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 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.2km + 50.4km + 12.5km
total distance = 63.1km

Christine scored 73% on the test meaning she earned 73% of the possible points on the test. There were 90 possible points on the test so she earned 90 x 0.73 = 66 points. Each question is worth 3 points so she got \( \frac{66}{3} \) = 22 questions right.

First, solve for \( \left|a + 3\right| \):

\( \left|a + 3\right| \) - 7 = 7
\( \left|a + 3\right| \) = 7 + 7
\( \left|a + 3\right| \) = 14

The value inside the absolute value brackets can be either positive or negative so (a + 3) must equal + 14 or -14 for \( \left|a + 3\right| \) to equal 14:

So, a = -17 or a = 11.

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:

1,584,000 in scientific notation is 1.584 x 10⁶

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

vans = \( \frac{69}{9} \) = 7\(\frac{2}{3}\)

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