| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
21 members of a bridal party need transported to a wedding reception but there are only 4 4-passenger taxis available to take them. How many will need to find other transportation?
| 7 | |
| 4 | |
| 2 | |
| 5 |
There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 21 people needing transportation leaving 21 - 16 = 5 who will have to find other transportation.
What is (z2)5?
| 5z2 | |
| z7 | |
| z-3 | |
| z10 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z2)5A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 9 to 2 and the ratio of baseball to basketball cards is 9 to 1, what is the ratio of football to basketball cards?
| 81:2 | |
| 3:1 | |
| 9:6 | |
| 7:8 |
The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.
What is \( \frac{28\sqrt{15}}{4\sqrt{3}} \)?
| 5 \( \sqrt{7} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{5}} \) | |
| 7 \( \sqrt{5} \) | |
| \(\frac{1}{7}\) \( \sqrt{5} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{28\sqrt{15}}{4\sqrt{3}} \)
\( \frac{28}{4} \) \( \sqrt{\frac{15}{3}} \)
7 \( \sqrt{5} \)
What is -4c3 x 8c2?
| -32c5 | |
| 4c6 | |
| -32c | |
| -32c-1 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-4c3 x 8c2
(-4 x 8)c(3 + 2)
-32c5