Answer:
x = 11
Step-by-step explanation:
6x - 21 = 3x + 12
6x - 3x = 21 + 12
3x = 33
x = 33/3
x = 11
Answer:
18 hours
Step-by-step explanation:
The unit rate of intake pipe is 
[1 tank in 6 hours]
The total unit rate (combined) when 2 work together is 
[1 tank in 9 hours]
Intake fills up and outlet empties. Thus we can say:
Rate of Intake - Rate of Outlet = Combined Rate
This becomes:
Where x is the rate of outlet pipe [what we are looking for]
Doing algebra we solve for x:
This means "outlet pipe can empty 3 tanks in 54 hours". So that would mean 54/3 = 18 hours to empty 1 tank
Assuming the wire starts at x=0, the first point is (0,-4) since using y = 3x - 4 :
3(0) - 4 = -4
the two points are (0,4) and (-3,4)
since the y values are the same, the distance is the positive difference between the x values:
-3 - 0 = -3
then,
the distance is 3 meters
each meter costs $125, so multiply the cost by the amount of meters to find the total:
125 x 3 = 375
the total cost is $375
-- At 11 AM, when Mel starts out, Juan has already covered 60 miles.
-- After that, since they're traveling in opposite directions, the distance
between them increases (60 + 50) = 110 miles every hour.
Let's call 'H' the number of hours after 11 AM.
Then the distance between them is
D = 110H + 60
When is this distance 830 miles ? Wouldn't you like to know !
830 = 110H + 60
Subtract 60 from each side:
770 = 110H
Divide each side by 110 :
H = 770 / 110 = 7 .
It happens 7 hours after 11 AM.
That would be <u>6:00 PM</u> .
