Answer:
x=6
15x - 24 = 1/3x + 4 + 10x
=
45x - 72 = x + 12 + 30x
=
45x - 72 = 31x + 12
=
45x - 31x = 12 + 72
=
14x = 84
=
x = 6
Answer:
3/4*x - 3/4*8=12
3/4x -6=12
3/4x=12+6
3/4x=18
x=24
Step-by-step explanation:
multiply 3/4 into the content inside the brackets
have -3/4*8 cross the equal sign changing its sign from - to +
divide both sides by 3/4
Answer:
1/5
Step-by-step explanation:
Use Pythagoras theorem
<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>
