If the tiger has consumed 60 pounds of food in 5 days that's \( \frac{60}{5} \) = 12 pounds of food per day. The tiger needs to consume 108 - 60 = 48 more pounds of food to reach 108 pounds total. At 12 pounds of food per day that's \( \frac{48}{12} \) = 4 more days.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-3x⁵ + 7x⁵
(-3 + 7)x⁵
4x⁵

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

\( \frac{6}{100} \) x 10 = \( \frac{6 \times 10}{100} \) = \( \frac{60}{100} \) = 0.6 errors per hour

So, in an average hour, the machine will produce 10 - 0.6 = 9.4 error free parts.

The machine ran for 24 - 5 = 19 hours yesterday so you would expect that 19 x 9.4 = 178.6 error free parts were produced yesterday.

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

vans = \( \frac{91}{8} \) = 11\(\frac{3}{8}\)

So, it will take 11 full vans and one partially full van to transport the entire team making a total of 12 vans.