Mathematics
14 Online
OpenStudy (anonymous):
Solve for X. 5/6 * X = 30 *
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OpenStudy (anonymous):
Solve for X. 5/6 * X = 30 *
OpenStudy (anonymous):
36
OpenStudy (michele_laino):
here we have to multiply both sides by 6, so we get:
\[6 \cdot \frac{5}{6}x = 30 \cdot 6\]
OpenStudy (anonymous):
36?
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OpenStudy (michele_laino):
now, we have:
\[6 \cdot \frac{5}{6} = \frac{6}{6} \cdot 5 = ...?\]
OpenStudy (anonymous):
5 6?
OpenStudy (michele_laino):
what is
\(\Large \frac{6}{6}\) ?
OpenStudy (anonymous):
huan 1
OpenStudy (michele_laino):
ok! So, we can write:
\[6 \cdot \frac{5}{6} = \frac{6}{6} \cdot 5 = 1 \cdot 5 = ...?\]
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OpenStudy (anonymous):
5
OpenStudy (michele_laino):
correct! so, the left side, is:
\[6 \cdot \frac{5}{6}x = 5x\]
now, what is \(30 \cdot 6=...\) ?
OpenStudy (anonymous):
ok hmm 180
OpenStudy (michele_laino):
that's right! So, I can rewrite the original equation like below:
\(5x=180\)
OpenStudy (anonymous):
THX
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OpenStudy (anonymous):
1 more
OpenStudy (michele_laino):
Please wait. now, I divide both sides by 5, so I get:
\[\frac{5}{5}x = \frac{{180}}{5}\]
OpenStudy (anonymous):
oops
OpenStudy (michele_laino):
what is \[\frac{5}{5}=...?\]
OpenStudy (anonymous):
1
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OpenStudy (michele_laino):
ok! So left side become:
\[\frac{5}{5} \cdot x = 1 \cdot x = x\]
OpenStudy (michele_laino):
and, what is \(180/5=...?\)
OpenStudy (anonymous):
idk
OpenStudy (anonymous):
36
OpenStudy (anonymous):
:D
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OpenStudy (michele_laino):
please use windows calculator :)
OpenStudy (anonymous):
36
OpenStudy (michele_laino):
that's right! So, we the requested answer, is:
\(x=36\)
OpenStudy (anonymous):
ok next one :D
OpenStudy (michele_laino):
ok!