Answer:
The fraction of the original strip left is 
.
Step-by-step explanation:
We have that,
A strip of paper is cut in 
. So, the strip of paper left is .
Now, again the remaining part is cut in half. The part left will be 
i.e. 
.
Finally, the remaining part is again cut in half.
We get, the final part of the paper remaining is 
i.e. .
So, the fraction of the original strip left is .
Answer:
n = -3
Step-by-step explanation:
The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.
I'm going to call the number "n."
n² - 24 = 5n subtract 5n from both sides to get the equation equal to zero
<u>- 5n -5n</u>
n² - 5n - 24 = 0 factor the trinomial into the multiplicatin of two binomials
we need factors (numbers that multiply) to -24 that add up to
-5. The only factors for -24 that will add up to -5 are -8 and 3.
(n-8)(n+3) = 0 set each binomial equal to zero and solve for n
n-8 = 0 or n+3 = 0
<u>+8 +8</u> <u> -3 -3</u>
n = 8 or n = -3 n = -3 is the negative solution
To get operations easier lets get their denominators equal, that would be converting both to 16, lets start with that:
(3/4) = (4/4)<span>(3/4) = 4*3/*4*4 = 12/16
so, 3/4 = 12/16 they are equivalent, we can now perform the sum easily:
</span><span>3/4 + 1/16
= </span>12/16 <span>+ 1/16
= 13/16
that is the result in the lowest terms because we cannot reduce that fraction any more.</span>
The answer is - 1.5. subtract -2.5 by -1.5
