Help me with this math question please.. :(?
a) Solve for the formula for t.
b) How many hours did the plumber work if the cost was $330?
The speed of an object accelerating at a constant rate is given by the formula s = i +at. a is the speed, in kilometres per hour. i is the initial speed, in kilometres per hour. a is the acceleration, in kilometres per hour per hour. t is the time, in hours.
a) Solve the formula for i.
b) What was the initial speed of a car travelling at 100 km/h that had accelerated at 60 km/h^2 for 1 min?
Favorite Answer
330=50+40t
280=40t
t=7 hours
=)
For the speed, it becomes…
i=s-at
Plug in any numbers that you have…
C = 50 + 40t
We’re trying to isolate the ‘t’. By the rules of precedence, we’d multiply 40 times t first, then add 50. To isolate t, we have to undo those in reverse order.
Last would be to add 50, so the first thing we’ll do is subtract 50 from both sides:
C – 50 = 50 + 40t – 50
C – 50 = 40t
Now we have to undo the “multiply by 40”. We undo multiplication by division:
(C – 50)/40 = 40t/40 = t
So,
t = (C – 50)/40
If the cost is 330, we just plug that in for C:
t = (330 – 50)/40 = 280/40 = 7
So he worked seven hours.
Go, now, and do thou likewise.
C-50=40t
t=(c-50)/40
b) t=(330-50)/40
t= 280/40
t= 7 hours
a) s=i+at
i=s-at
b) i=100-(60)(1)
i= 40 mph
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