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Answer:
The system of equations is :
Equation 1- ![5x+2y=50](https://tex.z-dn.net/?f=5x%2B2y%3D50)
Equation 2- ![x+2y=30](https://tex.z-dn.net/?f=x%2B2y%3D30)
Number of vinyl doghouse = 5
Number of treated lumber doghouse =12.5
Step-by-step explanation:
Let x be the number of vinyl doghouses
y be the number of treated lumber doghouses
→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.
Equation 1- ![5x+2y=50](https://tex.z-dn.net/?f=5x%2B2y%3D50)
→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.
Equation 2- ![x+2y=30](https://tex.z-dn.net/?f=x%2B2y%3D30)
→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.
Subtract equation 2 from equation 1
![5x+2y-x-2y=50-30](https://tex.z-dn.net/?f=5x%2B2y-x-2y%3D50-30)
![4x=20](https://tex.z-dn.net/?f=4x%3D20)
![x=\frac{20}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B20%7D%7B4%7D)
![x=5](https://tex.z-dn.net/?f=x%3D5)
Put value of x in equation 2
![x+2y=30](https://tex.z-dn.net/?f=x%2B2y%3D30)
![5+2y=30](https://tex.z-dn.net/?f=5%2B2y%3D30)
![2y=25](https://tex.z-dn.net/?f=2y%3D25)
![y=\frac{25}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B25%7D%7B2%7D)
![y=12.5](https://tex.z-dn.net/?f=y%3D12.5)
Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5
Answer:
2
Step-by-step explanation:
m - 5 • n + 5
plug it in
27- 5 * 4+5
well, we gotta follow PEMDAS (there are no parentheses)
5*4
20
now we have
27-20+5
20+5
25
27-25
2
Answer:
The answer is c
Step-by-step explanation:
The middle line is in the same spot