Answer:
57 mph
Step-by-step explanation:
Let b represent Bob's speed on the trip. Then his time is ...
time = distance/speed
Bob's time = 230/b
Then John's speed is b+8, and his time is ...
John's time = 230/(b+8)
The difference of their times is 1/2 hour:
Bob's time - John's time = 1/2
230/b -230/(b+8) = 1/2 . . . substitute the expressions for time
460(b+8 -b) = b(b+8) . . . . . multiply by 2b(b+8)
b^2 +8b -3680 = 0 . . . . . . .put in standard form
(b +4)^2 -3696 = 0 . . . . . . . add 16-16 to complete the square
b = -4 +√3696 ≈ 56.795 . . . solve for positive b
Bob's drove about 57 mph on the trip.
Answer:
This is proportional
Step-by-step explanation:
Your slope is 2 each time. To find slop you do rise/run. go to a dot and go up 2 and over 1. Simplify that and you get a slope of 2. Keep doing that for each point then you can determine if it is proportional or not. In this case it is. Hope this helps :)
Three hundred fourteen thousand ,two hundred seven
Answer:
X=7
Step-by-step explanation:
10+4x=5(x-6)+33
1. Distribute the 5 to both the x and the 6
10+4x=5x-30+33
2. Subtract 4x from 5x ( should be left with 1x but just write x)
10=x-30+33
3. add 30 to both sides (whole number on the left, x on the right)
40=x+33
4. Subtract 33 on both sides
7=x (flip it around)
x=7
