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:
x-intercept equals 10
interpretation is that, after 10 hours, all of the snow will be melted
Step-by-step explanation:
Answer:
<em>2/3 of the jar was filled with flour</em>
Step-by-step explanation:
The question is incomplete. Here is the complete question.
<em>A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.</em>
<em />
Given
<em>Amount a jar can hold a = 3/4 of a pound of flour</em>
<em />
<em>If Austin empties 1/2 of a pound of flour into the jar, then the amount emptied into the jar b = 1/2 pounds</em>
<em />
<em>Fraction of jar filled will be expressed as b/a as shown;</em>
<em>b/a = (1/2)/(3/4)</em>
<em>b/a = 1/2 ÷ 3/4</em>
<em>b/a = 1/2 * 4/3</em>
<em>b/a = 4/6</em>
<em>Simplify to the lowest term</em>
<em>a/b = 2*2/2*3</em>
<em>a/b = 2/3</em>
<em />
<em>Hence 2/3 of the jar was filled with flour</em>
The value is 1/62
if it is wrong I am sorry but it should be
