| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
What is the distance in miles of a trip that takes 3 hours at an average speed of 60 miles per hour?
| 375 miles | |
| 180 miles | |
| 275 miles | |
| 200 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 = \( 60mph \times 3h \)
180 miles
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Ezra buys two shirts, each with a regular price of $18, how much will he pay for both shirts?
| $31.50 | |
| $13.50 | |
| $26.10 | |
| $4.50 |
By buying two shirts, Ezra will save $18 x \( \frac{25}{100} \) = \( \frac{$18 x 25}{100} \) = \( \frac{$450}{100} \) = $4.50 on the second shirt.
So, his total cost will be
$18.00 + ($18.00 - $4.50)
$18.00 + $13.50
$31.50
What is 4\( \sqrt{8} \) x 3\( \sqrt{2} \)?
| 7\( \sqrt{16} \) | |
| 7\( \sqrt{8} \) | |
| 48 | |
| 12\( \sqrt{10} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
4\( \sqrt{8} \) x 3\( \sqrt{2} \)
(4 x 3)\( \sqrt{8 \times 2} \)
12\( \sqrt{16} \)
Now we need to simplify the radical:
12\( \sqrt{16} \)
12\( \sqrt{4^2} \)
(12)(4)
48
How many hours does it take a car to travel 180 miles at an average speed of 20 miles per hour?
| 2 hours | |
| 9 hours | |
| 3 hours | |
| 8 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 = \( \frac{180mi}{20mph} \)
9 hours
Convert c-5 to remove the negative exponent.
| \( \frac{-5}{c} \) | |
| \( \frac{1}{c^5} \) | |
| \( \frac{-1}{-5c} \) | |
| \( \frac{-1}{c^{-5}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.