There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 10 people needing transportation leaving 10 - 9 = 1 who will have to find other transportation.

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:

0.0000174 in scientific notation is 1.74 x 10^-5

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

2\( \sqrt{18} \) - 5\( \sqrt{2} \)
2\( \sqrt{9 \times 2} \) - 5\( \sqrt{2} \)
2\( \sqrt{3^2 \times 2} \) - 5\( \sqrt{2} \)
(2)(3)\( \sqrt{2} \) - 5\( \sqrt{2} \)
6\( \sqrt{2} \) - 5\( \sqrt{2} \)

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

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{61}{9} \) = 6\(\frac{7}{9}\)

So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).