Answer:
90
Step-by-step explanation:
Create an equation where all the numbers are added together and divided by 6 to equal 80:
![\frac{72+86+92+63+77+x}{6} = 80](https://tex.z-dn.net/?f=%5Cfrac%7B72%2B86%2B92%2B63%2B77%2Bx%7D%7B6%7D%20%3D%2080)
Simplify and solve for x:
![\frac{390 + x}{6} = 80](https://tex.z-dn.net/?f=%5Cfrac%7B390%20%2B%20x%7D%7B6%7D%20%3D%2080)
![390 + x = 480](https://tex.z-dn.net/?f=390%20%2B%20x%20%3D%20480)
![x = 90](https://tex.z-dn.net/?f=x%20%3D%2090)
Answer:
Option B.
Step-by-step explanation:
The given equation is
We need to find the property of equality to move the constant term to the right side of the equation.
In the given equation 6 is the constant term on the left side.
Using subtraction property of equality, subtract 6 from both sides.
So, the appropriate property of equality to move the constant term to the right side of the equation is Subtraction Property of Equality.
Therefore, the correct option is B.
X = 4629 * tan(5) = 404.98 ≈ 405.
The correct answer would be 405.
Answer:
and ![y=8](https://tex.z-dn.net/?f=y%3D8)
Step-by-step explanation:
Given:
Equation 1:
![500y-600x=2800](https://tex.z-dn.net/?f=500y-600x%3D2800)
Simplifying the above equation by dividing both sides by 100
![\frac{500y-600x}{100}=\frac{2800}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B500y-600x%7D%7B100%7D%3D%5Cfrac%7B2800%7D%7B100%7D)
![\frac{500y}{100}-\frac{600x}{100}=28\\\\5y-6x=28](https://tex.z-dn.net/?f=%5Cfrac%7B500y%7D%7B100%7D-%5Cfrac%7B600x%7D%7B100%7D%3D28%5C%5C%5C%5C5y-6x%3D28)
Equation 2:
![400y-400x=2400](https://tex.z-dn.net/?f=400y-400x%3D2400)
Simplifying the above equation by dividing both sides by 400.
![\frac{400y-400x}{400}=\frac{2400}{400}](https://tex.z-dn.net/?f=%5Cfrac%7B400y-400x%7D%7B400%7D%3D%5Cfrac%7B2400%7D%7B400%7D)
![\frac{400y}{400}-\frac{400x}{400}=6\\\\y-x=6](https://tex.z-dn.net/?f=%5Cfrac%7B400y%7D%7B400%7D-%5Cfrac%7B400x%7D%7B400%7D%3D6%5C%5C%5C%5Cy-x%3D6)
Now the system of equation is:
(1a) ![5y-6x=28](https://tex.z-dn.net/?f=5y-6x%3D28)
(2a) ![y-x=6](https://tex.z-dn.net/?f=y-x%3D6)
Solving by elimination
Multiplying equation (2a) with ![-5](https://tex.z-dn.net/?f=-5)
![-5(y-x)=-5\times 6](https://tex.z-dn.net/?f=-5%28y-x%29%3D-5%5Ctimes%206)
(2b) ![-5y+5x=-30](https://tex.z-dn.net/?f=-5y%2B5x%3D-30)
Adding equations (1a) and (2b) in order to eliminate ![y](https://tex.z-dn.net/?f=y)
![5y-6x=28](https://tex.z-dn.net/?f=5y-6x%3D28)
+ ![-5y+5x=-30](https://tex.z-dn.net/?f=-5y%2B5x%3D-30)
We get ![-x=-2](https://tex.z-dn.net/?f=-x%3D-2)
∴ ![x=2](https://tex.z-dn.net/?f=x%3D2)
Plugging
in equation (2a).
![y-2=6](https://tex.z-dn.net/?f=y-2%3D6)
Adding
both sides.
![y-2+2=6+2](https://tex.z-dn.net/?f=y-2%2B2%3D6%2B2)
∴ ![y=8](https://tex.z-dn.net/?f=y%3D8)
Think about it. The 80 is the y-intercept meaning that is the starting point or starting height where the rocket is launched from. The purpose of the expression is to show the height of the rocket over time.