| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
How many hours does it take a car to travel 180 miles at an average speed of 45 miles per hour?
| 4 hours | |
| 1 hour | |
| 7 hours | |
| 8 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 = \( \frac{180mi}{45mph} \)
4 hours
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 |
|
none of these is correct |
|
a = -7 |
|
a = 7 or a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
Monty loaned Diane $1,400 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?
| $1,498 | |
| $1,470 | |
| $1,456 | |
| $1,484 |
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 $1,400
i = 0.06 x $1,400
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,400 + $84What is 4b3 x 4b3?
| 16b6 | |
| 8b6 | |
| 8b9 | |
| 16b3 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
4b3 x 4b3
(4 x 4)b(3 + 3)
16b6
Simplify \( \sqrt{80} \)
| 4\( \sqrt{5} \) | |
| 9\( \sqrt{10} \) | |
| 7\( \sqrt{5} \) | |
| 3\( \sqrt{10} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{80} \)
\( \sqrt{16 \times 5} \)
\( \sqrt{4^2 \times 5} \)
4\( \sqrt{5} \)