Answer:
The system of equations is :
Equation 1- 
Equation 2- 
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- 
→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- 
→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.
Subtract equation 2 from equation 1




Put value of x in equation 2





Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5
Answer:
The lines don't intercept
Step-by-step explanation:
we have

isolate the variable y
Divide by 3 both sides

simplify
-----> equation A

Isolate the variable y

Divide by 6 both sides

simplify
-----> equation B
Compare equation A and equation B
The slopes are the same and the y-intercepts are different
Remember that
If two lines has the same slope, then the lines are parallel
therefore
In this problem line A and line B are parallel lines
The system of equations has no solution, because the lines don't intercept
Answer:
So they have a 24 dollar design fee, and 2 dollars per hat. You have to calculate the cost of 4 hats that are 2 dollars each, plus the design fee of 24 dollars
Step-by-step explanation:
Answer:
The constant is 10 for every 1 seconds the time traveled is 10 meters
Step-by-step explanation: