If the tiger has consumed 66 pounds of food in 6 days that's \( \frac{66}{6} \) = 11 pounds of food per day. The tiger needs to consume 132 - 66 = 66 more pounds of food to reach 132 pounds total. At 11 pounds of food per day that's \( \frac{66}{11} \) = 6 more days.

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.5km + 40.6km + 7.6km
total distance = 48.7km

To fill a 25 gallon tank exactly halfway you'll need 12\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:

cans = \( \frac{12\frac{1}{2} \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 5

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{3 x 5}{8 x 5} \) + \( \frac{3 x 4}{10 x 4} \)

\( \frac{15}{40} \) + \( \frac{12}{40} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{15 + 12}{40} \) = \( \frac{27}{40} \) = \(\frac{27}{40}\)