| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
How many 12-passenger vans will it take to drive all 38 members of the football team to an away game?
| 7 vans | |
| 4 vans | |
| 5 vans | |
| 9 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{38}{12} \) = 3\(\frac{1}{6}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.
Charlie loaned April $1,200 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,248 | |
| $1,236 | |
| $1,212 | |
| $1,284 |
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 $1,200
i = 0.07 x $1,200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,200 + $84
| 2.1 | |
| 7.2 | |
| 2.4 | |
| 1 |
1
A bread recipe calls for 3\(\frac{1}{8}\) cups of flour. If you only have 1 cup, how much more flour is needed?
| 2\(\frac{7}{8}\) cups | |
| 1\(\frac{3}{4}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 2\(\frac{1}{8}\) cups |
The amount of flour you need is (3\(\frac{1}{8}\) - 1) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{25}{8} \) - \( \frac{8}{8} \)) cups
\( \frac{17}{8} \) cups
2\(\frac{1}{8}\) cups
What is \( 2 \)\( \sqrt{45} \) - \( 4 \)\( \sqrt{5} \)
| -2\( \sqrt{45} \) | |
| -2\( \sqrt{9} \) | |
| 8\( \sqrt{225} \) | |
| 2\( \sqrt{5} \) |
To subtract these radicals together their radicands must be the same:
2\( \sqrt{45} \) - 4\( \sqrt{5} \)
2\( \sqrt{9 \times 5} \) - 4\( \sqrt{5} \)
2\( \sqrt{3^2 \times 5} \) - 4\( \sqrt{5} \)
(2)(3)\( \sqrt{5} \) - 4\( \sqrt{5} \)
6\( \sqrt{5} \) - 4\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
6\( \sqrt{5} \) - 4\( \sqrt{5} \)