| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
Find the average of the following numbers: 7, 5, 7, 5.
| 5 | |
| 3 | |
| 2 | |
| 6 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{7 + 5 + 7 + 5}{4} \) = \( \frac{24}{4} \) = 6
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
least common multiple |
|
absolute value |
|
greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is \( 8 \)\( \sqrt{75} \) - \( 5 \)\( \sqrt{3} \)
| 35\( \sqrt{3} \) | |
| 3\( \sqrt{225} \) | |
| 40\( \sqrt{75} \) | |
| 3\( \sqrt{75} \) |
To subtract these radicals together their radicands must be the same:
8\( \sqrt{75} \) - 5\( \sqrt{3} \)
8\( \sqrt{25 \times 3} \) - 5\( \sqrt{3} \)
8\( \sqrt{5^2 \times 3} \) - 5\( \sqrt{3} \)
(8)(5)\( \sqrt{3} \) - 5\( \sqrt{3} \)
40\( \sqrt{3} \) - 5\( \sqrt{3} \)
Now that the radicands are identical, you can subtract them:
40\( \sqrt{3} \) - 5\( \sqrt{3} \)Charlie loaned April $800 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $848 | |
| $864 | |
| $856 | |
| $824 |
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 = 0.08 x $800
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $800 + $64On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 45% of his shots. If the guard takes 30 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 33 | |
| 59 | |
| 27 | |
| 39 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{45}{100} \) = \( \frac{45 x 30}{100} \) = \( \frac{1350}{100} \) = 13 shots
The center makes 40% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{13}{\frac{40}{100}} \) = 13 x \( \frac{100}{40} \) = \( \frac{13 x 100}{40} \) = \( \frac{1300}{40} \) = 33 shots
to make the same number of shots as the guard and thus score the same number of points.