Answer:
c=2
Step-by-step explanation:
7-4c=3c-7
7+7=3c+4c
14=7c
Dividing both sides by 7
c=2
CHECK:
Putting c in the above equation
7-4(2)=3(2)-7
7-8=6-7
-1=-1
Hence the above solution satisfies the given equation
From the beginning we know we are dealing with two different rates. Distance is equal to (Speed X Time). We have two different speeds though. We will call the min speed = x and the max speed = y. With those two ideas in place we can make two equations for both Tony and Rae.
Tony:
2x+3.5y=355
Rae:
2x+3y=320
Now you can solve the equations by subtracting Rae's equation from Tony's
.5y=35 solve for y and you get 70
Now plug that y value back into either equation and you can solve for x. I'll use Rae's distance:
2x+3(70)=320
x=55
It will definitely be a positive
Mathematically, that is 12(8+t). Distribute the 12, and you get 96 + 12t, or 12t + 96.