| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
Which of the following is not an integer?
0 |
|
-1 |
|
1 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
A bread recipe calls for 3\(\frac{3}{4}\) cups of flour. If you only have \(\frac{3}{8}\) cup, how much more flour is needed?
| 1\(\frac{7}{8}\) cups | |
| 2\(\frac{3}{8}\) cups | |
| 3\(\frac{3}{8}\) cups | |
| 1\(\frac{1}{2}\) cups |
The amount of flour you need is (3\(\frac{3}{4}\) - \(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{30}{8} \) - \( \frac{3}{8} \)) cups
\( \frac{27}{8} \) cups
3\(\frac{3}{8}\) cups
How many hours does it take a car to travel 405 miles at an average speed of 45 miles per hour?
| 4 hours | |
| 3 hours | |
| 7 hours | |
| 9 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{405mi}{45mph} \)
9 hours
Convert a-4 to remove the negative exponent.
| \( \frac{1}{a^4} \) | |
| \( \frac{-4}{a} \) | |
| \( \frac{1}{a^{-4}} \) | |
| \( \frac{-4}{-a} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 19 small cakes per hour. The kitchen is available for 3 hours and 29 large cakes and 340 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 | |
| 6 | |
| 12 | |
| 11 |
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. 29 large cakes are needed for the party so \( \frac{29}{15} \) = 1\(\frac{14}{15}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 19 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 19 x 3 = 57 small cakes during that time. 340 small cakes are needed for the party so \( \frac{340}{57} \) = 5\(\frac{55}{57}\) 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 + 6 = 8 cooks.