| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
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greatest common factor |
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least common factor |
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absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Bob loaned Betty $1,400 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?
| $1,428 | |
| $1,456 | |
| $1,526 | |
| $1,484 |
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 $1,400
i = 0.02 x $1,400
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,400 + $28How 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?
| 10 | |
| 5 | |
| 5 | |
| 2 |
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 the ratio of home fans to visiting fans in a crowd is 3:1 and all 33,000 seats in a stadium are filled, how many home fans are in attendance?
| 33,333 | |
| 24,750 | |
| 31,333 | |
| 27,000 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
33,000 fans x \( \frac{3}{4} \) = \( \frac{99000}{4} \) = 24,750 fans.
The total water usage for a city is 45,000 gallons each day. Of that total, 21% is for personal use and 31% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 4,500 | |
| 10,000 | |
| 17,500 | |
| 1,500 |
31% of the water consumption is industrial use and 21% is personal use so (31% - 21%) = 10% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{10}{100} \) x 45,000 gallons = 4,500 gallons.