| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.83 |
| Score | 0% | 77% |
What is the distance in miles of a trip that takes 2 hours at an average speed of 70 miles per hour?
| 270 miles | |
| 175 miles | |
| 140 miles | |
| 200 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 = \( 70mph \times 2h \)
140 miles
Convert 0.000924 to scientific notation.
| 9.24 x 104 | |
| 92.4 x 10-5 | |
| 9.24 x 10-4 | |
| 0.924 x 10-3 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.000924 in scientific notation is 9.24 x 10-4
How many 14-passenger vans will it take to drive all 73 members of the football team to an away game?
| 5 vans | |
| 7 vans | |
| 6 vans | |
| 12 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{73}{14} \) = 5\(\frac{3}{14}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
What is (b5)5?
| 5b5 | |
| b25 | |
| b10 | |
| b0 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b5)5What is 2y6 x 8y7?
| 16y | |
| 16y6 | |
| 16y13 | |
| 16y42 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
2y6 x 8y7
(2 x 8)y(6 + 7)
16y13