| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
What is the distance in miles of a trip that takes 7 hours at an average speed of 40 miles per hour?
| 250 miles | |
| 280 miles | |
| 390 miles | |
| 315 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 40mph \times 7h \)
280 miles
What is 5\( \sqrt{5} \) x 2\( \sqrt{8} \)?
| 10\( \sqrt{13} \) | |
| 20\( \sqrt{10} \) | |
| 7\( \sqrt{5} \) | |
| 10\( \sqrt{8} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{5} \) x 2\( \sqrt{8} \)
(5 x 2)\( \sqrt{5 \times 8} \)
10\( \sqrt{40} \)
Now we need to simplify the radical:
10\( \sqrt{40} \)
10\( \sqrt{10 \times 4} \)
10\( \sqrt{10 \times 2^2} \)
(10)(2)\( \sqrt{10} \)
20\( \sqrt{10} \)
What is the least common multiple of 6 and 12?
| 12 | |
| 55 | |
| 41 | |
| 59 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 6 and 12 have in common.
Alex loaned Latoya $1,000 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?
| $1,090 | |
| $1,040 | |
| $1,010 | |
| $1,030 |
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 $1,000
i = 0.03 x $1,000
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,000 + $30If there were a total of 400 raffle tickets sold and you bought 28 tickets, what's the probability that you'll win the raffle?
| 5% | |
| 11% | |
| 7% | |
| 16% |
You have 28 out of the total of 400 raffle tickets sold so you have a (\( \frac{28}{400} \)) x 100 = \( \frac{28 \times 100}{400} \) = \( \frac{2800}{400} \) = 7% chance to win the raffle.