Average speed in miles per hour is the number of miles traveled divided by the number of hours:

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:

6,827,000 in scientific notation is 6.827 x 10⁶

To multiply terms with radicals, multiply the coefficients and radicands separately:

6\( \sqrt{3} \) x 6\( \sqrt{8} \)
(6 x 6)\( \sqrt{3 \times 8} \)
36\( \sqrt{24} \)

Now we need to simplify the radical:

36\( \sqrt{24} \)
36\( \sqrt{6 \times 4} \)
36\( \sqrt{6 \times 2^2} \)
(36)(2)\( \sqrt{6} \)
72\( \sqrt{6} \)

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

vans = \( \frac{53}{10} \) = 5\(\frac{3}{10}\)

So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{4\sqrt{40}}{2\sqrt{8}} \)
\( \frac{4}{2} \) \( \sqrt{\frac{40}{8}} \)
2 \( \sqrt{5} \)