A certain keyboard has five more than twice as many keys across as it does vertically. This special keyboard has a total of 168 keys. Find the amount of keys positioned vertically and across.
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OpenStudy (anonymous):
@IMStuck
OpenStudy (anonymous):
@aum
OpenStudy (anonymous):
@courtney1967 show me how to figure
OpenStudy (anonymous):
@Cosmichaotic
OpenStudy (anonymous):
Lets draw a picture.
Can you show me, first, what 5 more than twice a number looks like in numbers. Say we call x the number.
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OpenStudy (anonymous):
5+2x
OpenStudy (anonymous):
?
OpenStudy (anonymous):
Perfect!
OpenStudy (anonymous):
yay!
OpenStudy (anonymous):
Now we know that the total number of keys are 168 right?
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OpenStudy (anonymous):
yess
OpenStudy (anonymous):
So 5 more than twice a number of keys gives us 168 keys. What equation can you write that shows this?
OpenStudy (anonymous):
5+2x=168
OpenStudy (anonymous):
Dude.. rock on!
OpenStudy (anonymous):
Alright, let's see what x is.
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OpenStudy (anonymous):
yess feels good to know it
OpenStudy (anonymous):
How would you find out what x is in 5+2x=168?
OpenStudy (anonymous):
-5 from 168 and 5
OpenStudy (anonymous):
or divide?
OpenStudy (anonymous):
by 2
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OpenStudy (anonymous):
Right! So we subtract 5 from both sides.
2x = 168 - 5
2x = 163
So now what?
OpenStudy (anonymous):
divide by 2
OpenStudy (anonymous):
but 2 doesent go in 163
OpenStudy (anonymous):
81.5
OpenStudy (anonymous):
Your right, so we made a mistake. Do you see where?
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OpenStudy (anonymous):
by subtracting 168-5
OpenStudy (anonymous):
We said that 2x + 5 was equal to 168 keys, but we needed to look at it this way. |dw:1405300121558:dw|
OpenStudy (anonymous):
it 80
OpenStudy (anonymous):
its
OpenStudy (anonymous):
thats the height
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