| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
Which of these numbers is a factor of 72?
| 42 | |
| 4 | |
| 74 | |
| 39 |
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.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Roger buys two shirts, each with a regular price of $22, how much money will he save?
| $9.90 | |
| $1.10 | |
| $11.00 | |
| $8.80 |
By buying two shirts, Roger will save $22 x \( \frac{5}{100} \) = \( \frac{$22 x 5}{100} \) = \( \frac{$110}{100} \) = $1.10 on the second shirt.
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 48 | |
| 47 | |
| 46 | |
| 55 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
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(6 - 1)
a6 = 31 + 3(5)
a6 = 46
Simplify \( \frac{28}{72} \).
| \( \frac{2}{5} \) | |
| \( \frac{2}{7} \) | |
| \( \frac{4}{15} \) | |
| \( \frac{7}{18} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{28}{72} \) = \( \frac{\frac{28}{4}}{\frac{72}{4}} \) = \( \frac{7}{18} \)
Convert 324,000 to scientific notation.
| 3.24 x 10-4 | |
| 3.24 x 106 | |
| 3.24 x 105 | |
| 0.324 x 106 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
324,000 in scientific notation is 3.24 x 105