47
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[GMAT math practice question]
Alice is paid at a constant rate of $x per hour for the first 40 hours she works and $30 for each hour she works after the first 40 hours. If Alice works 48 hours and earns $920, what is the value of x?
A. $15
B. $16
C. $17
D. $18
E. $19
=>
Total pay = (rate for first 40 hours)*40 hours + ($30)*(number of additional hours)
x * 40 + ( 48 – 40 ) * 30 = 920
x*40 + 8*30 = 920
x * 40 + 240 = 920
x * 40 = 680
x = 680 / 40 = 17
Therefore, C is the answer.
Answer: C
Alice is paid at a constant rate of $x per hour for the first 40 hours she works and $30 for each hour she works after the first 40 hours. If Alice works 48 hours and earns $920, what is the value of x?
A. $15
B. $16
C. $17
D. $18
E. $19
=>
Total pay = (rate for first 40 hours)*40 hours + ($30)*(number of additional hours)
x * 40 + ( 48 – 40 ) * 30 = 920
x*40 + 8*30 = 920
x * 40 + 240 = 920
x * 40 = 680
x = 680 / 40 = 17
Therefore, C is the answer.
Answer: C
