| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.58 |
| Score | 0% | 72% |
8 members of a bridal party need transported to a wedding reception but there are only 2 3-passenger taxis available to take them. How many will need to find other transportation?
| 2 | |
| 8 | |
| 9 | |
| 4 |
There are 2 3-passenger taxis available so that's 2 x 3 = 6 total seats. There are 8 people needing transportation leaving 8 - 6 = 2 who will have to find other transportation.
Convert 4,736,000 to scientific notation.
| 47.36 x 105 | |
| 0.474 x 107 | |
| 4.736 x 106 | |
| 4.736 x 105 |
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:
4,736,000 in scientific notation is 4.736 x 106
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 23 | |
| 31 | |
| 24 | |
| 25 |
The equation for this sequence is:
an = an-1 + 2(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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
Find the average of the following numbers: 14, 12, 15, 11.
| 17 | |
| 8 | |
| 15 | |
| 13 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{14 + 12 + 15 + 11}{4} \) = \( \frac{52}{4} \) = 13
Simplify \( \frac{40}{44} \).
| \( \frac{7}{12} \) | |
| \( \frac{5}{12} \) | |
| \( \frac{7}{11} \) | |
| \( \frac{10}{11} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{40}{44} \) = \( \frac{\frac{40}{4}}{\frac{44}{4}} \) = \( \frac{10}{11} \)