| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.84 |
| Score | 0% | 77% |
What is the distance in miles of a trip that takes 7 hours at an average speed of 35 miles per hour?
| 60 miles | |
| 195 miles | |
| 180 miles | |
| 245 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 = \( 35mph \times 7h \)
245 miles
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 61 | |
| 69 | |
| 65 | |
| 52 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61
What is 3x3 - 4x3?
| x-3 | |
| -x3 | |
| 7x-6 | |
| 7x9 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
3x3 - 4x3
(3 - 4)x3
-x3
Ezra loaned Roger $1,300 at an annual interest rate of 3%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $39 | |
| $63 | |
| $40 | |
| $32 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,300
i = 0.03 x $1,300
i = $39
How many hours does it take a car to travel 150 miles at an average speed of 50 miles per hour?
| 6 hours | |
| 3 hours | |
| 1 hour | |
| 9 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 = \( \frac{150mi}{50mph} \)
3 hours