Answer:
(627.50-95)/m
Step-by-step explanation:
The total value of money earned was $627.50. Then subtract the amount of money the popcorn cost, $95.00. This subtraction would make the difference of $532. This equation would be in parentheses because you have to get the difference before you can divide the profits among the club members. After you put that into parentheses, divide the difference by M. This will give you the equation (627.50-95.00)/m hope this helps!
Answer:
Incident ray, the reflection ray and the normal to thereflection surface at the point of the incidence lie in the same plane
Answer:
Therefore the concentration of salt in the incoming brine is 1.73 g/L.
Step-by-step explanation:
Here the amount of incoming and outgoing of water are equal. Then the amount of water in the tank remain same = 10 liters.
Let the concentration of salt be a gram/L
Let the amount salt in the tank at any time t be Q(t).
![\frac{dQ}{dt} =\textrm {incoming rate - outgoing rate}](https://tex.z-dn.net/?f=%5Cfrac%7BdQ%7D%7Bdt%7D%20%3D%5Ctextrm%20%7Bincoming%20rate%20-%20outgoing%20rate%7D)
Incoming rate = (a g/L)×(1 L/min)
=a g/min
The concentration of salt in the tank at any time t is =
g/L
Outgoing rate =
![\frac{Q(t)}{10} g/min](https://tex.z-dn.net/?f=%5Cfrac%7BQ%28t%29%7D%7B10%7D%20g%2Fmin)
![\frac{dQ}{dt} = a- \frac{Q(t)}{10}](https://tex.z-dn.net/?f=%5Cfrac%7BdQ%7D%7Bdt%7D%20%3D%20a-%20%5Cfrac%7BQ%28t%29%7D%7B10%7D)
![\Rightarrow \frac{dQ}{10a-Q(t)} =\frac{1}{10} dt](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7BdQ%7D%7B10a-Q%28t%29%7D%20%3D%5Cfrac%7B1%7D%7B10%7D%20dt)
Integrating both sides
![\Rightarrow \int \frac{dQ}{10a-Q(t)} =\int\frac{1}{10} dt](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cint%20%5Cfrac%7BdQ%7D%7B10a-Q%28t%29%7D%20%3D%5Cint%5Cfrac%7B1%7D%7B10%7D%20dt)
[ where c arbitrary constant]
Initial condition when t= 20 , Q(t)= 15 gram
![\Rightarrow -log|10a-15|=\frac{1}{10}\times 20 +c](https://tex.z-dn.net/?f=%5CRightarrow%20-log%7C10a-15%7C%3D%5Cfrac%7B1%7D%7B10%7D%5Ctimes%2020%20%2Bc)
![\Rightarrow -log|10a-15|-2=c](https://tex.z-dn.net/?f=%5CRightarrow%20-log%7C10a-15%7C-2%3Dc)
Therefore ,
.......(1)
In the starting time t=0 and Q(t)=0
Putting t=0 and Q(t)=0 in equation (1) we get
![- log|10a|= -log|10a-15| -2](https://tex.z-dn.net/?f=-%20log%7C10a%7C%3D%20-log%7C10a-15%7C%20-2)
![\Rightarrow- log|10a|+log|10a-15|= -2](https://tex.z-dn.net/?f=%5CRightarrow-%20log%7C10a%7C%2Blog%7C10a-15%7C%3D%20-2)
![\Rightarrow log|\frac{10a-15}{10a}|= -2](https://tex.z-dn.net/?f=%5CRightarrow%20log%7C%5Cfrac%7B10a-15%7D%7B10a%7D%7C%3D%20-2)
![\Rightarrow |\frac{10a-15}{10a}|=e ^{-2}](https://tex.z-dn.net/?f=%5CRightarrow%20%7C%5Cfrac%7B10a-15%7D%7B10a%7D%7C%3De%20%5E%7B-2%7D)
![\Rightarrow 1-\frac{15}{10a} =e^{-2}](https://tex.z-dn.net/?f=%5CRightarrow%201-%5Cfrac%7B15%7D%7B10a%7D%20%3De%5E%7B-2%7D)
![\Rightarrow \frac{15}{10a} =1-e^{-2}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B15%7D%7B10a%7D%20%3D1-e%5E%7B-2%7D)
![\Rightarrow \frac{3}{2a} =1-e^{-2}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B3%7D%7B2a%7D%20%3D1-e%5E%7B-2%7D)
![\Rightarrow2a= \frac{3}{1-e^{-2}}](https://tex.z-dn.net/?f=%5CRightarrow2a%3D%20%5Cfrac%7B3%7D%7B1-e%5E%7B-2%7D%7D)
![\Rightarrow a = 1.73](https://tex.z-dn.net/?f=%5CRightarrow%20a%20%3D%201.73)
Therefore the concentration of salt in the incoming brine is 1.73 g/L
Answer:
p - w = $25 OR w + $25 = p
Step-by-step explanation:
pencil = p
pen = w
p - w = $25 OR w + $25 = p
29% would be the answer if you are rounding up