Answer:
$30
Step-by-step explanation:
Divide the cost ($75) by the yards (2 1/2) to get $30 per yard.
Hello.
First, let the number be r.
5 times r is written like this:

Now, add 45:

Now, the sum of 5r+45 is equal to the sum of 85 and 140:

In order to solve this equation, we need to add 85 and 140:

Now, subtract 45 from both sides:



The last step is to divide both sides by 5:

Therefore, the answer is

I hope it helps.
Have a nice day.

Answer:
c)The proof writer mentally assumed the conclusion. He wrote "suppose n is an arbitrary integer", but was really thinking "suppose n is an arbitrary integer, and suppose that for this n, there exists an integer k that satisfies n < k < n+2." Under those assumptions, it follows indeed that k must be n + 1, which justifies the word "therefore": but of course assuming the conclusion destroyed the validity of the proof.
Step-by-step explanation:
when we claim something as a hypothesis we can only conclude with therefore at the end of the proof. so assuming the conclusion nulify the proof from the beginning
Answer:
6,889
<em>Multiply </em>83 x 83.
<h3>
83 x 83 = 6,889.</h3>
Therefore, 83 squared is 6,889.