| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
If there were a total of 100 raffle tickets sold and you bought 9 tickets, what's the probability that you'll win the raffle?
| 9% | |
| 7% | |
| 5% | |
| 17% |
You have 9 out of the total of 100 raffle tickets sold so you have a (\( \frac{9}{100} \)) x 100 = \( \frac{9 \times 100}{100} \) = \( \frac{900}{100} \) = 9% chance to win the raffle.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Charlie buys two shirts, each with a regular price of $38, how much will he pay for both shirts?
| $19.00 | |
| $57.00 | |
| $43.70 | |
| $55.10 |
By buying two shirts, Charlie will save $38 x \( \frac{50}{100} \) = \( \frac{$38 x 50}{100} \) = \( \frac{$1900}{100} \) = $19.00 on the second shirt.
So, his total cost will be
$38.00 + ($38.00 - $19.00)
$38.00 + $19.00
$57.00
What is the next number in this sequence: 1, 10, 19, 28, 37, __________ ?
| 46 | |
| 49 | |
| 45 | |
| 54 |
The equation for this sequence is:
an = an-1 + 9
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 9
a6 = 37 + 9
a6 = 46
What is \( \frac{-4b^6}{7b^4} \)?
| -\(\frac{4}{7}\)b\(\frac{2}{3}\) | |
| -\(\frac{4}{7}\)b1\(\frac{1}{2}\) | |
| -\(\frac{4}{7}\)b2 | |
| -1\(\frac{3}{4}\)b2 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-4b^6}{7b^4} \)
\( \frac{-4}{7} \) b(6 - 4)
-\(\frac{4}{7}\)b2
On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 60% of his shots. If the guard takes 25 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?
| 45 | |
| 33 | |
| 38 | |
| 30 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{60}{100} \) = \( \frac{60 x 25}{100} \) = \( \frac{1500}{100} \) = 15 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 = \( \frac{15}{\frac{40}{100}} \) = 15 x \( \frac{100}{40} \) = \( \frac{15 x 100}{40} \) = \( \frac{1500}{40} \) = 38 shots
to make the same number of shots as the guard and thus score the same number of points.