| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
A bread recipe calls for 1\(\frac{7}{8}\) cups of flour. If you only have \(\frac{3}{4}\) cup, how much more flour is needed?
| 1 cups | |
| 2\(\frac{5}{8}\) cups | |
| 1\(\frac{7}{8}\) cups | |
| 1\(\frac{1}{8}\) cups |
The amount of flour you need is (1\(\frac{7}{8}\) - \(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{15}{8} \) - \( \frac{6}{8} \)) cups
\( \frac{9}{8} \) cups
1\(\frac{1}{8}\) cups
What is \( \frac{3a^9}{1a^2} \)?
| 3a-7 | |
| 3a4\(\frac{1}{2}\) | |
| 3a7 | |
| \(\frac{1}{3}\)a11 |
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:
\( \frac{3a^9}{a^2} \)
\( \frac{3}{1} \) a(9 - 2)
3a7
On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 50% 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?
| 22 | |
| 24 | |
| 40 | |
| 23 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{50}{100} \) = \( \frac{50 x 25}{100} \) = \( \frac{1250}{100} \) = 12 shots
The center makes 30% 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 = \( \frac{12}{\frac{30}{100}} \) = 12 x \( \frac{100}{30} \) = \( \frac{12 x 100}{30} \) = \( \frac{1200}{30} \) = 40 shots
to make the same number of shots as the guard and thus score the same number of points.
If there were a total of 450 raffle tickets sold and you bought 40 tickets, what's the probability that you'll win the raffle?
| 2% | |
| 11% | |
| 9% | |
| 18% |
You have 40 out of the total of 450 raffle tickets sold so you have a (\( \frac{40}{450} \)) x 100 = \( \frac{40 \times 100}{450} \) = \( \frac{4000}{450} \) = 9% chance to win the raffle.
What is the least common multiple of 6 and 8?
| 36 | |
| 24 | |
| 28 | |
| 15 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 6 and 8 have in common.