In 1998 your house cost 82,400 in 2000 your house was vauled at 102,650 how much did the value of your home increase
1 answer:
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Rather than trying to guess and check, we can actually construct a counterexample to the statement.
So, what is an irrational number? The prefix "ir" means not, so we can say that an irrational number is something that's not a rational number, right? Since we know a rational number is a ratio between two integers, we can conclude an irrational number is a number that's not a ratio of two integers. So, an easy way to show that not all square roots are irrational would be to square a rational number then take the square root of it. Let's use three halves for our example:
So clearly 9/4 is a counterexample to the statement. We can also say something stronger: All squared rational numbers are not irrational number when rooted. How would we prove this? Well, let be a rational number. That would mean,
, would be a/b squared. Taking the square root of it yields:
So our stronger statement is proven, and we know that the original claim is decisively false.
The answer is: " 53 % " .
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→ " 53 % " of 75 is "40" .
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Explanation:
To solve:
* 75 = 40 ;
→ Rewrite as:
*
= 40 ;
→ The "100" cancels to "4" ; and the "75" cancels to "3" ;
→ {since: "{100 ÷ 25 = 4}" ; and since: "{75 ÷ 25 = 3"} ;
→ So; we rewrite the problem as:
→ *
= 40 ;
→ which is:
* 3 = 40 ;
→ Divide each side of the equation by "3" ;
* 3 ÷ 3 = 40 ÷ 3 ;
to get:
→ =
;
Now, cross-multiply:
→ 3x = (4)*(40) ;
→ 3x = 160 ;
Divide each side of the equation by "3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 3x / 3 = 160 / 3 ;
to get:
→ x = 53 .
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