| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
What is \( \frac{3}{8} \) x \( \frac{2}{7} \)?
| \(\frac{2}{9}\) | |
| \(\frac{6}{25}\) | |
| \(\frac{1}{14}\) | |
| \(\frac{3}{28}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{2}{7} \) = \( \frac{3 x 2}{8 x 7} \) = \( \frac{6}{56} \) = \(\frac{3}{28}\)
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
|
none of these is correct |
|
a = 7 |
|
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).
Bob loaned Monica $1,400 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,470 | |
| $1,526 | |
| $1,456 | |
| $1,512 |
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 = 0.05 x $1,400
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,400 + $70What is \( 9 \)\( \sqrt{12} \) + \( 8 \)\( \sqrt{3} \)
| 17\( \sqrt{3} \) | |
| 72\( \sqrt{3} \) | |
| 17\( \sqrt{12} \) | |
| 26\( \sqrt{3} \) |
To add these radicals together their radicands must be the same:
9\( \sqrt{12} \) + 8\( \sqrt{3} \)
9\( \sqrt{4 \times 3} \) + 8\( \sqrt{3} \)
9\( \sqrt{2^2 \times 3} \) + 8\( \sqrt{3} \)
(9)(2)\( \sqrt{3} \) + 8\( \sqrt{3} \)
18\( \sqrt{3} \) + 8\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
18\( \sqrt{3} \) + 8\( \sqrt{3} \)How many 13-passenger vans will it take to drive all 67 members of the football team to an away game?
| 3 vans | |
| 8 vans | |
| 6 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{67}{13} \) = 5\(\frac{2}{13}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.