<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>
Answer:
7
Step-by-step explanation:
Since, M is between S and T.
Therefore, SM + MT = ST
9x- 8 + 2x + 3 = 72
11x - 5 = 72
11x = 72 + 5
11x = 77
x = 77/11
x = 7
Answer:
Step-by-step explanation:
He earned 485.04. You have to add. Hence the words in all
Answer: x = -2
<u>Step-by-step explanation:</u>
Find 2 numbers whose product is the c-value of 4 and their sum is the b-value of 4.
x² + 4x + 4 = 0
∧
1 + 4 = 5
2 + 2 = 4 <em>this works!</em> <em>so the factors are: </em>
(x + 2)(x + 2) = 0
x + 2 = 0 and x + 2 = 0
x = -2 and x = -2 --> <em>same answer so only need to list it once</em>
Hello there! Your answer is B. Negative.
Since -4 and -3/4 are both negatives, the negatives cancel eachother out and you are left with a positive. :)
