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: -9.1
Explanation
-3x +12.4=39.7
First minus 12.4 from both sides
-3x +12.4=39.7
-12.4 -12.4
-3x=27.3
Now devid both sides by -3
X= -9.1
Answer:
y= -3y - 1/3x
Step-by-step explanation:
-2(x + 3y) = 18 Distribute the -2 to the x + 3y
-2x - 6y = 18
+2x +2x Add the 2x to both sides
-6y = 18 + 2x Divide both sides by -6
y= -3y - 1/3x
Answer:
523.333333333
Step-by-step explanation:
Using the formula 4/3πr³:
(4/3)(3.14)(5^3)
Hope this helps :)
Find answer is the given attachment
