| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
Which of the following is not a prime number?
5 |
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2 |
|
9 |
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7 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
What is \( \frac{4}{3} \) + \( \frac{2}{9} \)?
| \( \frac{1}{6} \) | |
| 1\(\frac{5}{9}\) | |
| 2 \( \frac{2}{9} \) | |
| 1 \( \frac{3}{9} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [9, 18, 27, 36, 45] making 9 the smallest multiple 3 and 9 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{4 x 3}{3 x 3} \) + \( \frac{2 x 1}{9 x 1} \)
\( \frac{12}{9} \) + \( \frac{2}{9} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{12 + 2}{9} \) = \( \frac{14}{9} \) = 1\(\frac{5}{9}\)
A tiger in a zoo has consumed 70 pounds of food in 5 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 154 pounds?
| 3 | |
| 8 | |
| 6 | |
| 4 |
If the tiger has consumed 70 pounds of food in 5 days that's \( \frac{70}{5} \) = 14 pounds of food per day. The tiger needs to consume 154 - 70 = 84 more pounds of food to reach 154 pounds total. At 14 pounds of food per day that's \( \frac{84}{14} \) = 6 more days.
A 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.
If there were a total of 450 raffle tickets sold and you bought 9 tickets, what's the probability that you'll win the raffle?
| 3% | |
| 2% | |
| 11% | |
| 6% |
You have 9 out of the total of 450 raffle tickets sold so you have a (\( \frac{9}{450} \)) x 100 = \( \frac{9 \times 100}{450} \) = \( \frac{900}{450} \) = 2% chance to win the raffle.