| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
Simplify \( \frac{16}{60} \).
| \( \frac{4}{15} \) | |
| \( \frac{9}{17} \) | |
| \( \frac{6}{13} \) | |
| \( \frac{3}{8} \) |
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 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{16}{60} \) = \( \frac{\frac{16}{4}}{\frac{60}{4}} \) = \( \frac{4}{15} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Bob buys two shirts, each with a regular price of $23, how much money will he save?
| $1.15 | |
| $8.05 | |
| $11.50 | |
| $4.60 |
By buying two shirts, Bob will save $23 x \( \frac{20}{100} \) = \( \frac{$23 x 20}{100} \) = \( \frac{$460}{100} \) = $4.60 on the second shirt.
If a rectangle is twice as long as it is wide and has a perimeter of 18 meters, what is the area of the rectangle?
| 18 m2 | |
| 162 m2 | |
| 8 m2 | |
| 2 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 18 meters so the equation becomes: 2w + 2h = 18.
Putting these two equations together and solving for width (w):
2w + 2h = 18
w + h = \( \frac{18}{2} \)
w + h = 9
w = 9 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 9 - 2w
3w = 9
w = \( \frac{9}{3} \)
w = 3
Since h = 2w that makes h = (2 x 3) = 6 and the area = h x w = 3 x 6 = 18 m2
A tiger in a zoo has consumed 21 pounds of food in 3 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 70 pounds?
| 3 | |
| 7 | |
| 4 | |
| 8 |
If the tiger has consumed 21 pounds of food in 3 days that's \( \frac{21}{3} \) = 7 pounds of food per day. The tiger needs to consume 70 - 21 = 49 more pounds of food to reach 70 pounds total. At 7 pounds of food per day that's \( \frac{49}{7} \) = 7 more days.
What is the greatest common factor of 28 and 48?
| 19 | |
| 25 | |
| 21 | |
| 4 |
The factors of 28 are [1, 2, 4, 7, 14, 28] 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 28 and 48 have in common.