| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.70 |
| Score | 0% | 74% |
14 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation?
| 6 | |
| 1 | |
| 9 | |
| 2 |
There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 14 people needing transportation leaving 14 - 12 = 2 who will have to find other transportation.
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 |
|
a = -7 |
|
none of these is correct |
|
a = 7 or a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
What is -b4 - b4?
| -2b-4 | |
| 2b-4 | |
| -8 | |
| -2b4 |
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:
-1b4 - 1b4
(-1 - 1)b4
-2b4
What is the distance in miles of a trip that takes 8 hours at an average speed of 75 miles per hour?
| 45 miles | |
| 75 miles | |
| 60 miles | |
| 600 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 = \( 75mph \times 8h \)
600 miles
Monty loaned April $100 at an annual interest rate of 9%. If no payments are made, what is the total amount owed at the end of the first year?
| $104 | |
| $109 | |
| $106 | |
| $103 |
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 $100
i = 0.09 x $100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $100 + $9