| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
How many hours does it take a car to travel 240 miles at an average speed of 30 miles per hour?
| 1 hour | |
| 3 hours | |
| 9 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 = \( \frac{240mi}{30mph} \)
8 hours
What is 4\( \sqrt{6} \) x 2\( \sqrt{9} \)?
| 6\( \sqrt{6} \) | |
| 24\( \sqrt{6} \) | |
| 8\( \sqrt{15} \) | |
| 8\( \sqrt{6} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
4\( \sqrt{6} \) x 2\( \sqrt{9} \)
(4 x 2)\( \sqrt{6 \times 9} \)
8\( \sqrt{54} \)
Now we need to simplify the radical:
8\( \sqrt{54} \)
8\( \sqrt{6 \times 9} \)
8\( \sqrt{6 \times 3^2} \)
(8)(3)\( \sqrt{6} \)
24\( \sqrt{6} \)
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.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Bob buys two shirts, each with a regular price of $21, how much money will he save?
| $9.45 | |
| $1.05 | |
| $5.25 | |
| $7.35 |
By buying two shirts, Bob will save $21 x \( \frac{45}{100} \) = \( \frac{$21 x 45}{100} \) = \( \frac{$945}{100} \) = $9.45 on the second shirt.
What is (c4)4?
| 4c4 | |
| c16 | |
| c0 | |
| c8 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c4)4