Do You have a textbook if so you can read and tell me what you learned.
Gross pay per days is 5h+8 dollars
Explanation:
we are given
total gross pay =35h+56 dollars
total number of days =7
we know that
gross pay per day = ( total gross pay)/(total number of days)
we can plug values
gross pay per day is
That's not a linear system, but you have an awesome school system for giving you this problem.
![\dfrac 5 y - \dfrac 2 x = \dfrac{13}6](https://tex.z-dn.net/?f=%20%5Cdfrac%205%20y%20-%20%5Cdfrac%202%20x%20%3D%20%5Cdfrac%7B13%7D6%20)
Multiply by 6xy to clear the fractions.
![30x - 12y = 13 xy](https://tex.z-dn.net/?f=%2030x%20-%2012y%20%3D%2013%20xy%20)
That's a second degree equation, also known as a conic. That one happens to be a hyperbola.
![30x = y(13 x +12)](https://tex.z-dn.net/?f=%2030x%20%3D%20y%2813%20x%20%2B12%29)
![y = \dfrac{30x}{13 x + 12}](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cdfrac%7B30x%7D%7B13%20x%20%2B%2012%7D)
Let's clear the fractions from the second equation, multiplying out common denominator xy:
![\dfrac {36} x - \dfrac {24} y = 1](https://tex.z-dn.net/?f=%20%5Cdfrac%20%7B36%7D%20x%20-%20%5Cdfrac%20%7B24%7D%20y%20%3D%201%20)
![36y - 24 x = xy](https://tex.z-dn.net/?f=%2036y%20-%2024%20x%20%3D%20xy)
We are being asked to find the meet of two hyperbolas, so we expect two answers, a quadratic equation.
Substituting,
![36 \left( \dfrac{30x}{13 x + 12} \right) - 24 x = x \left( \dfrac{30x}{13 x + 12} \right)](https://tex.z-dn.net/?f=36%20%5Cleft%28%20%5Cdfrac%7B30x%7D%7B13%20x%20%2B%2012%7D%20%5Cright%29%20-%2024%20x%20%3D%20x%20%5Cleft%28%20%5Cdfrac%7B30x%7D%7B13%20x%20%2B%2012%7D%20%5Cright%29)
![36(30x) -24 x(13x + 12) = 30x^2](https://tex.z-dn.net/?f=36%2830x%29%20-24%20x%2813x%20%2B%2012%29%20%3D%2030x%5E2)
![1080 x - 312 x^2- 288 x = 30x^2](https://tex.z-dn.net/?f=1080%20x%20-%20312%20x%5E2-%20288%20x%20%3D%2030x%5E2)
![x(792 - 342 x)= 0](https://tex.z-dn.net/?f=x%28792%20-%20342%20x%29%3D%200)
![x = 0 \textrm{ or } x=792/342 = \dfrac{44}{19}](https://tex.z-dn.net/?f=%20x%20%3D%200%20%5Ctextrm%7B%20or%20%7D%20x%3D792%2F342%20%3D%20%5Cdfrac%7B44%7D%7B19%7D)
We have to rule out x=0 because it's in the denominator.
![y = \dfrac{30x}{13 x + 12} = \dfrac{30(44/19)}{13(44/19)+12}](https://tex.z-dn.net/?f=y%20%3D%20%5Cdfrac%7B30x%7D%7B13%20x%20%2B%2012%7D%20%3D%20%5Cdfrac%7B30%2844%2F19%29%7D%7B13%2844%2F19%29%2B12%7D)
![y = \dfrac{33}{20}](https://tex.z-dn.net/?f=y%20%3D%20%5Cdfrac%7B33%7D%7B20%7D)
Answer: (44/19, 33/20)
Answer:
12 windows
Step-by-step explanation:
Number of windows broken = 40% of 30
![= \frac{40}{100}*30\\\\= 4 * 3\\\\= 12](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B40%7D%7B100%7D%2A30%5C%5C%5C%5C%3D%204%20%2A%203%5C%5C%5C%5C%3D%2012)