| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
A triathlon course includes a 200m swim, a 30.9km bike ride, and a 14.100000000000001km run. What is the total length of the race course?
| 45.6km | |
| 34.5km | |
| 45.2km | |
| 52.1km |
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 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.2km + 30.9km + 14.100000000000001km
total distance = 45.2km
What is the next number in this sequence: 1, 4, 7, 10, 13, __________ ?
| 22 | |
| 14 | |
| 16 | |
| 23 |
The equation for this sequence is:
an = an-1 + 3
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 3
a6 = 13 + 3
a6 = 16
What is \( \frac{4}{8} \) + \( \frac{7}{10} \)?
| 2 \( \frac{9}{40} \) | |
| 1\(\frac{1}{5}\) | |
| 1 \( \frac{5}{40} \) | |
| \( \frac{4}{40} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{4 x 5}{8 x 5} \) + \( \frac{7 x 4}{10 x 4} \)
\( \frac{20}{40} \) + \( \frac{28}{40} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{20 + 28}{40} \) = \( \frac{48}{40} \) = 1\(\frac{1}{5}\)
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
|
greatest common factor |
|
absolute value |
|
least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Ezra buys two shirts, each with a regular price of $13, how much will he pay for both shirts?
| $4.55 | |
| $16.25 | |
| $21.45 | |
| $14.95 |
By buying two shirts, Ezra will save $13 x \( \frac{35}{100} \) = \( \frac{$13 x 35}{100} \) = \( \frac{$455}{100} \) = $4.55 on the second shirt.
So, his total cost will be
$13.00 + ($13.00 - $4.55)
$13.00 + $8.45
$21.45