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OpenStudy (itrymath):
OpenStudy (itrymath):
@3mar
OpenStudy (itrymath):
@563blackghost
OpenStudy (itrymath):
Hello! ghost!
563blackghost (563blackghost):
Heyo :)
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OpenStudy (itrymath):
you're a mathlete congrats!!!
563blackghost (563blackghost):
Oh thank you :)
OpenStudy (itrymath):
@mathmate
OpenStudy (itrymath):
I think the answer is A
OpenStudy (sshayer):
\[-30<c<130\]
\[Replace ~c~by~\frac{ 5 }{ 9 }\left( F-32 \right)\]
and then solve for F
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OpenStudy (itrymath):
what do you mean replace C by 5 over 9
OpenStudy (sshayer):
for this first multiply each inequality by 9
OpenStudy (mathmate):
An easy way is to do the inverse transformation.
C=5/9*(F-32)
multiply both sides by 9/5
(9/5)C=F-32
F=32+(9/5)C
Example for the first option:
C=-30
F=32+(9/5)(-30)=32-54=-22 which matches the second inequality.
So continue this way to find the right answer.
OpenStudy (sshayer):
then divide each by 5
OpenStudy (itrymath):
and do the same for 130
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OpenStudy (sshayer):
Lastly add 32 to each
OpenStudy (itrymath):
what??
OpenStudy (itrymath):
how did we get 9/5C + 32 when it was - 32
OpenStudy (sshayer):
-270<5(F-32)<1170
divide by 5
-54<F-32<234
add 32 to each
-22<F<266
OpenStudy (itrymath):
5(f-32) ???
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OpenStudy (itrymath):
you mean 9/5 ?
OpenStudy (sshayer):
see my first posting ,then step by step
OpenStudy (itrymath):
im soooo confused
OpenStudy (itrymath):
what an inequality
OpenStudy (sshayer):
formula for converting centigrade to Fahrenheit is
\[c=\frac{ 5 }{ 9 }\left( F-32 \right)\]
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OpenStudy (sshayer):
in the statement it is given c lies between -30 and 130
OpenStudy (itrymath):
okay
OpenStudy (itrymath):
how do we get (9/5)C=F-32
F=32+(9/5)C
OpenStudy (itrymath):
how was is it minus and know its addition??
OpenStudy (itrymath):
whattt how do you get -270?!?!??!?!?!
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