Answer:
108
Step-by-step explanation:
let x be hourly rate
1508. --. 14hours
x --. 1 hour
cross multiply
14x= 1508
x=1508÷14
x= 108(approximately)
Answer:
c
Step-by-step explanation:
Answer:
3√2
Step-by-step explanation:
Given the following;
DB = 3
CD = 6,
Required
find AD.
using the similarity property of a triangle
DB/AD = AD/CD
3/AD = AD/6
3*6 = AD²
18 = AD²
AD = √18
AD= √9*√2
AD = 3√2
Hence the measure of AD is 3√2
Divide amount of grapes by number of people.
= 1/2 lb ÷ 4 people
to divide a fraction, multiply by the reciprocal (inverse)
= 1/2 * 1/4
= (1*1)/(2*4)
= 1/8 pound
ANSWER: Each of the 4 people will get 1/8 pound of grapes.
Hope this helps! :)
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."
