| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
What is the distance in miles of a trip that takes 6 hours at an average speed of 30 miles per hour?
| 135 miles | |
| 490 miles | |
| 180 miles | |
| 480 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 = \( 30mph \times 6h \)
180 miles
Which of the following is not an integer?
1 |
|
-1 |
|
\({1 \over 2}\) |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is the least common multiple of 4 and 6?
| 12 | |
| 14 | |
| 16 | |
| 7 |
The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 6 have in common.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
least common multiple |
|
absolute value |
|
least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
25 members of a bridal party need transported to a wedding reception but there are only 4 5-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 7 | |
| 5 | |
| 6 |
There are 4 5-passenger taxis available so that's 4 x 5 = 20 total seats. There are 25 people needing transportation leaving 25 - 20 = 5 who will have to find other transportation.