| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 70% 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?
| 20 | |
| 17 | |
| 42 | |
| 23 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{70}{100} \) = \( \frac{70 x 15}{100} \) = \( \frac{1050}{100} \) = 10 shots
The center makes 50% 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 = \( \frac{10}{\frac{50}{100}} \) = 10 x \( \frac{100}{50} \) = \( \frac{10 x 100}{50} \) = \( \frac{1000}{50} \) = 20 shots
to make the same number of shots as the guard and thus score the same number of points.
If a car travels 240 miles in 4 hours, what is the average speed?
| 60 mph | |
| 65 mph | |
| 55 mph | |
| 20 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)In a class of 27 students, 15 are taking German and 6 are taking Spanish. Of the students studying German or Spanish, 5 are taking both courses. How many students are not enrolled in either course?
| 11 | |
| 10 | |
| 13 | |
| 24 |
The number of students taking German or Spanish is 15 + 6 = 21. Of that group of 21, 5 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 21 - 5 = 16 who are taking at least one language. 27 - 16 = 11 students who are not taking either language.
What is -a2 + 6a2?
| 7a2 | |
| -7a-2 | |
| 5a2 | |
| -7a2 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-1a2 + 6a2
(-1 + 6)a2
5a2
Which of the following is an improper fraction?
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.