With what in regard? For fractions, percentage is relative to the amount “full”. Think or a bottle of water, if it’s 50% full, it’s got 1/2 (50/100) filled with water. Simplifying is the process of taking a big fraction, say, 12/36, and finding the similarity to reduce it. 12 and 36 are both even, so let’s try to divide it by 2. 12/2 is 6, and 36/2 is 18. 6/18. However this is simplified it is not in simplest form, so we can divide It again. 6/2 is 3, and 18/2 9. 3/9 can be reduced by 3, making 1/3. 1/3 is the simplest form.
Answer attached in the file...
Hope this helps..
Answer: 
This is equivalent to 
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Explanation:
To get the first value mentioned above, we simply divide the long leg (10) over the square root of 3.
This is due to the fact that if x is the short leg, then x*sqrt(3) is the long leg. We go in reverse of this process to go from long leg to short leg.
The expression
is the same as
after we multiply top and bottom by sqrt(3) to rationalize the denominator.
Side notes:
- This entire process only applies to 30-60-90 triangles.
- The hypotenuse of a 30-60-90 triangle is twice as long as the short leg, so the hypotenuse is
units long. - You could use the tangent ratio to help isolate x. You would either say tan(30) = x/10 or tan(60) = 10/x as the first equation to set up.
I'll go out on a limb here, and assume that you want a unit rate,
although technically, you haven't asked ANY question.
==> 13.66¢ per ounce
==> 7.32 ounces per dollar
We want to solve
√(2x+4) - √(x) = 2
Write equation as
√(2x+4) = √x + 2
Square each side.
2x + 4 = x + 4√x + 4
x = 4√x
x - 4√x = 0
√x (√x - 4) = 0
Either
√x = 0 => x = 0
or
√x = 4 => x = 16
Test for extraneous solutions.
When x = 0:
√(2x+4) - √x = 2 (Correct)
When x = 16:
√(2x+4) - √x = √(36) - √(16) = 6 - 4 = 2 (Correct)
A plot of f(x) = √(2x+4) - √x - 2 = 0 confirms hat the solutions are correct.
Answer: B. x = 0 and x = 16.