Mathematics
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OpenStudy (wintersuntime):
Rider A: y=3/2x Rider B: y=1/2x+10
Use the equal values method to determine what time rider A passed RiderB: How far from the starting line were the two racers at that time ?
10 years ago
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OpenStudy (wintersuntime):
@mathmale
10 years ago
OpenStudy (wintersuntime):
@kittiwitti1
10 years ago
OpenStudy (kittiwitti1):
Si?
10 years ago
OpenStudy (wintersuntime):
I need help with that question
10 years ago
OpenStudy (wintersuntime):
I need help solving it
10 years ago
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OpenStudy (kittiwitti1):
I don't know e_e
10 years ago
OpenStudy (kittiwitti1):
I'm sorry ; -;
10 years ago
OpenStudy (wintersuntime):
2 (3/2x=1/2x+10)
10 years ago
OpenStudy (kittiwitti1):
!
Oh wait... you set the functions equal to each other right
10 years ago
OpenStudy (wintersuntime):
yes
10 years ago
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OpenStudy (kittiwitti1):
Oh, okay. Yeah you're on the right path (:
10 years ago
OpenStudy (wintersuntime):
Then I distribute ?
10 years ago
OpenStudy (kittiwitti1):
Yep ☺
10 years ago
OpenStudy (wintersuntime):
|dw:1458096325002:dw|
10 years ago
OpenStudy (kittiwitti1):
\[2(\frac{3}{2}x)=2(\frac{1}{2})+2(10)\rightarrow 3x=1+20\]So 3x=21
10 years ago
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OpenStudy (kittiwitti1):
Yep ♪
10 years ago
OpenStudy (wintersuntime):
Then add 3x on both sides
10 years ago
OpenStudy (kittiwitti1):
Whoa, going a little overboard there lol
Nope, did you see what I did ♦
10 years ago
OpenStudy (wintersuntime):
subtract 3x on both sides lol
10 years ago
OpenStudy (kittiwitti1):
Um.. No o_o?
10 years ago
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OpenStudy (wintersuntime):
divide
10 years ago
OpenStudy (kittiwitti1):
Yeah ☺
10 years ago
OpenStudy (wintersuntime):
x=7
10 years ago
OpenStudy (kittiwitti1):
Yes!! ☺☺
10 years ago
OpenStudy (wintersuntime):
I don't know on what equation I should plug it in
10 years ago
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OpenStudy (kittiwitti1):
Either one works I think
10 years ago
OpenStudy (wintersuntime):
So I could plug it in with 1/2x+10 right ?
10 years ago
OpenStudy (wintersuntime):
Is that wrong or right ??
10 years ago
OpenStudy (kittiwitti1):
Sorry! Yeah, it works ♦
10 years ago
OpenStudy (wintersuntime):
its okay
10 years ago
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OpenStudy (wintersuntime):
I got 13.5
10 years ago
OpenStudy (kittiwitti1):
??? That's right but it's weird o_e
10 years ago
OpenStudy (wintersuntime):
or as a fraction is 27/2
10 years ago
OpenStudy (kittiwitti1):
OH WE MESSED UP
10 years ago
OpenStudy (kittiwitti1):
It's x+20 not 1+20
10 years ago
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OpenStudy (wintersuntime):
Wait for the equation ??
10 years ago
OpenStudy (kittiwitti1):
Yeah lol
I'm so sorry > <
10 years ago
OpenStudy (wintersuntime):
its okay
10 years ago
OpenStudy (wintersuntime):
So all of its wrong?
10 years ago
OpenStudy (kittiwitti1):
Okay so it's \[\frac{1}{2}x=\frac{3}{2}x+10\]\[2\left(\frac{1}{2}x\right)=2\left(\frac{3}{2}x\right)+2(10)\]
10 years ago
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OpenStudy (kittiwitti1):
It's not wrong, we just left out an x. I'm redoing it so we don't mess up again is all ♦
10 years ago
OpenStudy (kittiwitti1):
\[\rightarrow x=3x+20\]\[-4x=20...\]
10 years ago
OpenStudy (wintersuntime):
x=-5
10 years ago
OpenStudy (wintersuntime):
Is it right ?
10 years ago
OpenStudy (kittiwitti1):
Yes ☺
10 years ago
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OpenStudy (wintersuntime):
plug it in and y=2.5 or as a fraction 5/2
10 years ago
OpenStudy (kittiwitti1):
Yes ♪
10 years ago
OpenStudy (kittiwitti1):
Except it's negative, don't forget that
10 years ago
OpenStudy (wintersuntime):
oh okay
10 years ago
OpenStudy (wintersuntime):
thanks
10 years ago
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OpenStudy (kittiwitti1):
np ☺
10 years ago