N(3)-8=16
add 8 to both sides
3n=24
Divide each side by three
n=8
The best and the most correct answer among the choices provided by the question is the third choice. The table that best represents direct variation is:
<span>Input x 3 4 5
Output y 9 16 25
</span>I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
![\large\boxed{y\in(-6,\ \infty)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%5Cin%28-6%2C%5C%20%5Cinfty%29%7D)
Step-by-step explanation:
![(1)\\2y-2>-14\qquad\text{add 2 to both sides}\\\\2y-2+2>-14+2\\\\2y>-12\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}>\dfrac{-12}{2}\\\\y>-6](https://tex.z-dn.net/?f=%281%29%5C%5C2y-2%3E-14%5Cqquad%5Ctext%7Badd%202%20to%20both%20sides%7D%5C%5C%5C%5C2y-2%2B2%3E-14%2B2%5C%5C%5C%5C2y%3E-12%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%202%7D%5C%5C%5C%5C%5Cdfrac%7B2y%7D%7B2%7D%3E%5Cdfrac%7B-12%7D%7B2%7D%5C%5C%5C%5Cy%3E-6)
![(2)\\\\4y-4\geq12\qquad\text{add 4 to both sides}\\\\4y-4+4\geq12+4\\\\4y\geq16\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}\geq\dfrac{16}{4}\\\\y\geq4](https://tex.z-dn.net/?f=%282%29%5C%5C%5C%5C4y-4%5Cgeq12%5Cqquad%5Ctext%7Badd%204%20to%20both%20sides%7D%5C%5C%5C%5C4y-4%2B4%5Cgeq12%2B4%5C%5C%5C%5C4y%5Cgeq16%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%204%7D%5C%5C%5C%5C%5Cdfrac%7B4y%7D%7B4%7D%5Cgeq%5Cdfrac%7B16%7D%7B4%7D%5C%5C%5C%5Cy%5Cgeq4)
![\text{From (1) and (2) we have:}\\\\y>-6\ or\ y\geq4\to y\in(-6,\ \infty)\ \cup\ [4,\ \infty)\Rightarrow y\in(-6,\ \infty)](https://tex.z-dn.net/?f=%5Ctext%7BFrom%20%281%29%20and%20%282%29%20we%20have%3A%7D%5C%5C%5C%5Cy%3E-6%5C%20or%5C%20y%5Cgeq4%5Cto%20y%5Cin%28-6%2C%5C%20%5Cinfty%29%5C%20%5Ccup%5C%20%5B4%2C%5C%20%5Cinfty%29%5CRightarrow%20y%5Cin%28-6%2C%5C%20%5Cinfty%29)
The lowest common denominator for 8 and 12 is 24. So you would need 3 packages of hotdogs and 2 packages of buns.
50/1000 = 0.05 times is the answer