Each time they assume the sum<span> is </span>rational<span>; however, upon rearranging the terms of their equation, they get a contradiction (that an </span>irrational number<span> is equal to a </span>rational number<span>). Since the assumption that the </span>sum of a rational<span> and </span>irrational number<span> is </span>rational<span>leads to a contradiction, the </span>sum<span> must be </span>irrational<span>.</span>
465 -(-45) = x
This creates a double negative which becomes a positive and you solution would be 465+45 =X, X = 510
C. 3/2 divided by 3
Alina has 3/2 hours to complete her homework. She should divide her 3/2 hours by the 3 assignments to determine how much time she will spend on each assignment. This turns out to be 1/2 hours, or 30 minutes, on each assignment. 3/2 hours is the same thing as 90 minutes, so this answer makes sense. We want the time to be divided by the number of assignments, not vice versa.
<span>Width(height): x
length of rectangle: 10x
perimeter: width +width +length +length = 308 inches
or ------- 2width+2length=308
2x+2(10x)=308
2x+20x=308
22x=308</span>
<span>
x=14 the width is 14 inches
length:
10x
10*14
140 inches
ANSWER:
Length:140 inches
Width: 14 inches</span>
Answer:
[see answer below]
Step-by-step explanation:

We would move the decimal 5 places to the left.

Hope this helps!