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

6\( \sqrt{125} \) - 2\( \sqrt{5} \)
6\( \sqrt{25 \times 5} \) - 2\( \sqrt{5} \)
6\( \sqrt{5^2 \times 5} \) - 2\( \sqrt{5} \)
(6)(5)\( \sqrt{5} \) - 2\( \sqrt{5} \)
30\( \sqrt{5} \) - 2\( \sqrt{5} \)

Now that the radicands are identical, you can subtract them:

A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:

39,000 fans x \( \frac{5}{6} \) = \( \frac{195000}{6} \) = 32,500 fans.

You have 7 out of the total of 250 raffle tickets sold so you have a (\( \frac{7}{250} \)) x 100 = \( \frac{7 \times 100}{250} \) = \( \frac{700}{250} \) = 3% chance to win the raffle.

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0009588 in scientific notation is 9.588 x 10^-4

44% of the water consumption is industrial use and 18% is personal use so (44% - 18%) = 26% more water is used for industrial purposes. 5,000 gallons are consumed daily so industry consumes \( \frac{26}{100} \) x 5,000 gallons = 1,300 gallons.