| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.60 |
| Score | 0% | 72% |
How many hours does it take a car to travel 135 miles at an average speed of 15 miles per hour?
| 1 hour | |
| 5 hours | |
| 7 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 = \( \frac{135mi}{15mph} \)
9 hours
What is the distance in miles of a trip that takes 9 hours at an average speed of 75 miles per hour?
| 75 miles | |
| 300 miles | |
| 150 miles | |
| 675 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 = \( 75mph \times 9h \)
675 miles
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Roger buys two shirts, each with a regular price of $50, how much will he pay for both shirts?
| $5.00 | |
| $57.50 | |
| $95.00 | |
| $67.50 |
By buying two shirts, Roger will save $50 x \( \frac{10}{100} \) = \( \frac{$50 x 10}{100} \) = \( \frac{$500}{100} \) = $5.00 on the second shirt.
So, his total cost will be
$50.00 + ($50.00 - $5.00)
$50.00 + $45.00
$95.00
What is \( \sqrt{\frac{9}{9}} \)?
| 1\(\frac{1}{5}\) | |
| \(\frac{4}{5}\) | |
| 1 | |
| 2 |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{9}{9}} \)
\( \frac{\sqrt{9}}{\sqrt{9}} \)
\( \frac{\sqrt{3^2}}{\sqrt{3^2}} \)
1
Convert 5,445,000 to scientific notation.
| 5.445 x 106 | |
| 5.445 x 10-5 | |
| 0.545 x 107 | |
| 54.45 x 105 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
5,445,000 in scientific notation is 5.445 x 106