Part A: In order to make an equation without a solution, all you need to do is this:


This makes the equation impossible, as no number equals itself plus two.
Part B: This is easier. Literally every random equation should work.


Now, use substitution:

x = 2
Answer:
10 full servings and
cups leftover
Step-by-step explanation:
Our container has a total of 20 and a half cups. And each full serving is 2 cups.
So, we divide
.
To do this manually, we convert the numerator into an improper fraction:
.
Now, we multiply the denominators:
.
This will give us
servings. So we only have 10 full servings.
There are
cups leftover.
1. Decompose all numbers into prime factors
300 2 150 2 75 3 25 5 5 5 1 400 2 200 2 100 2 50 2 25 5 5 5 1 500 2 250 2 125 5 25 5 5 5 1
2. Write all numbers as the product of its prime factors
Prime factors of 300 = 22 . 3 . 52
Prime factors of 400 = 24 . 52
Prime factors of 500 = 22 . 53
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 5
Common prime factors with the greatest exponent: 24, 53
Uncommon prime factors: 3
Uncommon prime factors with the greatest exponent: 31
4. Calculate the Least Common Multiple or LCM
Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 24. 53. 31 = 6000
Answer:
87,500
Step-by-step explanation:
Given :
Total wealth = 780000
Number of heirs = 8
Funeral cost = 30000
Loan = 50000
Net Wealth left : (780000 - (30000 + 50000))
= 780000 - 80000
= 700000
Amount shared:
700000 / 8
= 87,500
Answer:
Distributive property.
Why?
Because you are distributing the 3.