| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
If a car travels 220 miles in 4 hours, what is the average speed?
| 25 mph | |
| 55 mph | |
| 40 mph | |
| 70 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Find the average of the following numbers: 10, 4, 8, 6.
| 7 | |
| 5 | |
| 12 | |
| 9 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{10 + 4 + 8 + 6}{4} \) = \( \frac{28}{4} \) = 7
What is \( 3 \)\( \sqrt{50} \) + \( 9 \)\( \sqrt{2} \)
| 27\( \sqrt{25} \) | |
| 27\( \sqrt{50} \) | |
| 24\( \sqrt{2} \) | |
| 12\( \sqrt{100} \) |
To add these radicals together their radicands must be the same:
3\( \sqrt{50} \) + 9\( \sqrt{2} \)
3\( \sqrt{25 \times 2} \) + 9\( \sqrt{2} \)
3\( \sqrt{5^2 \times 2} \) + 9\( \sqrt{2} \)
(3)(5)\( \sqrt{2} \) + 9\( \sqrt{2} \)
15\( \sqrt{2} \) + 9\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
15\( \sqrt{2} \) + 9\( \sqrt{2} \)Which of the following statements about exponents is false?
b0 = 1 |
|
b1 = 1 |
|
b1 = b |
|
all of these are false |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
Monty loaned Betty $800 at an annual interest rate of 1%. If no payments are made, what is the total amount owed at the end of the first year?
| $872 | |
| $856 | |
| $808 | |
| $832 |
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 $800
i = 0.01 x $800
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $800 + $8