Answer:
The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.
Step-by-step explanation:
The proof is rigourous and well written, so we discard the second answer.
This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.
A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.
To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."
I'm not sure I'm understanding the wording of the question, but if it's this:
Juice boxes come in a package with multiple juice boxes in each package. Three people bought 18, 36, and 45 juice boxes. What is the largest possible number of juice boxes per package?
Then the problem is just an involved way of asking what the greatest common factor of 18, 36, and 45 is, and the answer is 9, the difference between 36 and 45, which are both multiples of 9. Note that 18 is also a multiple of 9. One way to find the greatest common factor of three numbers is to factor all of them and find which prime factors they have in common.
Answer:
she can't.
Step-by-step explanation:
13456.44/36=373.79
First, construct two equations.
Then, equal the two equations to each other like this -
x will be the years.
Type A. Type B
3x + 15 = 4x + 10
- 15. - 15
3x = 4x - 5
-4x. -4x
-x = -5
-x/-1 = -5/-1
x = 5
Check:
3(5) + 15 = 4(5) + 10
15 + 15 = 20 + 10
30 = 30
Therefore, the trees will be the same height in 5 years.
<span><span>an</span>=<span>1<span>a−</span></span></span><span>4a10b</span>n hope i helped
