| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({5 \over 7} \) |
|
\({7 \over 5} \) |
|
\({a \over 5} \) |
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.
If a mayor is elected with 65% of the votes cast and 70% of a town's 47,000 voters cast a vote, how many votes did the mayor receive?
| 21,385 | |
| 26,320 | |
| 29,281 | |
| 20,069 |
If 70% of the town's 47,000 voters cast ballots the number of votes cast is:
(\( \frac{70}{100} \)) x 47,000 = \( \frac{3,290,000}{100} \) = 32,900
The mayor got 65% of the votes cast which is:
(\( \frac{65}{100} \)) x 32,900 = \( \frac{2,138,500}{100} \) = 21,385 votes.
Which of the following is an improper fraction?
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\({2 \over 5} \) |
|
\(1 {2 \over 5} \) |
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.
Bob loaned April $1,100 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,144 | |
| $1,166 | |
| $1,177 | |
| $1,111 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,100
i = 0.06 x $1,100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,100 + $66What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 24 | |
| 33 | |
| 31 | |
| 36 |
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