A=1/10, b=1/12, c=1/15 (these are the rates for each worker...)
1.)
2(1/10)+4(1/12)+t/15=1
1/5+1/3+t/15=1
(3+5+t)/15=1
3+5+t=15
8+t=15
t=7
So it would take c 7 hours to finish the job.
2.)
1/40-1/60
(3-2)/120
1/120
The drain rate is 1/60. So you will need to find t when the tank is empty, while starting at 2/3 capacity...
2/3-t/60=0
(40-t)/60=0
40-t=0
t=40
It would take 40 minutes to empty the tank when it is 2/3 full.
Answer:
y = (2/7)x -12
Step-by-step explanation:
y = mx + b is the standard form of an equation of a straight line in which m is the slope and b is the y-intercept (the value of y when x is zero)..
<u>m</u>=(2/7) and <u>b</u> = -12
y = <u>m</u>x + <u>b</u>
y = (<u>2/7</u>)x <u>-12</u>
