| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
A factor is a positive __________ that divides evenly into a given number.
integer |
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fraction |
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improper fraction |
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mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Damon buys two shirts, each with a regular price of $48, how much will he pay for both shirts?
| $50.40 | |
| $2.40 | |
| $45.60 | |
| $93.60 |
By buying two shirts, Damon will save $48 x \( \frac{5}{100} \) = \( \frac{$48 x 5}{100} \) = \( \frac{$240}{100} \) = $2.40 on the second shirt.
So, his total cost will be
$48.00 + ($48.00 - $2.40)
$48.00 + $45.60
$93.60
What is \( 9 \)\( \sqrt{45} \) + \( 3 \)\( \sqrt{5} \)
| 12\( \sqrt{225} \) | |
| 27\( \sqrt{45} \) | |
| 30\( \sqrt{5} \) | |
| 12\( \sqrt{9} \) |
To add these radicals together their radicands must be the same:
9\( \sqrt{45} \) + 3\( \sqrt{5} \)
9\( \sqrt{9 \times 5} \) + 3\( \sqrt{5} \)
9\( \sqrt{3^2 \times 5} \) + 3\( \sqrt{5} \)
(9)(3)\( \sqrt{5} \) + 3\( \sqrt{5} \)
27\( \sqrt{5} \) + 3\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
27\( \sqrt{5} \) + 3\( \sqrt{5} \)On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 55% 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?
| 46 | |
| 29 | |
| 36 | |
| 40 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{55}{100} \) = \( \frac{55 x 30}{100} \) = \( \frac{1650}{100} \) = 16 shots
The center makes 35% 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 = \( \frac{16}{\frac{35}{100}} \) = 16 x \( \frac{100}{35} \) = \( \frac{16 x 100}{35} \) = \( \frac{1600}{35} \) = 46 shots
to make the same number of shots as the guard and thus score the same number of points.
How many hours does it take a car to travel 80 miles at an average speed of 40 miles per hour?
| 1 hour | |
| 2 hours | |
| 9 hours | |
| 5 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 = \( \frac{80mi}{40mph} \)
2 hours