| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.81 |
| Score | 0% | 56% |
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 47,000 seats in a stadium are filled, how many home fans are in attendance?
| 25,333 | |
| 28,667 | |
| 39,167 | |
| 31,667 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
47,000 fans x \( \frac{5}{6} \) = \( \frac{235000}{6} \) = 39,167 fans.
If all of a roofing company's 8 workers are required to staff 4 roofing crews, how many workers need to be added during the busy season in order to send 7 complete crews out on jobs?
| 6 | |
| 11 | |
| 12 | |
| 5 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 8 workers at the company now and that's enough to staff 4 crews so there are \( \frac{8}{4} \) = 2 workers on a crew. 7 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 7 x 2 = 14 total workers to staff the crews during the busy season. The company already employs 8 workers so they need to add 14 - 8 = 6 new staff for the busy season.
A bread recipe calls for 3\(\frac{1}{8}\) cups of flour. If you only have \(\frac{3}{8}\) cup, how much more flour is needed?
| 2\(\frac{3}{4}\) cups | |
| \(\frac{3}{4}\) cups | |
| 1\(\frac{7}{8}\) cups | |
| 3\(\frac{1}{4}\) cups |
The amount of flour you need is (3\(\frac{1}{8}\) - \(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{25}{8} \) - \( \frac{3}{8} \)) cups
\( \frac{22}{8} \) cups
2\(\frac{3}{4}\) cups
Which of the following statements about exponents is false?
b1 = b |
|
all of these are false |
|
b0 = 1 |
|
b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
Which of these numbers is a factor of 28?
| 24 | |
| 8 | |
| 2 | |
| 4 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 28 are 1, 2, 4, 7, 14, 28.