| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 40% of his shots. If the guard takes 15 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?
| 21 | |
| 10 | |
| 20 | |
| 26 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{40}{100} \) = \( \frac{40 x 15}{100} \) = \( \frac{600}{100} \) = 6 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 = \( \frac{6}{\frac{30}{100}} \) = 6 x \( \frac{100}{30} \) = \( \frac{6 x 100}{30} \) = \( \frac{600}{30} \) = 20 shots
to make the same number of shots as the guard and thus score the same number of points.
Which of the following is not a prime number?
5 |
|
9 |
|
7 |
|
2 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Ezra buys two shirts, each with a regular price of $14, how much money will he save?
| $1.40 | |
| $5.60 | |
| $4.90 | |
| $2.80 |
By buying two shirts, Ezra will save $14 x \( \frac{20}{100} \) = \( \frac{$14 x 20}{100} \) = \( \frac{$280}{100} \) = $2.80 on the second shirt.
Simplify \( \sqrt{75} \)
| 3\( \sqrt{6} \) | |
| 8\( \sqrt{6} \) | |
| 5\( \sqrt{3} \) | |
| 2\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{75} \)
\( \sqrt{25 \times 3} \)
\( \sqrt{5^2 \times 3} \)
5\( \sqrt{3} \)
If a mayor is elected with 82% of the votes cast and 50% of a town's 20,000 voters cast a vote, how many votes did the mayor receive?
| 7,000 | |
| 7,600 | |
| 6,800 | |
| 8,200 |
If 50% of the town's 20,000 voters cast ballots the number of votes cast is:
(\( \frac{50}{100} \)) x 20,000 = \( \frac{1,000,000}{100} \) = 10,000
The mayor got 82% of the votes cast which is:
(\( \frac{82}{100} \)) x 10,000 = \( \frac{820,000}{100} \) = 8,200 votes.