| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.66 |
| Score | 0% | 73% |
If a car travels 140 miles in 4 hours, what is the average speed?
| 20 mph | |
| 35 mph | |
| 50 mph | |
| 60 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If there were a total of 350 raffle tickets sold and you bought 21 tickets, what's the probability that you'll win the raffle?
| 14% | |
| 9% | |
| 6% | |
| 16% |
You have 21 out of the total of 350 raffle tickets sold so you have a (\( \frac{21}{350} \)) x 100 = \( \frac{21 \times 100}{350} \) = \( \frac{2100}{350} \) = 6% chance to win the raffle.
What is (c4)3?
| c12 | |
| 3c4 | |
| c7 | |
| c-1 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c4)3A factor is a positive __________ that divides evenly into a given number.
integer |
|
fraction |
|
mixed number |
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improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
What is \( \frac{4}{2} \) - \( \frac{8}{10} \)?
| 1\(\frac{1}{5}\) | |
| \( \frac{4}{10} \) | |
| 2 \( \frac{7}{10} \) | |
| 1 \( \frac{6}{12} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [10, 20, 30, 40, 50] making 10 the smallest multiple 2 and 10 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{4 x 5}{2 x 5} \) - \( \frac{8 x 1}{10 x 1} \)
\( \frac{20}{10} \) - \( \frac{8}{10} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{20 - 8}{10} \) = \( \frac{12}{10} \) = 1\(\frac{1}{5}\)