| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
A tiger in a zoo has consumed 84 pounds of food in 7 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 144 pounds?
| 10 | |
| 11 | |
| 1 | |
| 5 |
If the tiger has consumed 84 pounds of food in 7 days that's \( \frac{84}{7} \) = 12 pounds of food per day. The tiger needs to consume 144 - 84 = 60 more pounds of food to reach 144 pounds total. At 12 pounds of food per day that's \( \frac{60}{12} \) = 5 more days.
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
least common multiple |
|
absolute value |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Simplify \( \frac{16}{48} \).
| \( \frac{5}{6} \) | |
| \( \frac{1}{3} \) | |
| \( \frac{5}{11} \) | |
| \( \frac{3}{5} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]. They share 5 factors [1, 2, 4, 8, 16] making 16 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{16}{48} \) = \( \frac{\frac{16}{16}}{\frac{48}{16}} \) = \( \frac{1}{3} \)
Which of these numbers is a factor of 72?
| 25 | |
| 74 | |
| 6 | |
| 36 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
What is the greatest common factor of 44 and 48?
| 4 | |
| 41 | |
| 26 | |
| 29 |
The factors of 44 are [1, 2, 4, 11, 22, 44] and the factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]. They share 3 factors [1, 2, 4] making 4 the greatest factor 44 and 48 have in common.