Cara drives for 4 hours at a rate of 45 miles per hour. Later, she drives for another 3 hours so that her total distance traveled for the day is 336 miles. Find the solution set for 4(45) + 3r = 336 given the replacement set {52, 53, 54, 55} to determine the rate at which Cara traveled during the second part of her trip.
(Points : 1)
52
53
54
55
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OpenStudy (anonymous):
help
OpenStudy (phi):
4(45) + 3r = 336
what does 4(45) mean? any idea?
OpenStudy (anonymous):
4*45
OpenStudy (phi):
and 4*45= ?
OpenStudy (anonymous):
180
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OpenStudy (phi):
so
4(45) + 3r = 336
is the same as
180 + 3r= 336
can you subtract 180 from both sides? what do you get?
OpenStudy (anonymous):
156
OpenStudy (phi):
what about the left side? in other words, write down the entire equation (or we will get lost)
OpenStudy (anonymous):
3r=156?
OpenStudy (phi):
close
180 + 3r= 336
180-180 + 3r = 336 -180
simplify both sides. 180-180 is 0 and 0+3r is 3r (adding 0 does "nothing")
3r = 156
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OpenStudy (anonymous):
52?
OpenStudy (phi):
last step, divide both sides by 3.
on the left side 3/3 is 1 and you get r