| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
If a car travels 275 miles in 5 hours, what is the average speed?
| 55 mph | |
| 30 mph | |
| 70 mph | |
| 15 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If \( \left|c - 3\right| \) - 2 = -6, which of these is a possible value for c?
| 0 | |
| -11 | |
| 7 | |
| 3 |
First, solve for \( \left|c - 3\right| \):
\( \left|c - 3\right| \) - 2 = -6
\( \left|c - 3\right| \) = -6 + 2
\( \left|c - 3\right| \) = -4
The value inside the absolute value brackets can be either positive or negative so (c - 3) must equal - 4 or --4 for \( \left|c - 3\right| \) to equal -4:
| c - 3 = -4 c = -4 + 3 c = -1 | c - 3 = 4 c = 4 + 3 c = 7 |
So, c = 7 or c = -1.
What is \( \frac{21\sqrt{10}}{3\sqrt{5}} \)?
| \(\frac{1}{7}\) \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{7}} \) | |
| 7 \( \sqrt{2} \) | |
| 7 \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{21\sqrt{10}}{3\sqrt{5}} \)
\( \frac{21}{3} \) \( \sqrt{\frac{10}{5}} \)
7 \( \sqrt{2} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Frank buys two shirts, each with a regular price of $43, how much money will he save?
| $8.60 | |
| $12.90 | |
| $4.30 | |
| $6.45 |
By buying two shirts, Frank will save $43 x \( \frac{15}{100} \) = \( \frac{$43 x 15}{100} \) = \( \frac{$645}{100} \) = $6.45 on the second shirt.
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 27 | |
| 31 | |
| 40 | |
| 39 |
The equation for this sequence is:
an = an-1 + 2(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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31