| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.58 |
| Score | 0% | 72% |
What is \( \frac{18\sqrt{36}}{6\sqrt{9}} \)?
| \(\frac{1}{3}\) \( \sqrt{4} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{4}} \) | |
| 3 \( \sqrt{4} \) | |
| \(\frac{1}{4}\) \( \sqrt{\frac{1}{3}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{18\sqrt{36}}{6\sqrt{9}} \)
\( \frac{18}{6} \) \( \sqrt{\frac{36}{9}} \)
3 \( \sqrt{4} \)
Convert z-5 to remove the negative exponent.
| \( \frac{1}{z^5} \) | |
| \( \frac{-5}{-z} \) | |
| \( \frac{5}{z} \) | |
| \( \frac{-5}{z} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is the distance in miles of a trip that takes 4 hours at an average speed of 55 miles per hour?
| 300 miles | |
| 385 miles | |
| 220 miles | |
| 175 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 = \( 55mph \times 4h \)
220 miles
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Monty buys two shirts, each with a regular price of $35, how much money will he save?
| $14.00 | |
| $5.25 | |
| $8.75 | |
| $3.50 |
By buying two shirts, Monty will save $35 x \( \frac{10}{100} \) = \( \frac{$35 x 10}{100} \) = \( \frac{$350}{100} \) = $3.50 on the second shirt.
A bread recipe calls for 3\(\frac{1}{8}\) cups of flour. If you only have \(\frac{3}{4}\) cup, how much more flour is needed?
| 2 cups | |
| 3\(\frac{3}{8}\) cups | |
| 1\(\frac{1}{2}\) cups | |
| 2\(\frac{3}{8}\) cups |
The amount of flour you need is (3\(\frac{1}{8}\) - \(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{25}{8} \) - \( \frac{6}{8} \)) cups
\( \frac{19}{8} \) cups
2\(\frac{3}{8}\) cups