A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:

47,000 fans x \( \frac{4}{5} \) = \( \frac{188000}{5} \) = 37,600 fans.

To add these radicals together their radicands must be the same:

5\( \sqrt{50} \) + 9\( \sqrt{2} \)
5\( \sqrt{25 \times 2} \) + 9\( \sqrt{2} \)
5\( \sqrt{5^2 \times 2} \) + 9\( \sqrt{2} \)
(5)(5)\( \sqrt{2} \) + 9\( \sqrt{2} \)
25\( \sqrt{2} \) + 9\( \sqrt{2} \)

Now that the radicands are identical, you can add them together:

The equation for this sequence is:

a_n = a_n-1 + 1

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 1
a₆ = 5 + 1
a₆ = 6

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{11 + 9 + 12 + 8}{4} \) = \( \frac{40}{4} \) = 10

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.