The system:
3 x + 4 y = 40
x + 6 y = 18,
-------------------
x = 18 - 6 y
3 ( 18 - 6 y ) + 4 y = 40
54 - 18 y + 4 y = 40
54 - 40 = 18 y - 4 y
14 = 14 y
y = $1
x = 18 - 6
x = $12
Answer: Each DVD costs: $12.
Answer/Step-by-step explanation
1. When adding real numbers with the same sign the sum will have the same sign as the numbers added.
2. When adding real numbers with different signs you subtract the lesser absolute value from the greater one. The sum will then have the same sign as the number with the greater absolute value.
3. There are a couple of properties of addition:
The additive commutative property tells us that the order in which you add the numbers does not change the sum.
4. And the additive associative property tells us that it also that the order in which we group three or more numbers does not affect the sum.
5. The additive identity property tells us that the sum of a number and 0 is always the number.
6. And the additive inverse property tells us that if you add a number with its opposite you will always get 0
Answer:
18
Step-by-step explanation:
6 2 1 How many ways does this produce and are they legitimate?
- 6 2 1
- 6 1 2
- 2 6 1
- 2 1 6
- 1 2 6
- 1 6 2
So any combination that you come up with, will produce 6 variations within those three choices. They are legitimate.
Lets see what you get with at most 5 estates to one person
5 3 1 Which will also give 6 variations. There are no other ways to make 5
4 3 2 Which will give 6 variations
I don't think there are any more possible choices.
Are the only 3 ways the estates can be split given the rules. Each choice leads to 6 other choices. The total is 18
Given a point in coordinates form
, one can compute the cartesian form like this:
We have:
We get the cartesian form then:
