| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
If a mayor is elected with 85% of the votes cast and 83% of a town's 38,000 voters cast a vote, how many votes did the mayor receive?
| 26,809 | |
| 19,870 | |
| 22,393 | |
| 21,132 |
If 83% of the town's 38,000 voters cast ballots the number of votes cast is:
(\( \frac{83}{100} \)) x 38,000 = \( \frac{3,154,000}{100} \) = 31,540
The mayor got 85% of the votes cast which is:
(\( \frac{85}{100} \)) x 31,540 = \( \frac{2,680,900}{100} \) = 26,809 votes.
Solve 3 + (4 + 5) ÷ 2 x 5 - 52
| 2 | |
| \(\frac{2}{9}\) | |
| \(\frac{1}{2}\) | |
| \(\frac{5}{6}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
3 + (4 + 5) ÷ 2 x 5 - 52
P: 3 + (9) ÷ 2 x 5 - 52
E: 3 + 9 ÷ 2 x 5 - 25
MD: 3 + \( \frac{9}{2} \) x 5 - 25
MD: 3 + \( \frac{45}{2} \) - 25
AS: \( \frac{6}{2} \) + \( \frac{45}{2} \) - 25
AS: \( \frac{51}{2} \) - 25
AS: \( \frac{51 - 50}{2} \)
\( \frac{1}{2} \)
\(\frac{1}{2}\)
How many 14-passenger vans will it take to drive all 76 members of the football team to an away game?
| 4 vans | |
| 6 vans | |
| 10 vans | |
| 12 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{76}{14} \) = 5\(\frac{3}{7}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
Convert 0.0001396 to scientific notation.
| 1.396 x 10-4 | |
| 1.396 x 105 | |
| 1.396 x 104 | |
| 0.14 x 10-3 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0001396 in scientific notation is 1.396 x 10-4
On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 35% of his shots. If the guard takes 10 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?
| 7 | |
| 6 | |
| 10 | |
| 12 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{35}{100} \) = \( \frac{35 x 10}{100} \) = \( \frac{350}{100} \) = 3 shots
The center makes 25% 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 = \( \frac{3}{\frac{25}{100}} \) = 3 x \( \frac{100}{25} \) = \( \frac{3 x 100}{25} \) = \( \frac{300}{25} \) = 12 shots
to make the same number of shots as the guard and thus score the same number of points.