| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.72 |
| Score | 0% | 54% |
A tiger in a zoo has consumed 104 pounds of food in 8 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 143 pounds?
| 5 | |
| 3 | |
| 7 | |
| 10 |
If the tiger has consumed 104 pounds of food in 8 days that's \( \frac{104}{8} \) = 13 pounds of food per day. The tiger needs to consume 143 - 104 = 39 more pounds of food to reach 143 pounds total. At 13 pounds of food per day that's \( \frac{39}{13} \) = 3 more days.
What is \( \frac{1}{9} \) ÷ \( \frac{4}{8} \)?
| \(\frac{2}{9}\) | |
| \(\frac{1}{12}\) | |
| \(\frac{2}{7}\) | |
| \(\frac{3}{10}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{9} \) ÷ \( \frac{4}{8} \) = \( \frac{1}{9} \) x \( \frac{8}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{9} \) x \( \frac{8}{4} \) = \( \frac{1 x 8}{9 x 4} \) = \( \frac{8}{36} \) = \(\frac{2}{9}\)
Which of the following statements about exponents is false?
b1 = 1 |
|
b1 = b |
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all of these are false |
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b0 = 1 |
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).
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 25 gallon tank to fill it exactly halfway?
| 5 | |
| 10 | |
| 5 | |
| 8 |
To fill a 25 gallon tank exactly halfway you'll need 12\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{12\frac{1}{2} \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 5
If a mayor is elected with 75% of the votes cast and 64% of a town's 31,000 voters cast a vote, how many votes did the mayor receive?
| 14,880 | |
| 10,912 | |
| 17,459 | |
| 12,896 |
If 64% of the town's 31,000 voters cast ballots the number of votes cast is:
(\( \frac{64}{100} \)) x 31,000 = \( \frac{1,984,000}{100} \) = 19,840
The mayor got 75% of the votes cast which is:
(\( \frac{75}{100} \)) x 19,840 = \( \frac{1,488,000}{100} \) = 14,880 votes.