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:
Step 1
Write and solve the inequality:
2,500 + 40a ≥ 4,000, or 40a ≥ 1,500
a ≥ 37.5
Step 2
If the shelter places 30 cats and 10 dogs,
or 40 animals, that will be enough to meet
its goal, because a = 40 is a solution to the
inequality a ≥ 37.5.
Answer:
Jake scored more on the spelling quiz. 80% is more than 68% so therefore he scored more on the quiz. To find 80% and 68%, you can use a percent of proportion or divide and multiply by 100.
Step-by-step explanation:
To find the percent of a score, you divide.
17/25 (division) = 0.68
0.68 is a decimal so to make it a percent you multiply by 100 = 68%
Or you can do it with fractions:
17/25 = ?/100: 68
16/20 = 0.8
Again, 0.8 times 100 = 80%
Or you can do it with fractions:
16/20 = ?/100: 80
He scored more on the spelling quiz, I hope this helps (justification on the answer).
