| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
14 members of a bridal party need transported to a wedding reception but there are only 2 5-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 6 | |
| 4 | |
| 8 |
There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 14 people needing transportation leaving 14 - 10 = 4 who will have to find other transportation.
If \( \left|x + 8\right| \) + 4 = 4, which of these is a possible value for x?
| 9 | |
| -7 | |
| -19 | |
| -8 |
First, solve for \( \left|x + 8\right| \):
\( \left|x + 8\right| \) + 4 = 4
\( \left|x + 8\right| \) = 4 - 4
\( \left|x + 8\right| \) = 0
The value inside the absolute value brackets can be either positive or negative so (x + 8) must equal + 0 or -0 for \( \left|x + 8\right| \) to equal 0:
| x + 8 = 0 x = 0 - 8 x = -8 | x + 8 = 0 x = 0 - 8 x = -8 |
So, x = -8 or x = -8.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 35% larger than the original. By what percentage has the area of the logo increased?
| 37\(\frac{1}{2}\)% | |
| 17\(\frac{1}{2}\)% | |
| 25% | |
| 22\(\frac{1}{2}\)% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 35% the radius (and, consequently, the total area) increases by \( \frac{35\text{%}}{2} \) = 17\(\frac{1}{2}\)%
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Damon buys two shirts, each with a regular price of $48, how much money will he save?
| $24.00 | |
| $9.60 | |
| $14.40 | |
| $7.20 |
By buying two shirts, Damon will save $48 x \( \frac{15}{100} \) = \( \frac{$48 x 15}{100} \) = \( \frac{$720}{100} \) = $7.20 on the second shirt.
How many hours does it take a car to travel 90 miles at an average speed of 30 miles per hour?
| 9 hours | |
| 8 hours | |
| 3 hours | |
| 4 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 = \( \frac{90mi}{30mph} \)
3 hours