| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
What is the distance in miles of a trip that takes 7 hours at an average speed of 60 miles per hour?
| 50 miles | |
| 210 miles | |
| 195 miles | |
| 420 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 = \( 60mph \times 7h \)
420 miles
13 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?
| 5 | |
| 4 | |
| 3 | |
| 6 |
There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 13 people needing transportation leaving 13 - 8 = 5 who will have to find other transportation.
What is \( \frac{2}{6} \) x \( \frac{2}{6} \)?
| \(\frac{2}{3}\) | |
| \(\frac{1}{9}\) | |
| \(\frac{3}{56}\) | |
| \(\frac{1}{21}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{6} \) x \( \frac{2}{6} \) = \( \frac{2 x 2}{6 x 6} \) = \( \frac{4}{36} \) = \(\frac{1}{9}\)
Which of the following statements about exponents is false?
b1 = b |
|
b0 = 1 |
|
all of these are false |
|
b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
Solve for \( \frac{6!}{4!} \)
| 30 | |
| \( \frac{1}{210} \) | |
| \( \frac{1}{15120} \) | |
| \( \frac{1}{30} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{6!}{4!} \)
\( \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{6 \times 5}{1} \)
\( 6 \times 5 \)
30