| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
What is (a2)5?
| 2a5 | |
| a10 | |
| a7 | |
| 5a2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(a2)5If there were a total of 450 raffle tickets sold and you bought 40 tickets, what's the probability that you'll win the raffle?
| 9% | |
| 5% | |
| 15% | |
| 12% |
You have 40 out of the total of 450 raffle tickets sold so you have a (\( \frac{40}{450} \)) x 100 = \( \frac{40 \times 100}{450} \) = \( \frac{4000}{450} \) = 9% chance to win the raffle.
On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 45% of his shots. If the guard takes 15 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?
| 10 | |
| 15 | |
| 23 | |
| 19 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{45}{100} \) = \( \frac{45 x 15}{100} \) = \( \frac{675}{100} \) = 6 shots
The center makes 40% 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 = \( \frac{6}{\frac{40}{100}} \) = 6 x \( \frac{100}{40} \) = \( \frac{6 x 100}{40} \) = \( \frac{600}{40} \) = 15 shots
to make the same number of shots as the guard and thus score the same number of points.
The total water usage for a city is 25,000 gallons each day. Of that total, 21% is for personal use and 41% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 5,000 | |
| 10,500 | |
| 7,500 | |
| 2,800 |
41% of the water consumption is industrial use and 21% is personal use so (41% - 21%) = 20% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{20}{100} \) x 25,000 gallons = 5,000 gallons.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
| 1:8 | |
| 3:4 | |
| 7:4 | |
| 25:2 |
The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.