| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
Find the average of the following numbers: 13, 11, 15, 9.
| 14 | |
| 10 | |
| 8 | |
| 12 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{13 + 11 + 15 + 9}{4} \) = \( \frac{48}{4} \) = 12
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for multiplication |
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distributive property for division |
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commutative property for division |
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commutative property for multiplication |
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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 52 | |
| 41 | |
| 40 | |
| 46 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
What is \( \frac{10\sqrt{16}}{5\sqrt{8}} \)?
| 2 \( \sqrt{\frac{1}{2}} \) | |
| 2 \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{10\sqrt{16}}{5\sqrt{8}} \)
\( \frac{10}{5} \) \( \sqrt{\frac{16}{8}} \)
2 \( \sqrt{2} \)
7 members of a bridal party need transported to a wedding reception but there are only 2 3-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 4 | |
| 5 | |
| 9 |
There are 2 3-passenger taxis available so that's 2 x 3 = 6 total seats. There are 7 people needing transportation leaving 7 - 6 = 1 who will have to find other transportation.