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

6\( \sqrt{28} \) + 3\( \sqrt{7} \)
6\( \sqrt{4 \times 7} \) + 3\( \sqrt{7} \)
6\( \sqrt{2^2 \times 7} \) + 3\( \sqrt{7} \)
(6)(2)\( \sqrt{7} \) + 3\( \sqrt{7} \)
12\( \sqrt{7} \) + 3\( \sqrt{7} \)

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

If the tiger has consumed 64 pounds of food in 8 days that's \( \frac{64}{8} \) = 8 pounds of food per day. The tiger needs to consume 112 - 64 = 48 more pounds of food to reach 112 pounds total. At 8 pounds of food per day that's \( \frac{48}{8} \) = 6 more days.

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.

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $1,000
i = 0.06 x $1,000
i = $60

29% of the water consumption is industrial use and 19% is personal use so (29% - 19%) = 10% more water is used for industrial purposes. 10,000 gallons are consumed daily so industry consumes \( \frac{10}{100} \) x 10,000 gallons = 1,000 gallons.