| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.75 |
| Score | 0% | 75% |
If a car travels 25 miles in 1 hour, what is the average speed?
| 15 mph | |
| 70 mph | |
| 45 mph | |
| 25 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is \( \frac{5a^5}{4a^3} \)?
| 1\(\frac{1}{4}\)a15 | |
| 1\(\frac{1}{4}\)a2 | |
| \(\frac{4}{5}\)a-2 | |
| 1\(\frac{1}{4}\)a1\(\frac{2}{3}\) |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{5a^5}{4a^3} \)
\( \frac{5}{4} \) a(5 - 3)
1\(\frac{1}{4}\)a2
Find the average of the following numbers: 8, 4, 8, 4.
| 11 | |
| 6 | |
| 2 | |
| 8 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{8 + 4 + 8 + 4}{4} \) = \( \frac{24}{4} \) = 6
Which of the following is a mixed number?
\({7 \over 5} \) |
|
\({a \over 5} \) |
|
\({5 \over 7} \) |
|
\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
Charlie loaned Jennifer $500 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?
| $510 | |
| $505 | |
| $525 | |
| $540 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $500
i = 0.05 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $25