Translating this sentence into an equation gives:
12 = 0.60 (x)
(12 equals 60%, represented as a decimal, times a number "x")
So to solve, divide both sides by 0.60, and x = 20.

A midpoint can be found on a line segment, but not a polygon like a triangle. If you're referring to the centroid, or some other such point in or around a triangle, you will need to take a few steps to do so. The centroid is my best guess to what you're referring to, and … Read more

Let x be one of the numbers. Y will be the other for now.
Then since we know xy = 72, we can solve for y, and now think of it as (72/x).
Our other piece of information yields the equation: X + y = -42.
We can only solve for one variable at a … Read more

When changing a decimal to a fraction, it helps to read it aloud.
0.45 is "45 hundredths" which means the same thing as 45/100. What remains is to reduce this fraction if possible; that is, try to find a common factor between both the numerator and denominator and divide each by that factor. Here, 45 … Read more

The LCM of two numbers is their product divided by the GCD (or GCF).
Factoring each gives:
75 = 3*5*5 = 3* 5^2
100 = 2*2*5*5 = 2^2*5^2
The GCD is 5*5, or 25. The product of 75 and 100 (75 x 100) = 7500.
Taking 7500/25, we get 300 as the LCM.

If you read the decimal version of 4.8 out loud, it should be "four and eight tenths." This will always give you a good place to start when changing a decimal into an equivalent fraction.
Now, this is a mixed number: 4 and 8/10. To further simplify it as a mixed number, we can leave … Read more

You can write 2,875,000,000 (Two thousand eight hundred seventy-five million) as I just did, or if you are comfortable with scientific notation that would be a much more precise (shorter) way of expressing such a huge number: 2.875 x 10^9.

If you break down each of these numbers into their prime factorizations (one way to do this is with a factor tree), we have 68 = 2 x 2 x 17 = 2^2 x 17, and 24 = 2 x 2 x 2 x 3 = 2^3 x 3.
68 has two distinct factors, 2 … Read more