| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 4.03 |
| Score | 0% | 81% |
What is the next number in this sequence: 1, 2, 3, 4, 5, __________ ?
| 6 | |
| 10 | |
| 0 | |
| 12 |
The equation for this sequence is:
an = an-1 + 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 + 1
a6 = 5 + 1
a6 = 6
How many hours does it take a car to travel 150 miles at an average speed of 25 miles per hour?
| 3 hours | |
| 6 hours | |
| 1 hour | |
| 4 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{150mi}{25mph} \)
6 hours
Which of the following is a mixed number?
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\({5 \over 7} \) |
|
\(1 {2 \over 5} \) |
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.
What is \( \frac{1}{7} \) x \( \frac{4}{9} \)?
| \(\frac{1}{10}\) | |
| \(\frac{4}{15}\) | |
| \(\frac{3}{16}\) | |
| \(\frac{4}{63}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{7} \) x \( \frac{4}{9} \) = \( \frac{1 x 4}{7 x 9} \) = \( \frac{4}{63} \) = \(\frac{4}{63}\)
Ezra loaned Monica $1,200 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?
| $1,212 | |
| $1,284 | |
| $1,236 | |
| $1,272 |
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 $1,200
i = 0.06 x $1,200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,200 + $72