| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
If a mayor is elected with 89% of the votes cast and 61% of a town's 22,000 voters cast a vote, how many votes did the mayor receive?
| 11,944 | |
| 10,468 | |
| 11,273 | |
| 9,662 |
If 61% of the town's 22,000 voters cast ballots the number of votes cast is:
(\( \frac{61}{100} \)) x 22,000 = \( \frac{1,342,000}{100} \) = 13,420
The mayor got 89% of the votes cast which is:
(\( \frac{89}{100} \)) x 13,420 = \( \frac{1,194,380}{100} \) = 11,944 votes.
What is \( \frac{3}{7} \) ÷ \( \frac{1}{5} \)?
| \(\frac{2}{35}\) | |
| \(\frac{8}{45}\) | |
| 2\(\frac{1}{7}\) | |
| \(\frac{2}{27}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{7} \) ÷ \( \frac{1}{5} \) = \( \frac{3}{7} \) x \( \frac{5}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{7} \) x \( \frac{5}{1} \) = \( \frac{3 x 5}{7 x 1} \) = \( \frac{15}{7} \) = 2\(\frac{1}{7}\)
What is 4\( \sqrt{8} \) x 4\( \sqrt{5} \)?
| 8\( \sqrt{5} \) | |
| 16\( \sqrt{8} \) | |
| 32\( \sqrt{10} \) | |
| 16\( \sqrt{5} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
4\( \sqrt{8} \) x 4\( \sqrt{5} \)
(4 x 4)\( \sqrt{8 \times 5} \)
16\( \sqrt{40} \)
Now we need to simplify the radical:
16\( \sqrt{40} \)
16\( \sqrt{10 \times 4} \)
16\( \sqrt{10 \times 2^2} \)
(16)(2)\( \sqrt{10} \)
32\( \sqrt{10} \)
Which of the following is an improper fraction?
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
|
\({2 \over 5} \) |
|
\({a \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
Find the average of the following numbers: 12, 10, 12, 10.
| 15 | |
| 13 | |
| 7 | |
| 11 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{12 + 10 + 12 + 10}{4} \) = \( \frac{44}{4} \) = 11