Answer:
C. The same number of guests attended Rick and Tom's party.
Step-by-step explanation:
Let R and T represent the number of guests at Rick's and Tom's parties, respectively. The charges Rick and Tom paid are equal, so we have ...
65 +25R = 40+25+25T
25R = 25T . . . . . . . . . . . . subtract 65
R = T . . . . . . . . . . . . . . . . . divide by 25
The number of guests at each party is the same.
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."
9514 1404 393
Answer:
- 25 seats per row in 18 rows
- 30 seats per row in 15 rows
Step-by-step explanation:
The total number of seats is 470 -20 = 450.
The number of seats in a row is found by dividing seats by rows.
<u>In 18 rows</u>
450 seats/(18 rows) = 25 seats/row
<u>In 15 rows</u>
450 seats/(15 rows) = 30 seats/row
Answer:
y = (4/7)x² - (24/7)(x)
Step-by-step explanation:
4 = a(-1)² + b(-1)
4 = a - b
0 = a(6)² + b(6)
36a + 6b = 0
b = -6a
4 = a - (-6a)
7a = 4
a = 4/7
b = -24/7
y = (4/7)x² - (24/7)(x)
Set 2 I think hope I get it right
