| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
A tiger in a zoo has consumed 56 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 98 pounds?
| 14 | |
| 6 | |
| 10 | |
| 4 |
If the tiger has consumed 56 pounds of food in 8 days that's \( \frac{56}{8} \) = 7 pounds of food per day. The tiger needs to consume 98 - 56 = 42 more pounds of food to reach 98 pounds total. At 7 pounds of food per day that's \( \frac{42}{7} \) = 6 more days.
Which of the following is not an integer?
1 |
|
\({1 \over 2}\) |
|
-1 |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
If a mayor is elected with 55% of the votes cast and 38% of a town's 50,000 voters cast a vote, how many votes did the mayor receive?
| 10,450 | |
| 12,920 | |
| 16,340 | |
| 10,070 |
If 38% of the town's 50,000 voters cast ballots the number of votes cast is:
(\( \frac{38}{100} \)) x 50,000 = \( \frac{1,900,000}{100} \) = 19,000
The mayor got 55% of the votes cast which is:
(\( \frac{55}{100} \)) x 19,000 = \( \frac{1,045,000}{100} \) = 10,450 votes.
The total water usage for a city is 50,000 gallons each day. Of that total, 12% is for personal use and 27% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 10,200 | |
| 2,600 | |
| 13,050 | |
| 7,500 |
27% of the water consumption is industrial use and 12% is personal use so (27% - 12%) = 15% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{15}{100} \) x 50,000 gallons = 7,500 gallons.
What is \( \frac{14\sqrt{36}}{7\sqrt{9}} \)?
| 4 \( \sqrt{2} \) | |
| 2 \( \sqrt{\frac{1}{4}} \) | |
| \(\frac{1}{4}\) \( \sqrt{2} \) | |
| 2 \( \sqrt{4} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{14\sqrt{36}}{7\sqrt{9}} \)
\( \frac{14}{7} \) \( \sqrt{\frac{36}{9}} \)
2 \( \sqrt{4} \)