| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
25 members of a bridal party need transported to a wedding reception but there are only 4 5-passenger taxis available to take them. How many will need to find other transportation?
| 6 | |
| 5 | |
| 9 | |
| 3 |
There are 4 5-passenger taxis available so that's 4 x 5 = 20 total seats. There are 25 people needing transportation leaving 25 - 20 = 5 who will have to find other transportation.
How many hours does it take a car to travel 150 miles at an average speed of 30 miles per hour?
| 7 hours | |
| 4 hours | |
| 5 hours | |
| 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 = \( \frac{150mi}{30mph} \)
5 hours
What is \( \frac{5}{5} \) - \( \frac{4}{7} \)?
| 2 \( \frac{9}{35} \) | |
| 1 \( \frac{4}{35} \) | |
| \(\frac{3857}{9000}\) | |
| 2 \( \frac{6}{35} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [35, 70] making 35 the smallest multiple 5 and 7 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{5 x 7}{5 x 7} \) - \( \frac{4 x 5}{7 x 5} \)
\( \frac{35}{35} \) - \( \frac{20}{35} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{35 - 20}{35} \) = \( \frac{15}{35} \) = \(\frac{3857}{9000}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Roger buys two shirts, each with a regular price of $45, how much money will he save?
| $11.25 | |
| $15.75 | |
| $20.25 | |
| $6.75 |
By buying two shirts, Roger will save $45 x \( \frac{35}{100} \) = \( \frac{$45 x 35}{100} \) = \( \frac{$1575}{100} \) = $15.75 on the second shirt.
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
|
a = -7 |
|
a = 7 |
|
none of these is correct |
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).