| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
The __________ is the greatest factor that divides two integers.
absolute value |
|
greatest common multiple |
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least common multiple |
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greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
A triathlon course includes a 400m swim, a 40.1km bike ride, and a 18.700000000000003km run. What is the total length of the race course?
| 59.2km | |
| 60.2km | |
| 33.3km | |
| 49.8km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 40.1km + 18.700000000000003km
total distance = 59.2km
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Monty buys two shirts, each with a regular price of $31, how much will he pay for both shirts?
| $12.40 | |
| $49.60 | |
| $32.55 | |
| $35.65 |
By buying two shirts, Monty will save $31 x \( \frac{40}{100} \) = \( \frac{$31 x 40}{100} \) = \( \frac{$1240}{100} \) = $12.40 on the second shirt.
So, his total cost will be
$31.00 + ($31.00 - $12.40)
$31.00 + $18.60
$49.60
A tiger in a zoo has consumed 72 pounds of food in 6 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 108 pounds?
| 8 | |
| 9 | |
| 6 | |
| 3 |
If the tiger has consumed 72 pounds of food in 6 days that's \( \frac{72}{6} \) = 12 pounds of food per day. The tiger needs to consume 108 - 72 = 36 more pounds of food to reach 108 pounds total. At 12 pounds of food per day that's \( \frac{36}{12} \) = 3 more days.
What is \( \frac{1}{9} \) ÷ \( \frac{2}{5} \)?
| 2\(\frac{1}{2}\) | |
| \(\frac{5}{18}\) | |
| \(\frac{3}{20}\) | |
| \(\frac{6}{49}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{9} \) ÷ \( \frac{2}{5} \) = \( \frac{1}{9} \) x \( \frac{5}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{9} \) x \( \frac{5}{2} \) = \( \frac{1 x 5}{9 x 2} \) = \( \frac{5}{18} \) = \(\frac{5}{18}\)