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

9\( \sqrt{50} \) + 7\( \sqrt{2} \)
9\( \sqrt{25 \times 2} \) + 7\( \sqrt{2} \)
9\( \sqrt{5^2 \times 2} \) + 7\( \sqrt{2} \)
(9)(5)\( \sqrt{2} \) + 7\( \sqrt{2} \)
45\( \sqrt{2} \) + 7\( \sqrt{2} \)

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

There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 14 people needing transportation leaving 14 - 12 = 2 who will have to find other transportation.

If the tiger has consumed 30 pounds of food in 5 days that's \( \frac{30}{5} \) = 6 pounds of food per day. The tiger needs to consume 54 - 30 = 24 more pounds of food to reach 54 pounds total. At 6 pounds of food per day that's \( \frac{24}{6} \) = 4 more days.

The equation for this sequence is:

a_n = a_n-1 + 3(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 3(6 - 1)
a₆ = 31 + 3(5)
a₆ = 46

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

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{245mi}{35mph} \)
7 hours