Hey guys, can you help me with this question, see enclosed screenshot of the question. Why is the answer 2/3?
I thought to formulate as
1 fence = (1/x + 1/2x) . k
1/k = 1/x + 1/2x
1/k = 1/x + 2x
x+2x = k
3x = k
hence k = 1/3
I don’t understand this step: your first one looks fine, but I don’t know how you inferred that \frac{x}{2} is 2x. Your subsequent step is similarly confusing.
Apologies
1 fence = (1/x + 1/2x) . k
divide both sides by k
1/k = 1/x + 1/2x
1 over x + 1 over 2x can be changed to 1 over x + 2x
1/k = 1 / (x + 2x)
cross multiply
x+2x = k
3x = k
hence k = 1/3
but maybe the confusing step is what i did wrong?
first isolate this :
\dfrac{1}{x}+\dfrac{1}{2x}
try to make denominator same
As Leaderboard quoted earlier your equation is correct but you’re making mistake while making denominator the same
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You mean
\frac{1}{x} + \frac{1}{2x} = \frac{1}{x + 2x}
(hint: if that was a QC question with Quantity A the LHS and Quantity B the RHS, the answer would be D. In other words, that’s an illegal operation)
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got it, thank u
got it thankkssssssssss <3