| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
Simplify \( \sqrt{50} \)
| 3\( \sqrt{2} \) | |
| 7\( \sqrt{2} \) | |
| 9\( \sqrt{4} \) | |
| 5\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{50} \)
\( \sqrt{25 \times 2} \)
\( \sqrt{5^2 \times 2} \)
5\( \sqrt{2} \)
What is \( \frac{42\sqrt{56}}{6\sqrt{8}} \)?
| \(\frac{1}{7}\) \( \sqrt{7} \) | |
| 7 \( \sqrt{\frac{1}{7}} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{7}} \) | |
| 7 \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{42\sqrt{56}}{6\sqrt{8}} \)
\( \frac{42}{6} \) \( \sqrt{\frac{56}{8}} \)
7 \( \sqrt{7} \)
If a mayor is elected with 65% of the votes cast and 67% of a town's 23,000 voters cast a vote, how many votes did the mayor receive?
| 8,167 | |
| 10,787 | |
| 10,017 | |
| 9,862 |
If 67% of the town's 23,000 voters cast ballots the number of votes cast is:
(\( \frac{67}{100} \)) x 23,000 = \( \frac{1,541,000}{100} \) = 15,410
The mayor got 65% of the votes cast which is:
(\( \frac{65}{100} \)) x 15,410 = \( \frac{1,001,650}{100} \) = 10,017 votes.
Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 12 small cakes per hour. The kitchen is available for 3 hours and 25 large cakes and 440 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 8 | |
| 9 | |
| 12 | |
| 15 |
If a single cook can bake 5 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 5 x 3 = 15 large cakes during that time. 25 large cakes are needed for the party so \( \frac{25}{15} \) = 1\(\frac{2}{3}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 12 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 12 x 3 = 36 small cakes during that time. 440 small cakes are needed for the party so \( \frac{440}{36} \) = 12\(\frac{2}{9}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 2 + 13 = 15 cooks.
A tiger in a zoo has consumed 70 pounds of food in 10 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 105 pounds?
| 14 | |
| 5 | |
| 2 | |
| 10 |
If the tiger has consumed 70 pounds of food in 10 days that's \( \frac{70}{10} \) = 7 pounds of food per day. The tiger needs to consume 105 - 70 = 35 more pounds of food to reach 105 pounds total. At 7 pounds of food per day that's \( \frac{35}{7} \) = 5 more days.