| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
A tiger in a zoo has consumed 54 pounds of food in 6 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 99 pounds?
| 5 | |
| 6 | |
| 11 | |
| 2 |
If the tiger has consumed 54 pounds of food in 6 days that's \( \frac{54}{6} \) = 9 pounds of food per day. The tiger needs to consume 99 - 54 = 45 more pounds of food to reach 99 pounds total. At 9 pounds of food per day that's \( \frac{45}{9} \) = 5 more days.
A bread recipe calls for 3\(\frac{3}{8}\) cups of flour. If you only have 1\(\frac{5}{8}\) cups, how much more flour is needed?
| 1\(\frac{3}{4}\) cups | |
| 2 cups | |
| 1\(\frac{1}{2}\) cups | |
| \(\frac{5}{8}\) cups |
The amount of flour you need is (3\(\frac{3}{8}\) - 1\(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{27}{8} \) - \( \frac{13}{8} \)) cups
\( \frac{14}{8} \) cups
1\(\frac{3}{4}\) cups
Solve for \( \frac{5!}{6!} \)
| 72 | |
| \( \frac{1}{56} \) | |
| \( \frac{1}{6} \) | |
| 60480 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{5!}{6!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6} \)
\( \frac{1}{6} \)
What is the least common multiple of 8 and 10?
| 40 | |
| 45 | |
| 21 | |
| 42 |
The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 have in common.
Which of the following statements about exponents is false?
b1 = 1 |
|
all of these are false |
|
b0 = 1 |
|
b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).