The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 52 are [1, 2, 4, 13, 26, 52]. They share 3 factors [1, 2, 4] making 4 the greatest factor 40 and 52 have in common.

The factors of a number are all positive integers that divide evenly into the number. The factors of 28 are 1, 2, 4, 7, 14, 28.

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:

7,522,000 in scientific notation is 7.522 x 10⁶

First, solve for \( \left|c + 6\right| \):

\( \left|c + 6\right| \) + 7 = -7
\( \left|c + 6\right| \) = -7 - 7
\( \left|c + 6\right| \) = -14

The value inside the absolute value brackets can be either positive or negative so (c + 6) must equal - 14 or --14 for \( \left|c + 6\right| \) to equal -14:

So, c = 8 or c = -20.

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 = \( \frac{150mi}{50mph} \)
3 hours