Mathematics
4 Online
OpenStudy (anonymous):
3.2-4d=2.3d+3
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OpenStudy (lgbasallote):
multiply all terms by 10 (yes, you can do that)
\[\implies 32 - 40d = 23d + 30\]
does that look easier?
OpenStudy (anonymous):
Hold on let me try it out.
OpenStudy (lgbasallote):
sure
OpenStudy (anonymous):
3.2-42.3=30
Is that right so far?
OpenStudy (lgbasallote):
how did you get -42.3?
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OpenStudy (lgbasallote):
wait...are we following the revised equation i wrote? or the question you wrote?
OpenStudy (anonymous):
The equation you wrote.
OpenStudy (lgbasallote):
so..what did you do?
OpenStudy (anonymous):
3.2-40d=2.3d+30
-2.3d -2.3
3.2-42.3d=30
OpenStudy (lgbasallote):
you mixed *your* question and *my* revised equation
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OpenStudy (lgbasallote):
what i wrote was
32 - 40d = 23d + 30 <--no decimals
OpenStudy (anonymous):
Oh!
OpenStudy (lgbasallote):
the whole point of multiplying everything by 10 was to get rid of the decimals
OpenStudy (anonymous):
Okay okay let me try that one out.
That seems easier.
OpenStudy (lgbasallote):
go ahead
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OpenStudy (anonymous):
Erg, I came out with a really long number.
OpenStudy (anonymous):
Are you supposed combine like terms?
OpenStudy (lgbasallote):
yes
OpenStudy (anonymous):
Okay. hold on.
OpenStudy (anonymous):
You add -40 and 23 right?
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OpenStudy (lgbasallote):
yes. add 40d to both sides
OpenStudy (anonymous):
I added 40 to both sides and got
32=63d+30
OpenStudy (anonymous):
Then I subtracted 30 from each side, and it came out as
2=63d
OpenStudy (lgbasallote):
right. you're good so far
OpenStudy (anonymous):
alright well I divided 63 to both and it came out as a long number.
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OpenStudy (lgbasallote):
exactly
OpenStudy (lgbasallote):
something like 0.0317
OpenStudy (anonymous):
Yeah!
OpenStudy (lgbasallote):
that's right
OpenStudy (anonymous):
But the answer in the back of the book says it's 2/63
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OpenStudy (lgbasallote):
then it's 2/63
OpenStudy (lgbasallote):
\[2 = 63d\]
divide both sides by 63
\[\frac 2{63} = d\]
OpenStudy (anonymous):
I thought you had to divide that though.
OpenStudy (lgbasallote):
that's what you got originally wasn't it?
OpenStudy (lgbasallote):
well if the book says it's 2/63 then you follow what it says
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OpenStudy (anonymous):
Okay, thanks! (:
OpenStudy (lgbasallote):
welcome