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

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 75mph \times 7h \)
525 miles

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

vans = \( \frac{54}{7} \) = 7\(\frac{5}{7}\)

So, it will take 7 full vans and one partially full van to transport the entire team making a total of 8 vans.

34% of the water consumption is industrial use and 16% is personal use so (34% - 16%) = 18% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{18}{100} \) x 25,000 gallons = 4,500 gallons.

First, solve for \( \left|y - 4\right| \):

\( \left|y - 4\right| \) + 9 = 1
\( \left|y - 4\right| \) = 1 - 9
\( \left|y - 4\right| \) = -8

The value inside the absolute value brackets can be either positive or negative so (y - 4) must equal - 8 or --8 for \( \left|y - 4\right| \) to equal -8:

So, y = 12 or y = -4.

To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2 gallons so:

cans = \( \frac{10 \text{ gallons}}{2 \text{ gallons}} \) = 5