the employee earned $1813 from Nachos
Explanation:
The theater's popcorn sales is inversely proportional to nacho sales
Let theater's popcorn = P
nacho sales = N
![P\text{ }\alpha\text{ }\frac{1}{N}](https://tex.z-dn.net/?f=P%5Ctext%7B%20%7D%5Calpha%5Ctext%7B%20%7D%5Cfrac%7B1%7D%7BN%7D)
Equating the relationship:
![\begin{gathered} P\text{ = k(}\frac{1}{N}) \\ P\text{ = }\frac{k}{N} \\ \text{where k = constant of proportionality} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%5Ctext%7B%20%3D%20k%28%7D%5Cfrac%7B1%7D%7BN%7D%29%20%5C%5C%20P%5Ctext%7B%20%3D%20%7D%5Cfrac%7Bk%7D%7BN%7D%20%5C%5C%20%5Ctext%7Bwhere%20k%20%3D%20constant%20of%20proportionality%7D%20%5Cend%7Bgathered%7D)
when theater sales = $2,254
Nacho sales = $1,628
![\begin{gathered} 2254\text{ =}\frac{k}{1628} \\ k\text{ = 2254(1628)} \\ k\text{ = 3}669512 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202254%5Ctext%7B%20%3D%7D%5Cfrac%7Bk%7D%7B1628%7D%20%5C%5C%20k%5Ctext%7B%20%3D%202254%281628%29%7D%20%5C%5C%20k%5Ctext%7B%20%3D%203%7D669512%20%5Cend%7Bgathered%7D)
The relationship becomes:
![P\text{ = }\frac{3669512}{N}](https://tex.z-dn.net/?f=P%5Ctext%7B%20%3D%20%7D%5Cfrac%7B3669512%7D%7BN%7D)
When cost of the theater popcorn = $2,024
The cost from nachos = ?
We would use the relationship to get the above:
![\begin{gathered} 2024\text{ = }\frac{3669512}{N} \\ 2024N\text{ = 3669512}18 \\ N\text{ = }\frac{\text{3669512}}{2024} \\ N\text{ = }1813 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202024%5Ctext%7B%20%3D%20%7D%5Cfrac%7B3669512%7D%7BN%7D%20%5C%5C%202024N%5Ctext%7B%20%3D%203669512%7D18%20%5C%5C%20N%5Ctext%7B%20%3D%20%7D%5Cfrac%7B%5Ctext%7B3669512%7D%7D%7B2024%7D%20%5C%5C%20N%5Ctext%7B%20%3D%20%7D1813%20%5Cend%7Bgathered%7D)
Hence, the employee earned $1813 from Nachos
Answer:
Step-by-step explanation:
Only one of them has a < b in ax² + by² = c formula, making its graph horizontal
All the rest are vertical, see attached
Answer:
5
Step-by-step explanation:
7.25y = 36.25. (after adding 15 on both sides)
Then divide by 7.25 and it should come out to 5. Hope this helps! :D
Answer:
3w - 9/2 is the equivalent expression