Answer:
Moira didn't add
to both sides of the equation in the fourth step she applied (this is:
).
She can correct it applying the Addition property of equality and add
to both sides of the equation then she must apply the Division property of equality (See the procedure below).
Step-by-step explanation:
Given the equation:
![12x + 10 = 54 - 10x](https://tex.z-dn.net/?f=12x%20%2B%2010%20%3D%2054%20-%2010x)
The steps to solve it are:
1. According to the Subtraction property of equality, you we can subtract 10 from both sides of the equation:
![12x + 10-10 = 54 - 10x-10\\\\12x = 44 - 10x](https://tex.z-dn.net/?f=12x%20%2B%2010-10%20%3D%2054%20-%2010x-10%5C%5C%5C%5C12x%20%3D%2044%20-%2010x)
2. Based on the Addition property of equality, you we can add
to both sides of the equation:
![12x +10x= 44 - 10x+10x\\\\22x=44](https://tex.z-dn.net/?f=12x%20%2B10x%3D%2044%20-%2010x%2B10x%5C%5C%5C%5C22x%3D44)
3. Finally, applying the Division property of equality, we must divide both sidesby 22:
![\frac{22x}{2}=\frac{44}{22}\\\\x=2](https://tex.z-dn.net/?f=%5Cfrac%7B22x%7D%7B2%7D%3D%5Cfrac%7B44%7D%7B22%7D%5C%5C%5C%5Cx%3D2)
Therefore, she made an error in fourth step she applied:
Because she didn't add
to both sides of the equation.
She can correct it applying the Addition property of equality and add
to both sides of the equation and then she must apply the Division property of equality (As you can observe in the procedure shown above).
Answer:
It should be 261 degrees.
Step-by-step explanation:
Answer:
180°
Step-by-step explanation:
the 3 interior angles of a triangle add up to 180°
The rage for a straight line graph is:
y€R(-♾ ; ♾)
The domain for a straight line graph is:
x€R(-♾; ♾)
There were no numbers in your graph so I gave you the standard from for the domain and range of a straight line graph
Hope this helps :)
Answer:
The predicted value of the year 18 is 107
Step-by-step explanation:
create a scatter plot for year and mean variables.
(<em>i have done that with Microsoft excel check the attachment from 1-3)</em>
Least square regression equation:
y = 9.3187x - 61.121
Predicted value of the lean 18
y = 9.3187 x (18) - 61.121
y = 107
The predicted value of the year 18 is 107