Let <em>V</em> be the volume of the tank. The inlet pipe fills the tank at a rate of
<em>V</em> / (5 hours) = 0.2<em>V</em> / hour
and the outlet pipe drains it at a rate of
<em>V</em> / (8 hours) = 0.125<em>V</em> / hour
With both valves open, the net rate of water entering the tank is
(0.2<em>V</em> - 0.125<em>V </em>) / hour = 0.075<em>V</em> / hour
If <em>t</em> is the time it takes for the tank to be full, then
(0.075<em>V</em> ) / hour • <em>t</em> = <em>V</em>
Solve for <em>t</em> :
<em>t</em> = <em>V</em> / ((0.075<em>V</em> ) / hour)
<em>t</em> = 1/0.075 hour
<em>t</em> ≈ 13.333 hours
Answer:
Hi! your answer is A. -7/8x-3/2
Step-by-step explanation:
to find the slope of the line (-7/8) you count the x and y difference between the 2 points. It goes down 7 and right 8 units.
to find the y-intercept you just take it from the graph. The line crosses the y-axis at y=-3/2.
Given that the equation of the line is:
y=-18x-2
the equation is in the form of y=mx+c, where m is the slope. Thus the slope of equation is -18. The line perpendicular to this equation has a slope of 1/18, hence the equation will be given by the formula:
m(x-x1)=y-y1
given that the line passes through point (-2,-3) the equation of the line will be:
1/18(x--2)=y-(-3)
1/18(x+2)=y+3
simplifying this gives us:
y=1/18x+1/9+3
y=1/18x6+3 1/9
Answer:
The answer is 200.96 cm^2.
2*3.14*r=50.24
=>r=50.24/6.28
=>r=8 cm
Thus area = 3.14*r*r
= 3.14*8*8
=200.96 cm^2
Step-by-step explanation:
2 quarters= 50 cents
1 dime= 10 cents
5 nickels=25 cents
1 penny= 1 cent
