| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Damon buys two shirts, each with a regular price of $15, how much will he pay for both shirts?
| $18.00 | |
| $18.75 | |
| $26.25 | |
| $3.75 |
By buying two shirts, Damon will save $15 x \( \frac{25}{100} \) = \( \frac{$15 x 25}{100} \) = \( \frac{$375}{100} \) = $3.75 on the second shirt.
So, his total cost will be
$15.00 + ($15.00 - $3.75)
$15.00 + $11.25
$26.25
How many hours does it take a car to travel 350 miles at an average speed of 50 miles per hour?
| 1 hour | |
| 4 hours | |
| 7 hours | |
| 3 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 = \( \frac{350mi}{50mph} \)
7 hours
Solve for \( \frac{3!}{6!} \)
| \( \frac{1}{120} \) | |
| \( \frac{1}{6720} \) | |
| \( \frac{1}{15120} \) | |
| \( \frac{1}{210} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{3!}{6!} \)
\( \frac{3 \times 2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6 \times 5 \times 4} \)
\( \frac{1}{120} \)
What is \( \frac{35\sqrt{35}}{5\sqrt{7}} \)?
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{7}} \) | |
| \(\frac{1}{7}\) \( \sqrt{5} \) | |
| 5 \( \sqrt{\frac{1}{7}} \) | |
| 7 \( \sqrt{5} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{35\sqrt{35}}{5\sqrt{7}} \)
\( \frac{35}{5} \) \( \sqrt{\frac{35}{7}} \)
7 \( \sqrt{5} \)
The total water usage for a city is 25,000 gallons each day. Of that total, 19% is for personal use and 42% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 10,500 | |
| 5,750 | |
| 5,700 | |
| 8,500 |
42% of the water consumption is industrial use and 19% is personal use so (42% - 19%) = 23% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{23}{100} \) x 25,000 gallons = 5,750 gallons.