| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
What is the distance in miles of a trip that takes 6 hours at an average speed of 40 miles per hour?
| 150 miles | |
| 225 miles | |
| 240 miles | |
| 270 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 40mph \times 6h \)
240 miles
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 $44, how much will he pay for both shirts?
| $81.40 | |
| $6.60 | |
| $37.40 | |
| $57.20 |
By buying two shirts, Frank will save $44 x \( \frac{15}{100} \) = \( \frac{$44 x 15}{100} \) = \( \frac{$660}{100} \) = $6.60 on the second shirt.
So, his total cost will be
$44.00 + ($44.00 - $6.60)
$44.00 + $37.40
$81.40
If there were a total of 300 raffle tickets sold and you bought 18 tickets, what's the probability that you'll win the raffle?
| 1% | |
| 8% | |
| 6% | |
| 16% |
You have 18 out of the total of 300 raffle tickets sold so you have a (\( \frac{18}{300} \)) x 100 = \( \frac{18 \times 100}{300} \) = \( \frac{1800}{300} \) = 6% chance to win the raffle.
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 62 | |
| 54 | |
| 55 | |
| 61 |
The equation for this sequence is:
an = an-1 + 4(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 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61
Simplify \( \sqrt{32} \)
| 6\( \sqrt{4} \) | |
| 4\( \sqrt{2} \) | |
| 8\( \sqrt{4} \) | |
| 5\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{32} \)
\( \sqrt{16 \times 2} \)
\( \sqrt{4^2 \times 2} \)
4\( \sqrt{2} \)