| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
How many hours does it take a car to travel 50 miles at an average speed of 50 miles per hour?
| 3 hours | |
| 9 hours | |
| 1 hour | |
| 5 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{50mi}{50mph} \)
1 hour
In a class of 21 students, 6 are taking German and 6 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 15 | |
| 21 | |
| 20 | |
| 12 |
The number of students taking German or Spanish is 6 + 6 = 12. Of that group of 12, 3 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 12 - 3 = 9 who are taking at least one language. 21 - 9 = 12 students who are not taking either language.
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
least common multiple |
|
greatest common factor |
|
least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Frank buys two shirts, each with a regular price of $46, how much money will he save?
| $13.80 | |
| $4.60 | |
| $6.90 | |
| $2.30 |
By buying two shirts, Frank will save $46 x \( \frac{15}{100} \) = \( \frac{$46 x 15}{100} \) = \( \frac{$690}{100} \) = $6.90 on the second shirt.
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
|
fraction |
|
mixed number |
|
integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.