| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
If a car travels 360 miles in 9 hours, what is the average speed?
| 65 mph | |
| 40 mph | |
| 75 mph | |
| 30 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is \( \frac{4b^8}{6b^3} \)?
| 1\(\frac{1}{2}\)b5 | |
| 1\(\frac{1}{2}\)b11 | |
| \(\frac{2}{3}\)b5 | |
| \(\frac{2}{3}\)b\(\frac{3}{8}\) |
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:
\( \frac{4b^8}{6b^3} \)
\( \frac{4}{6} \) b(8 - 3)
\(\frac{2}{3}\)b5
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Charlie buys two shirts, each with a regular price of $19, how much will he pay for both shirts?
| $9.50 | |
| $20.90 | |
| $19.95 | |
| $28.50 |
By buying two shirts, Charlie will save $19 x \( \frac{50}{100} \) = \( \frac{$19 x 50}{100} \) = \( \frac{$950}{100} \) = $9.50 on the second shirt.
So, his total cost will be
$19.00 + ($19.00 - $9.50)
$19.00 + $9.50
$28.50
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 43,000 seats in a stadium are filled, how many home fans are in attendance?
| 34,400 | |
| 36,800 | |
| 25,500 | |
| 40,000 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
43,000 fans x \( \frac{4}{5} \) = \( \frac{172000}{5} \) = 34,400 fans.
What is -2x3 - 5x3?
| 3x6 | |
| 7x3 | |
| -7x-3 | |
| -7x3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-2x3 - 5x3
(-2 - 5)x3
-7x3