| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
6 members of a bridal party need transported to a wedding reception but there are only 2 2-passenger taxis available to take them. How many will need to find other transportation?
| 9 | |
| 2 | |
| 7 | |
| 5 |
There are 2 2-passenger taxis available so that's 2 x 2 = 4 total seats. There are 6 people needing transportation leaving 6 - 4 = 2 who will have to find other transportation.
What is \( \frac{9}{4} \) - \( \frac{7}{12} \)?
| \( \frac{8}{13} \) | |
| 1\(\frac{2}{3}\) | |
| \( \frac{3}{12} \) | |
| 1 \( \frac{5}{12} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 12 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{9 x 3}{4 x 3} \) - \( \frac{7 x 1}{12 x 1} \)
\( \frac{27}{12} \) - \( \frac{7}{12} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{27 - 7}{12} \) = \( \frac{20}{12} \) = 1\(\frac{2}{3}\)
What is \( \frac{8y^6}{3y^3} \)?
| 2\(\frac{2}{3}\)y2 | |
| 2\(\frac{2}{3}\)y-3 | |
| \(\frac{3}{8}\)y-3 | |
| 2\(\frac{2}{3}\)y3 |
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:
\( \frac{8y^6}{3y^3} \)
\( \frac{8}{3} \) y(6 - 3)
2\(\frac{2}{3}\)y3
Alex loaned Charlie $400 at an annual interest rate of 3%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $117 | |
| $55 | |
| $12 | |
| $78 |
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 $400
i = 0.03 x $400
i = $12
Which of these numbers is a factor of 32?
| 30 | |
| 4 | |
| 28 | |
| 15 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.