Mathematics
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OpenStudy (shaleiah):
@DivineSolar
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OpenStudy (shaleiah):
DivineSolar (divinesolar):
Do you have an equation that you made out of this?
DivineSolar (divinesolar):
If you make the equation I can help with the rest just like the last question.
OpenStudy (shaleiah):
\[\frac{ 84 }{ 48 }=\frac{ (7x+7) }{ 52 }\]
DivineSolar (divinesolar):
Okay let's get started ;), time to use my program to get typing in then I will transfer over to here an write it in the latex format.
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DivineSolar (divinesolar):
First you cross multiply > (84) * (52) = (7x + 7) * (48) which gives us > 4368 = 336x + 336 > Flip the equation > ?
DivineSolar (divinesolar):
I want you to flip it.
DivineSolar (divinesolar):
Try flipping the equation :).
DivineSolar (divinesolar):
???? + ??? = 4368
OpenStudy (shaleiah):
336+336
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DivineSolar (divinesolar):
Not quite add the variable x to the end of the first 336. > 336x + 336 = 4368
DivineSolar (divinesolar):
Now what we need to do is subtract 336 from both sides > 336x + 336 - 336 = 4368 - 336 > ?
OpenStudy (shaleiah):
your right 336x+336
4368-336=4023
DivineSolar (divinesolar):
Correct on 4023, so now what do we get ? > ? = 4023
OpenStudy (shaleiah):
336x+336=4023
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DivineSolar (divinesolar):
Remove + 336 > ? = 4023
OpenStudy (shaleiah):
4023/336=12
DivineSolar (divinesolar):
Nooo xD! Its 336x = 4023 because 336x + 336 - 336 would be 336x + 336 = 672x - 336 which gives you 336x = 4023
DivineSolar (divinesolar):
Understand?
OpenStudy (shaleiah):
Yes
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DivineSolar (divinesolar):
Okay now we move on to dividing both sides by 336 which looks like this > \[\frac{ 336x }{ 336 } = \frac{ 4032 }{ 336 }\]
DivineSolar (divinesolar):
Let me know what you get ^-^.
OpenStudy (shaleiah):
x=12
DivineSolar (divinesolar):
Great job! Correct! :D!
OpenStudy (shaleiah):
@myininaya
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myininaya (myininaya):
hey can you get guess what the constant of proportionality is from small triangle to big triangle?
OpenStudy (shaleiah):
I'll try
OpenStudy (shaleiah):
7
myininaya (myininaya):
is 48*7 equal to 84?
OpenStudy (shaleiah):
no
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myininaya (myininaya):
we need to figure out what number to multiply to 48 that will give us 84
myininaya (myininaya):
and then we will use that number to find x in the equation:
52*constant=7x+7
where constant is the constant of proportionality
myininaya (myininaya):
so first solve 48*k=84
for k
then solve 52k=7x+7 for x
OpenStudy (shaleiah):
1.75
myininaya (myininaya):
ok or 7/4
so you have
52(1.75)=7x+7
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OpenStudy (shaleiah):
12
myininaya (myininaya):
yep
you actually set that equation up correctly above
\[\frac{ 84 }{ 48 }=\frac{ (7x+7) }{ 52 } \]
myininaya (myininaya):
\[\frac{7}{4}=\frac{7x+7}{52} \\ 52(\frac{7}{4})=7x+7 \\ 52(1.75)=7x+7\]
myininaya (myininaya):
x=12 is correct :)
OpenStudy (shaleiah):
Thank you!!!