| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
What is the greatest common factor of 60 and 36?
| 12 | |
| 23 | |
| 8 | |
| 13 |
The factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60] and the factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36]. They share 6 factors [1, 2, 3, 4, 6, 12] making 12 the greatest factor 60 and 36 have in common.
Ezra loaned Diane $500 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $530 | |
| $515 | |
| $510 | |
| $520 |
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 $500
i = 0.02 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $10What is (b3)2?
| b-1 | |
| 3b2 | |
| 2b3 | |
| b6 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b3)2Simplify \( \sqrt{50} \)
| 5\( \sqrt{2} \) | |
| 2\( \sqrt{2} \) | |
| 4\( \sqrt{4} \) | |
| 8\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{50} \)
\( \sqrt{25 \times 2} \)
\( \sqrt{5^2 \times 2} \)
5\( \sqrt{2} \)
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 20 small cakes per hour. The kitchen is available for 4 hours and 39 large cakes and 490 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?
| 15 | |
| 7 | |
| 13 | |
| 11 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 39 large cakes are needed for the party so \( \frac{39}{12} \) = 3\(\frac{1}{4}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 20 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 20 x 4 = 80 small cakes during that time. 490 small cakes are needed for the party so \( \frac{490}{80} \) = 6\(\frac{1}{8}\) 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 4 + 7 = 11 cooks.