suppose the velocity of an automobile starting from rest is given by v =200t / 2t+8 where v is the velocity in miles per hour and t is the time in seconds. find the number of seconds when the velocity is 50 miles per hour
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OpenStudy (anonymous):
reposting this because the answer is suppose to be 4 seconds can someone show or explain it
OpenStudy (anonymous):
\[50= \frac{200t}{2t +8}\]
OpenStudy (anonymous):
\[2t +8 = 4t\]
OpenStudy (akshay_budhkar):
2t+8=4t
OpenStudy (anonymous):
\[t = 4\]
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OpenStudy (akshay_budhkar):
t=4
OpenStudy (anonymous):
tun-tun how about now ? did you get it
OpenStudy (anonymous):
how is it 2t+8 = 4t? i dont get it?
OpenStudy (akshay_budhkar):
divide by 50 on both sides
OpenStudy (anonymous):
Divide by 50 and multiply by 2t + 8 both sides to the expression i wrote in my first reply
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OpenStudy (anonymous):
what about now?
OpenStudy (anonymous):
if i divide both sides by 50 then it will remove the 50 in the left side but it will add /50 to the right side?
like
= 200t / 2t+8 / 50 ?
OpenStudy (akshay_budhkar):
yes
OpenStudy (akshay_budhkar):
so its 200t/(2t+8)(50)
OpenStudy (akshay_budhkar):
which is 4t/2t+8
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OpenStudy (anonymous):
ohhh now i get coz im putting 50 under 2t+8
got it got it