| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
Convert y-5 to remove the negative exponent.
| \( \frac{-5}{y} \) | |
| \( \frac{-1}{y^{-5}} \) | |
| \( \frac{-1}{-5y} \) | |
| \( \frac{1}{y^5} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
| 4.5 | |
| 2.4 | |
| 1 | |
| 5.6 |
1
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 37,000 seats in a stadium are filled, how many home fans are in attendance?
| 24,750 | |
| 33,333 | |
| 30,833 | |
| 27,333 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
37,000 fans x \( \frac{5}{6} \) = \( \frac{185000}{6} \) = 30,833 fans.
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
least common factor |
|
least common multiple |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is the distance in miles of a trip that takes 6 hours at an average speed of 40 miles per hour?
| 175 miles | |
| 240 miles | |
| 520 miles | |
| 90 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 40mph \times 6h \)
240 miles