| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
What is \( \frac{-7a^5}{2a^4} \)?
| -\(\frac{2}{7}\)a-1 | |
| -3\(\frac{1}{2}\)a | |
| -3\(\frac{1}{2}\)a\(\frac{4}{5}\) | |
| -3\(\frac{1}{2}\)a-1 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-7a^5}{2a^4} \)
\( \frac{-7}{2} \) a(5 - 4)
-3\(\frac{1}{2}\)a
In a class of 26 students, 6 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 9 | |
| 22 | |
| 16 | |
| 14 |
The number of students taking German or Spanish is 6 + 14 = 20. Of that group of 20, 3 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 20 - 3 = 17 who are taking at least one language. 26 - 17 = 9 students who are not taking either language.
Which of the following is not an integer?
-1 |
|
1 |
|
0 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Monty buys two shirts, each with a regular price of $37, how much will he pay for both shirts?
| $42.55 | |
| $53.65 | |
| $44.40 | |
| $55.50 |
By buying two shirts, Monty will save $37 x \( \frac{50}{100} \) = \( \frac{$37 x 50}{100} \) = \( \frac{$1850}{100} \) = $18.50 on the second shirt.
So, his total cost will be
$37.00 + ($37.00 - $18.50)
$37.00 + $18.50
$55.50
Convert c-4 to remove the negative exponent.
| \( \frac{1}{c^{-4}} \) | |
| \( \frac{1}{c^4} \) | |
| \( \frac{-1}{c^{-4}} \) | |
| \( \frac{-1}{-4c^{4}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.