<span>Answer:
Roma Sherry drove 330 miles from her hometown to Tucson. During her return trip, she was able to increase her speed by 11 mph. If her return trip took 1 hour less time, find her original speed and her speed returning home.
:
Let s = original speed
then
(s+11) = return speed
:
Write a time equation: Time = distance%2Fspeed
:
Original time = return time + 1 hr
330%2Fs = 330%2F%28%28s%2B11%29%29 + 1
:
Multiply equation by s(s+11) and you have:
330(s+11) = 330s + s(s+11)
:
330s + 3630 = 330s + s^2 + 11s
:
0 = 330s - 330s + s^2 + 11s - 3630
:
A quadratic equation:
s^2 + 11s - 3630 = 0
Factor this to:
(s + 66)(s - 55) = 0
Positive solution
s = 55 mph is original speed.
:
Find the time
330/55 = 6 hr, original time
and
330/66 = 5 hrs, faster time; confirms our solution.</span>
15/3 = 5 hope this helped!
All triangles interior angles equal 180
So these 3 angles = 180
12v = 18+6v
move +6v to the other side
sign changes from +6v to -6v
12v-6v= 18+6v-6v
12v-6v= 18
6v= 18
divide by 6 to get v by itself
6v/6=18/6
Answer:
v= 3
The rule is that: You are adding 5 each time
5(100) + 4 = 504
Your answer should be 504
hope this helps
