| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
What is the next number in this sequence: 1, 3, 5, 7, 9, __________ ?
| 9 | |
| 15 | |
| 3 | |
| 11 |
The equation for this sequence is:
an = an-1 + 2
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 + 2
a6 = 9 + 2
a6 = 11
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Alex buys two shirts, each with a regular price of $26, how much will he pay for both shirts?
| $31.20 | |
| $50.70 | |
| $35.10 | |
| $24.70 |
By buying two shirts, Alex will save $26 x \( \frac{5}{100} \) = \( \frac{$26 x 5}{100} \) = \( \frac{$130}{100} \) = $1.30 on the second shirt.
So, his total cost will be
$26.00 + ($26.00 - $1.30)
$26.00 + $24.70
$50.70
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
|
absolute value |
|
greatest common factor |
|
least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is \( \frac{6}{2} \) + \( \frac{9}{10} \)?
| 3\(\frac{9}{10}\) | |
| 1 \( \frac{8}{10} \) | |
| \( \frac{1}{10} \) | |
| 1 \( \frac{6}{9} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [10, 20, 30, 40, 50] making 10 the smallest multiple 2 and 10 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{6 x 5}{2 x 5} \) + \( \frac{9 x 1}{10 x 1} \)
\( \frac{30}{10} \) + \( \frac{9}{10} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{30 + 9}{10} \) = \( \frac{39}{10} \) = 3\(\frac{9}{10}\)
What is the distance in miles of a trip that takes 3 hours at an average speed of 50 miles per hour?
| 150 miles | |
| 240 miles | |
| 405 miles | |
| 250 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 50mph \times 3h \)
150 miles