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.
Let x represent the number of type A table and y represent the number of type B tables.
Minimize: C = 265x + 100y
Subject to: x + y ≤ 40
25x + 13y ≥ 760
x ≥ 1, y ≥ 1
From, the graph the corner points are (20, 20), (39, 1), (30, 1)
For (20, 20): C = 265(20) + 100(20) = $7,300
For (39, 1): C = 265(39) + 100 = $10,435
For (30, 1): C = 265(30) + 100 = $8,050
Therefore, for minimum cost, 20 of type A and 20 of type B should be ordered.
To find the mean of the data, you will combine all values together and then spread them all out evenly to create one value that represents the data.
In math this involves adding the data together and then dividing the sum by how many pieces of data there are.
682 + 601 + 744 + 674 + 701 + 790 + 676 + 638 + 773 = 6279
6279/9 = 697.66...
The rounded credit score is 698 (Choice A).
Answer:
quotient=2,731
Remainder=0
Step-by-step explanation:
893) 2,438,783 (2,731
- 1 786
---------
6527
- 6251
---------
2768
- 2679
-----------
893
- 893
---------
0
There are 2 red marbles and 3 blue marbles, with a total of 5 marbles in the bag.
When Jonathan chooses a marble, we are saying that he is choosing the marble randomly.
Let's make a fraction. We want to know the chance of picking one of the 2 red marbles among all 5 marbles.
Divide 2 by 5
2/5
That's already a simplified fraction. If you want to convert this into decimal and into percentage, you would get
2/5
= 0.4
= 40%
Those are all acceptable answers.
Have an awesome day! :)
