<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>
Step-by-step explanation:
Let the number be x.
<u>1</u><u> </u> =8 + x
6
6×<u>1</u>=6×8+6×x
6
1=48+6x
1-48=6x
<u>-</u><u>4</u><u>7</u>=<u>6</u><u>x</u>
6. 6 x = -7 <u>5</u>
6
x is equal to minus seven whole number five divided by six.
Answer:
18
Step-by-step explanation:
note when dividing the denominator and numerators changes position so when it changes it will be 3×6=18
Answer:
The awnser is 176
Step-by-step explanation:
i have taken the test and got a 90 on it so yea
