| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
How many 6-passenger vans will it take to drive all 91 members of the football team to an away game?
| 15 vans | |
| 5 vans | |
| 4 vans | |
| 16 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{91}{6} \) = 15\(\frac{1}{6}\)
So, it will take 15 full vans and one partially full van to transport the entire team making a total of 16 vans.
What is \( \frac{28\sqrt{20}}{4\sqrt{5}} \)?
| \(\frac{1}{7}\) \( \sqrt{4} \) | |
| 7 \( \sqrt{4} \) | |
| \(\frac{1}{4}\) \( \sqrt{\frac{1}{7}} \) | |
| \(\frac{1}{4}\) \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{28\sqrt{20}}{4\sqrt{5}} \)
\( \frac{28}{4} \) \( \sqrt{\frac{20}{5}} \)
7 \( \sqrt{4} \)
The total water usage for a city is 15,000 gallons each day. Of that total, 10% is for personal use and 42% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 4,800 | |
| 6,400 | |
| 7,600 | |
| 13,000 |
42% of the water consumption is industrial use and 10% is personal use so (42% - 10%) = 32% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{32}{100} \) x 15,000 gallons = 4,800 gallons.
A machine in a factory has an error rate of 8 parts per 100. The machine normally runs 24 hours a day and produces 8 parts per hour. Yesterday the machine was shut down for 5 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 122.4 | |
| 139.8 | |
| 126.9 | |
| 88.4 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{8}{100} \) x 8 = \( \frac{8 \times 8}{100} \) = \( \frac{64}{100} \) = 0.64 errors per hour
So, in an average hour, the machine will produce 8 - 0.64 = 7.36 error free parts.
The machine ran for 24 - 5 = 19 hours yesterday so you would expect that 19 x 7.36 = 139.8 error free parts were produced yesterday.
4! = ?
4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.