Answer:
Natalia's work is wrong.
Step-by-step explanation:
Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:
1) 
Given.
2) 
Definition of addition.
3) 
Distributive property.
4) 
Definitions of multiplication and decimal number.
5) ![x = 72 +[2\cdot (10)^{-1}]\cdot 12](https://tex.z-dn.net/?f=x%20%3D%2072%20%2B%5B2%5Ccdot%20%2810%29%5E%7B-1%7D%5D%5Ccdot%2012)
Definition of division/Associative property.
6) ![x = 72 + [2\cdot 12]\cdot (10)^{-1}](https://tex.z-dn.net/?f=x%20%3D%2072%20%2B%20%5B2%5Ccdot%2012%5D%5Ccdot%20%2810%29%5E%7B-1%7D)
Associative property.
7) 
Definition of multiplication.
8) 
Definition of divsion.
9) 
Defintion of decimal number.
10) 
Definition of addition/Result
Natalia's work is wrong.
Answer:
Subtract property of deviation becasue your subtracting 6y frrom both sides of the equation.
Step-by-step explanation:
1)Given: 12y - 40 - 4y = 6y - 18
2)Simplify by adding 12y + (-4y): 8y - 40 = 6y - 18
3)Subtract property of deviation: 8y -6y - 40 = 6y -6y - 18
2y - 40 = -18
<em>Hope this helped!</em>
Answer: 9xy−16.3x−10.2
Step-by-step explanation:
Distribute:
=0.95x+−9+9xy+−18x+(−0.25)(−3x)+(−0.25)(4.8)
=0.95x+−9+9xy+−18x+0.75x+−1.2
Combine Like Terms:
=0.95x+−9+9xy+−18x+0.75x+−1.2
=(9xy)+(0.95x+−18x+0.75x)+(−9+−1.2)
=9xy+−16.3x+−10.2
126,945 to the nearest ten thousand is 130,000.
