| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
How many 16-passenger vans will it take to drive all 94 members of the football team to an away game?
| 4 vans | |
| 13 vans | |
| 12 vans | |
| 6 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{94}{16} \) = 5\(\frac{7}{8}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
What is \( \frac{1}{8} \) x \( \frac{1}{8} \)?
| \(\frac{1}{3}\) | |
| \(\frac{1}{64}\) | |
| \(\frac{1}{42}\) | |
| \(\frac{4}{45}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{8} \) x \( \frac{1}{8} \) = \( \frac{1 x 1}{8 x 8} \) = \( \frac{1}{64} \) = \(\frac{1}{64}\)
Roger loaned Damon $1,100 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $9 | |
| $66 | |
| $81 | |
| $16 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,100
i = 0.06 x $1,100
i = $66
What is \( \frac{10\sqrt{49}}{5\sqrt{7}} \)?
| 2 \( \sqrt{7} \) | |
| \(\frac{1}{7}\) \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{7}} \) | |
| 7 \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{10\sqrt{49}}{5\sqrt{7}} \)
\( \frac{10}{5} \) \( \sqrt{\frac{49}{7}} \)
2 \( \sqrt{7} \)
Convert 8,994,000 to scientific notation.
| 8.994 x 106 | |
| 8.994 x 105 | |
| 89.94 x 105 | |
| 8.994 x 107 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
8,994,000 in scientific notation is 8.994 x 106