| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
On average, the center for a basketball team hits 35% 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?
| 26 | |
| 32 | |
| 34 | |
| 60 |
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 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 = \( \frac{12}{\frac{35}{100}} \) = 12 x \( \frac{100}{35} \) = \( \frac{12 x 100}{35} \) = \( \frac{1200}{35} \) = 34 shots
to make the same number of shots as the guard and thus score the same number of points.
If a mayor is elected with 88% of the votes cast and 87% of a town's 21,000 voters cast a vote, how many votes did the mayor receive?
| 9,683 | |
| 14,068 | |
| 16,078 | |
| 11,145 |
If 87% of the town's 21,000 voters cast ballots the number of votes cast is:
(\( \frac{87}{100} \)) x 21,000 = \( \frac{1,827,000}{100} \) = 18,270
The mayor got 88% of the votes cast which is:
(\( \frac{88}{100} \)) x 18,270 = \( \frac{1,607,760}{100} \) = 16,078 votes.
Which of the following is not an integer?
\({1 \over 2}\) |
|
1 |
|
-1 |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
How many 2 gallon cans worth of fuel would you need to pour into an empty 16 gallon tank to fill it exactly halfway?
| 8 | |
| 3 | |
| 35 | |
| 4 |
To fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4
Simplify \( \frac{16}{48} \).
| \( \frac{7}{20} \) | |
| \( \frac{5}{14} \) | |
| \( \frac{1}{3} \) | |
| \( \frac{7}{18} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]. They share 5 factors [1, 2, 4, 8, 16] making 16 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{16}{48} \) = \( \frac{\frac{16}{16}}{\frac{48}{16}} \) = \( \frac{1}{3} \)