Answer:
40/13 hours
Step-by-step explanation:
Let 1 represent the room being painted.
1/5 would represent 1/5 of a room painted in 1 hour.
1/8 would represent 1/8 of a room being painted in 1 hour
But they are are working together so
(1/5)x + (1/8)x = 1
The lowest common denominator is 5 * 8 = 40
[(1/5)x * 40 + (1/8)x * 40] = 1
8x + 5x = 40
13x = 40
x = 40/13
x = 3.077 hours
But you want a fraction as your answer so it is 3 1/13 or 40/13
You should notice that 3.077 is smaller than the lowest amount of time both of them use. That always happens with these questions.
If the lines are parallel that means the slopes are the same, therefore the slope of the line that is parallel to y=-2/5x + 4/5 is
m=-2/5
