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Probably took me the same amount of time by a slightly different route:
You're right, I thought of this after having written the route.
Jerry
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I got a slightly different (if not simpler) answer.
a/(a+b) = c/d
a = c/d*(a+b)
a*d/c = a+b
a*d/c -a = b
a*(d/c -1) = b
a=b/(d/c-1)
Which if you multiply the numerator & denominator by c you'll get the answer the machine reports.
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a/(a+b) = c/d
a = c(a+b)/d
a = ca/d + cb/d
a - ca/d = cb/d
ad - ac = cb
a(d-c) = cb
a = cb/(d-c) A slightly different version from Jerry's. I had 32 credit-hours of math in college - calculus, differential equations, and matrix algebra. All of it's gone, with the space in my head now used for old movie lines. The algebra's stayed around, as it seems to come in handy now and then.
Software Zen: delete this;
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As a math minor I suddenly understand the disdain for cliffs notes...
LOL
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kmoorevs wrote: a/(a+b) = c/d where I was solving for the variable a.
It's a lot easier to see the solution when one writes it like:
a c
------ = ---
a + b d
I'm a firm believer that visualizing (or expressing) the problem correctly is 90% of the solution.
Given the above, cross multiply to get:
ad = c (a+b)
then:
ad = ca + cb
ad - ca = cb
a(d-c) = cb
cb
a = ---------
d-c
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Learning to code with python is like learning to swim with those little arm floaties. It gives you undeserved confidence and will eventually drown you. - DangerBunny
Artificial intelligence is the only remedy for natural stupidity. - CDP1802
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oh wow, thanks. helped prove that the following does simplify
(A / (B * C) ) * B
simplifies to
A / C
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... drinking 8 glasses of water a day seems impossible, but 8 beers and 7 shots goes down like a fat kid on a seesaw?
Sent from my Amstrad PC 1640
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
AntiTwitter: @DalekDave is now a follower!
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It also makes drinking 8 glasses of water the next day more desirable 
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I reckon it's the environmental factors that makes beer drinking easier,
forcing down that 8th glass of water coz 'you're supposed to' is just a chore,
drinking the 8th beer because the last one went down well and you feel like continuing (esp entertaining/being entertained) is pretty much automagic.
same as eating a whole pizza
- sitting down at a table barely half way it's tough going, probably doggy-bag required.
- [lubricated with beer] during a big/live game - particularly if it's a close game... full time, still got the munchies, and you're wondering who stole the other half of your pizza.
This internet thing is amazing! Letting people use it: worst idea ever!
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OriginalGriff wrote: but 8 beers
It's all a matter of which you do first. The 8 beers or the 8 glasses of water...
A Fine is a Tax for doing something wrong
A Tax is a Fine for doing something good.
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I suggest trying it out first, with the beers, just to see if you can do it.
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8 glasses? Hmph. I drink at least a liter of water every day. Usually more.
The difficult we do right away...
...the impossible takes slightly longer.
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Yes, you need to begin to set some drinking goals.
The difficult we do right away...
...the impossible takes slightly longer.
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kmoorevs wrote: I'm starting to switch to sports drinks instead of dew but I don't see myself quitting the dews
I hope that is not because you think the sport drinks are better for you! Your suger intake will probably not change.
Never underestimate the power of human stupidity
RAH
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Really - it's not that complicated.
As you know by now (actually, after the first beer you ever drank), beer does not have a proper residency permit.
(For your mind's eye, only: potentially, with careful timing, you can watch the previous beer depart as you welcome in the next . . . in any case, these visitors are certainly not "squatters").
| Ravings en masse^ |
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| "The difference between genius and stupidity is that genius has its limits." - Albert Einstein | | "If you are searching for perfection in others, then you seek disappointment. If you are seek perfection in yourself, then you will find failure." - Balboos HaGadol Mar 2010 |
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