| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
If there were a total of 250 raffle tickets sold and you bought 5 tickets, what's the probability that you'll win the raffle?
| 2% | |
| 6% | |
| 3% | |
| 11% |
You have 5 out of the total of 250 raffle tickets sold so you have a (\( \frac{5}{250} \)) x 100 = \( \frac{5 \times 100}{250} \) = \( \frac{500}{250} \) = 2% chance to win the raffle.
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 9 gallon tank to fill it exactly halfway?
| 3 | |
| 2 | |
| 3 | |
| 6 |
To fill a 9 gallon tank exactly halfway you'll need 4\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{4\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 3
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 30,000 seats in a stadium are filled, how many home fans are in attendance?
| 24,000 | |
| 36,000 | |
| 26,250 | |
| 31,333 |
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:
30,000 fans x \( \frac{4}{5} \) = \( \frac{120000}{5} \) = 24,000 fans.
What is 8a4 x 6a7?
| 14a4 | |
| 48a3 | |
| 48a11 | |
| 48a7 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
8a4 x 6a7
(8 x 6)a(4 + 7)
48a11
In a class of 29 students, 10 are taking German and 12 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 27 | |
| 9 | |
| 16 | |
| 13 |
The number of students taking German or Spanish is 10 + 12 = 22. Of that group of 22, 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 22 - 2 = 20 who are taking at least one language. 29 - 20 = 9 students who are not taking either language.