| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
10 members of a bridal party need transported to a wedding reception but there are only 3 3-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 6 | |
| 4 | |
| 9 |
There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 10 people needing transportation leaving 10 - 9 = 1 who will have to find other transportation.
What is \( \frac{-8x^7}{6x^4} \)?
| -\(\frac{3}{4}\)x-3 | |
| -1\(\frac{1}{3}\)x11 | |
| -1\(\frac{1}{3}\)x3 | |
| -\(\frac{3}{4}\)x3 |
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:
\( \frac{-8x^7}{6x^4} \)
\( \frac{-8}{6} \) x(7 - 4)
-1\(\frac{1}{3}\)x3
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
commutative property for multiplication |
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commutative property for division |
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distributive property for multiplication |
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distributive property for division |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
If there were a total of 150 raffle tickets sold and you bought 4 tickets, what's the probability that you'll win the raffle?
| 3% | |
| 6% | |
| 15% | |
| 10% |
You have 4 out of the total of 150 raffle tickets sold so you have a (\( \frac{4}{150} \)) x 100 = \( \frac{4 \times 100}{150} \) = \( \frac{400}{150} \) = 3% chance to win the raffle.
Find the average of the following numbers: 13, 11, 16, 8.
| 12 | |
| 10 | |
| 9 | |
| 11 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{13 + 11 + 16 + 8}{4} \) = \( \frac{48}{4} \) = 12