So first you need to by the chain saw and the chipper for $380. It should only take you about 9 hours to assemble it. And lets say that the 31 hours you were looking for the best of the best chain saw and chipper.
Answer: ![m=\frac{-30}{79},\ y=5.40](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-30%7D%7B79%7D%2C%5C%20y%3D5.40)
Step-by-step explanation:
Given
Points are ![\left(6\frac{1}{3},3\right),\ \left(19\frac{1}{2},-2\right)](https://tex.z-dn.net/?f=%5Cleft%286%5Cfrac%7B1%7D%7B3%7D%2C3%5Cright%29%2C%5C%20%5Cleft%2819%5Cfrac%7B1%7D%7B2%7D%2C-2%5Cright%29)
Convert mixed numeral to fraction
![\left(6\frac{1}{3},3\right)\Rightarrow \left(\dfrac{19}{3},3\right)\\\\\left(19\frac{1}{2},-2\right)\Rightarrow \left(\dfrac{39}{2},-2\right)](https://tex.z-dn.net/?f=%5Cleft%286%5Cfrac%7B1%7D%7B3%7D%2C3%5Cright%29%5CRightarrow%20%5Cleft%28%5Cdfrac%7B19%7D%7B3%7D%2C3%5Cright%29%5C%5C%5C%5C%5Cleft%2819%5Cfrac%7B1%7D%7B2%7D%2C-2%5Cright%29%5CRightarrow%20%5Cleft%28%5Cdfrac%7B39%7D%7B2%7D%2C-2%5Cright%29)
Slope of the line is
![\Rightarrow m=\dfrac{3-(-2)}{\dfrac{19}{3}-\dfrac{39}{2}}\\\\\Rightarrow m=\dfrac{5}{\dfrac{38-117}{6}}\\\\\Rightarrow m=\dfrac{-30}{79}](https://tex.z-dn.net/?f=%5CRightarrow%20m%3D%5Cdfrac%7B3-%28-2%29%7D%7B%5Cdfrac%7B19%7D%7B3%7D-%5Cdfrac%7B39%7D%7B2%7D%7D%5C%5C%5C%5C%5CRightarrow%20m%3D%5Cdfrac%7B5%7D%7B%5Cdfrac%7B38-117%7D%7B6%7D%7D%5C%5C%5C%5C%5CRightarrow%20m%3D%5Cdfrac%7B-30%7D%7B79%7D)
Equation of line
![\Rightarrow \dfrac{y-3}{x-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\text{for y-intercept, put x=0}\\\\\Rightarrow \dfrac{y-3}{0-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\Rightarrow y-3=\dfrac{190}{79}\\\\\Rightarrow y=3+2.40\\\Rightarrow y=5.40](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7By-3%7D%7Bx-%5Cdfrac%7B19%7D%7B3%7D%7D%3D%5Cdfrac%7B-30%7D%7B79%7D%5C%5C%5C%5C%5Ctext%7Bfor%20y-intercept%2C%20put%20x%3D0%7D%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7By-3%7D%7B0-%5Cdfrac%7B19%7D%7B3%7D%7D%3D%5Cdfrac%7B-30%7D%7B79%7D%5C%5C%5C%5C%5CRightarrow%20y-3%3D%5Cdfrac%7B190%7D%7B79%7D%5C%5C%5C%5C%5CRightarrow%20y%3D3%2B2.40%5C%5C%5CRightarrow%20y%3D5.40)
Step-by-step explanation:
x=c-y. / x=py/q
y=c-x. / y=xq/p
The price of each shirt is $29 and the price of each sweater is $53 :)