To find the GCF:
-- List the factors of the first number.
-- List the factors of the second number.
-- Make a short list of the factors that show up for BOTH numbers.
-- Find the biggest number on the short list.
Factors of the first number (99): <u>1</u>, 3, 9, <u>11</u>, 33, 99 .
Factors of the second number (121): <u>1</u>, <u>11</u>, 121 .
Short list (factors that show up for both numbers): 1, 11
Biggest number on the short list: <em>11</em>
4/25 = 0.16. 0.16 is equal to 16%
She did not use 181/24 or 7 13/24 meters of cloth
The first option is how you wrote your statement in math.
OK first let's check the x=1.5.





Oh my, that's called a depressed cubic, no

term. There's a formula for these very much like the quadratic formula but you're probably not quite old enough for that. Anyway,

is a solution, but that's not what they're asking. They are asking us to compare

with

and conclude

It turns out we did need all the rest of it. Save those brain cells, there's lots more math coming.
~~~~~~~~~~~~~~
I love it when the student asks for more. Here's the formula for a depressed cubic. I won't derive it here (though I did earlier today, coincidentally, but I'm probably not allowed to link to my Quora answer "what led to the discovery of complex numbers" from here). We use the trick of putting coefficients on the coefficients to avoid fractions.

has solutions
![x = \sqrt[3] { q - \sqrt{p^3 + q^2} } + \sqrt[3] {q + \sqrt{p^3 + q^2} } ](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%20%7B%20q%20-%20%5Csqrt%7Bp%5E3%20%2B%20q%5E2%7D%20%7D%20%2B%20%5Csqrt%5B3%5D%20%7Bq%20%2B%20%5Csqrt%7Bp%5E3%20%2B%20q%5E2%7D%20%7D%20%0A%0A)
That's pretty simple, though sometimes we end up having to take the cube roots of complex numbers, which isn't that helpful. Let's try it out on

That's
so
![x = \sqrt[3] { 3 - \sqrt{(2/3)^3+9} } + \sqrt[3] {3 + \sqrt{(2/3)^3+9} }](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%20%7B%203%20-%20%5Csqrt%7B%282%2F3%29%5E3%2B9%7D%20%7D%20%2B%20%5Csqrt%5B3%5D%20%7B3%20%2B%20%5Csqrt%7B%282%2F3%29%5E3%2B9%7D%20%7D%20)
![x = \sqrt[3] { 3 - \sqrt{753}/9 } +\sqrt[3]{3 + \sqrt{753}/9 }](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%20%7B%203%20-%20%5Csqrt%7B753%7D%2F9%20%7D%20%2B%5Csqrt%5B3%5D%7B3%20%2B%20%5Csqrt%7B753%7D%2F9%20%7D)
