| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.69 |
| Score | 0% | 74% |
What is the distance in miles of a trip that takes 6 hours at an average speed of 75 miles per hour?
| 450 miles | |
| 25 miles | |
| 490 miles | |
| 70 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 = \( 75mph \times 6h \)
450 miles
Frank loaned Monty $1,500 at an annual interest rate of 2%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $4 | |
| $27 | |
| $32 | |
| $30 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,500
i = 0.02 x $1,500
i = $30
What is \( \frac{20\sqrt{16}}{4\sqrt{8}} \)?
| 2 \( \sqrt{\frac{1}{5}} \) | |
| 5 \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{5}\) \( \sqrt{2} \) | |
| 5 \( \sqrt{2} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{20\sqrt{16}}{4\sqrt{8}} \)
\( \frac{20}{4} \) \( \sqrt{\frac{16}{8}} \)
5 \( \sqrt{2} \)
Convert x-3 to remove the negative exponent.
| \( \frac{-1}{-3x} \) | |
| \( \frac{1}{x^3} \) | |
| \( \frac{1}{x^{-3}} \) | |
| \( \frac{3}{x} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Monty buys two shirts, each with a regular price of $18, how much money will he save?
| $0.90 | |
| $4.50 | |
| $2.70 | |
| $6.30 |
By buying two shirts, Monty will save $18 x \( \frac{35}{100} \) = \( \frac{$18 x 35}{100} \) = \( \frac{$630}{100} \) = $6.30 on the second shirt.