The answer is C, trust me.
It takes 107.692 minutes approximately to fill the pond
<em><u>Solution:</u></em>
Given that inlet pipe can fill an artificial pond in 70 min
So the inlet pipe can fill
of the pond in 1 min
An outlet pipe can empty the same pond in 200 min
So the outlet pipe can empty
of pond in 1 min
Here negative sign denotes "empties the pond"
To find: With both pipe open, time taken to fill the pond
Let "x" be the time taken by pipes to fill the pond
With both pipes are left on, so together their rate is:
![\frac{1}{x} = \frac{1}{70} - \frac{1}{200}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B70%7D%20-%20%5Cfrac%7B1%7D%7B200%7D)
On solving,
![\frac{1}{x} = \frac{200 - 70}{14000}\\\\\frac{1}{x} = \frac{130}{14000}\\\\x = \frac{14000}{130} = 107.692](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B200%20-%2070%7D%7B14000%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B130%7D%7B14000%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B14000%7D%7B130%7D%20%3D%20107.692)
Thus it takes 107.692 minutes approximately to fill the pond
Reduce the expression 54/12 by cancelling the common factors
9/2
the result of division 9/2 is 4 with a remainder of 1
answer: 4 R1
Answer:
c
Step-by-step explanation:
For this case we have the following function:
![y = 5-x](https://tex.z-dn.net/?f=y%20%3D%205-x)
We look for the points of intersection with the x axis, doing y = 0
![0 = 5-x\\x = 5](https://tex.z-dn.net/?f=0%20%3D%205-x%5C%5Cx%20%3D%205)
We look for the points of intersection with the y axis, doing x = 0
![y = 5-0\\y = 5](https://tex.z-dn.net/?f=y%20%3D%205-0%5C%5Cy%20%3D%205)
We can also observe that the slope is -1.
![y = mx + b\\y = -x + 5](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b%5C%5Cy%20%3D%20-x%20%2B%205)
Answer:
See attached image