What's one-sixth of 1/2
2 answers:
You might be interested in
Answer:
Number of hot dogs sold = 56
Number of hamburgers sold = 52
Step-by-step explanation:
Let
Number of hot dogs sold = x
Number of hamburgers sold = y
We can make equation from given equations:
(Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )
(Together you sold 108 hot dogs and hamburgers.)
Now we cam solve these system of equations to find value of x and y
Subtract both equations to get value of x:
We get value of x = 56
Now putting value of x in equation 2 to find value of y
So, we get y = 52
Therefore,
Number of hot dogs sold = x = 56
Number of hamburgers sold = y = 52
This ODE isn't of Bernoulli type, but it is linear, so we should be able to find an integrating factor to solve it.
The integrating factor will be
Multiplying both sides of the ODE by the IF gives
![\dfrac{\mathrm d}{\mathrm dx}[x^2y]=x^3\log x](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Bx%5E2y%5D%3Dx%5E3%5Clog%20x)
Integrate the right hand side by parts to get
The integrating factor will be
Multiplying both sides of the ODE by the IF gives
Integrate the right hand side by parts to get