| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
What is the next number in this sequence: 1, 9, 17, 25, 33, __________ ?
| 44 | |
| 35 | |
| 47 | |
| 41 |
The equation for this sequence is:
an = an-1 + 8
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 + 8
a6 = 33 + 8
a6 = 41
Which of the following is not an integer?
0 |
|
\({1 \over 2}\) |
|
-1 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Find the average of the following numbers: 17, 9, 15, 11.
| 13 | |
| 15 | |
| 17 | |
| 10 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{17 + 9 + 15 + 11}{4} \) = \( \frac{52}{4} \) = 13
If a mayor is elected with 63% of the votes cast and 86% of a town's 41,000 voters cast a vote, how many votes did the mayor receive?
| 24,329 | |
| 27,855 | |
| 23,272 | |
| 22,214 |
If 86% of the town's 41,000 voters cast ballots the number of votes cast is:
(\( \frac{86}{100} \)) x 41,000 = \( \frac{3,526,000}{100} \) = 35,260
The mayor got 63% of the votes cast which is:
(\( \frac{63}{100} \)) x 35,260 = \( \frac{2,221,380}{100} \) = 22,214 votes.
What is \( \frac{8}{3} \) - \( \frac{4}{7} \)?
| \( \frac{8}{16} \) | |
| 2\(\frac{2}{21}\) | |
| 2 \( \frac{7}{21} \) | |
| 2 \( \frac{1}{21} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [21, 42, 63, 84] making 21 the smallest multiple 3 and 7 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{8 x 7}{3 x 7} \) - \( \frac{4 x 3}{7 x 3} \)
\( \frac{56}{21} \) - \( \frac{12}{21} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{56 - 12}{21} \) = \( \frac{44}{21} \) = 2\(\frac{2}{21}\)