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:

0.0009731 in scientific notation is 9.731 x 10^-4

The amount of flour you need is (1\(\frac{7}{8}\) - 1) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{15}{8} \) - \( \frac{8}{8} \)) cups
\( \frac{7}{8} \) cups
\(\frac{7}{8}\) cups

40% of the water consumption is industrial use and 26% is personal use so (40% - 26%) = 14% more water is used for industrial purposes. 10,000 gallons are consumed daily so industry consumes \( \frac{14}{100} \) x 10,000 gallons = 1,400 gallons.

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

4\( \sqrt{80} \) - 3\( \sqrt{5} \)
4\( \sqrt{16 \times 5} \) - 3\( \sqrt{5} \)
4\( \sqrt{4^2 \times 5} \) - 3\( \sqrt{5} \)
(4)(4)\( \sqrt{5} \) - 3\( \sqrt{5} \)
16\( \sqrt{5} \) - 3\( \sqrt{5} \)

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

If the tiger has consumed 72 pounds of food in 6 days that's \( \frac{72}{6} \) = 12 pounds of food per day. The tiger needs to consume 156 - 72 = 84 more pounds of food to reach 156 pounds total. At 12 pounds of food per day that's \( \frac{84}{12} \) = 7 more days.