<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>
The answer would be 5,318,000 more barrels were consumed by the U.S than Japan
Answer:
4 5 6 7
Step-by-step explanation:
I believe that answer is 31
Answer:
4
Step-by-step explanation:
since it's all addition, we can remove the parentheses
![3x + x + 10 + 5x + 2x + 2 = 56](https://tex.z-dn.net/?f=3x%20%2B%20x%20%2B%2010%20%2B%205x%20%2B%202x%20%2B%202%20%3D%2056)
Now we combine like terms
![3x+x+5x+2x+10+2=56](https://tex.z-dn.net/?f=3x%2Bx%2B5x%2B2x%2B10%2B2%3D56)
![11x+12=56](https://tex.z-dn.net/?f=11x%2B12%3D56)
We subtract both sides by 12 to get,
![11x=44](https://tex.z-dn.net/?f=11x%3D44)
now we divide both sides by 11
![x=\frac{44}{11}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B44%7D%7B11%7D)
![x=4](https://tex.z-dn.net/?f=x%3D4)