| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.76 |
| Score | 0% | 75% |
Which of these numbers is a factor of 24?
| 24 | |
| 28 | |
| 13 | |
| 12 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
What is \( \frac{35\sqrt{20}}{5\sqrt{4}} \)?
| 5 \( \sqrt{\frac{1}{7}} \) | |
| \(\frac{1}{7}\) \( \sqrt{5} \) | |
| 7 \( \sqrt{5} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{35\sqrt{20}}{5\sqrt{4}} \)
\( \frac{35}{5} \) \( \sqrt{\frac{20}{4}} \)
7 \( \sqrt{5} \)
If a car travels 225 miles in 9 hours, what is the average speed?
| 55 mph | |
| 20 mph | |
| 15 mph | |
| 25 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)How many 6-passenger vans will it take to drive all 55 members of the football team to an away game?
| 10 vans | |
| 11 vans | |
| 6 vans | |
| 9 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{55}{6} \) = 9\(\frac{1}{6}\)
So, it will take 9 full vans and one partially full van to transport the entire team making a total of 10 vans.
Charlie loaned Monica $500 at an annual interest rate of 3%. If no payments are made, what is the total amount owed at the end of the first year?
| $515 | |
| $510 | |
| $520 | |
| $530 |
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 = 0.03 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $15