| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
How many 13-passenger vans will it take to drive all 31 members of the football team to an away game?
| 8 vans | |
| 5 vans | |
| 15 vans | |
| 3 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{31}{13} \) = 2\(\frac{5}{13}\)
So, it will take 2 full vans and one partially full van to transport the entire team making a total of 3 vans.
Which of the following statements about exponents is false?
b1 = 1 |
|
all of these are false |
|
b0 = 1 |
|
b1 = b |
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).
In a class of 22 students, 8 are taking German and 9 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 18 | |
| 7 | |
| 22 | |
| 12 |
The number of students taking German or Spanish is 8 + 9 = 17. Of that group of 17, 2 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 17 - 2 = 15 who are taking at least one language. 22 - 15 = 7 students who are not taking either language.
A bread recipe calls for 3\(\frac{3}{8}\) cups of flour. If you only have \(\frac{3}{4}\) cup, how much more flour is needed?
| 2\(\frac{5}{8}\) cups | |
| 2\(\frac{7}{8}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| \(\frac{1}{2}\) cups |
The amount of flour you need is (3\(\frac{3}{8}\) - \(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{27}{8} \) - \( \frac{6}{8} \)) cups
\( \frac{21}{8} \) cups
2\(\frac{5}{8}\) cups
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 38,000 seats in a stadium are filled, how many home fans are in attendance?
| 25,333 | |
| 30,400 | |
| 25,000 | |
| 33,600 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
38,000 fans x \( \frac{4}{5} \) = \( \frac{152000}{5} \) = 30,400 fans.