| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
How many 12-passenger vans will it take to drive all 91 members of the football team to an away game?
| 5 vans | |
| 6 vans | |
| 3 vans | |
| 8 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{91}{12} \) = 7\(\frac{7}{12}\)
So, it will take 7 full vans and one partially full van to transport the entire team making a total of 8 vans.
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 35,000 seats in a stadium are filled, how many home fans are in attendance?
| 36,667 | |
| 25,833 | |
| 23,333 | |
| 29,167 |
A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:
35,000 fans x \( \frac{2}{3} \) = \( \frac{70000}{3} \) = 23,333 fans.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Charlie buys two shirts, each with a regular price of $21, how much will he pay for both shirts?
| $23.10 | |
| $13.65 | |
| $7.35 | |
| $34.65 |
By buying two shirts, Charlie will save $21 x \( \frac{35}{100} \) = \( \frac{$21 x 35}{100} \) = \( \frac{$735}{100} \) = $7.35 on the second shirt.
So, his total cost will be
$21.00 + ($21.00 - $7.35)
$21.00 + $13.65
$34.65
The total water usage for a city is 5,000 gallons each day. Of that total, 18% is for personal use and 32% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 700 | |
| 3,000 | |
| 1,400 | |
| 1,200 |
32% of the water consumption is industrial use and 18% is personal use so (32% - 18%) = 14% more water is used for industrial purposes. 5,000 gallons are consumed daily so industry consumes \( \frac{14}{100} \) x 5,000 gallons = 700 gallons.
What is 5\( \sqrt{8} \) x 9\( \sqrt{5} \)?
| 45\( \sqrt{8} \) | |
| 14\( \sqrt{40} \) | |
| 90\( \sqrt{10} \) | |
| 45\( \sqrt{5} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{8} \) x 9\( \sqrt{5} \)
(5 x 9)\( \sqrt{8 \times 5} \)
45\( \sqrt{40} \)
Now we need to simplify the radical:
45\( \sqrt{40} \)
45\( \sqrt{10 \times 4} \)
45\( \sqrt{10 \times 2^2} \)
(45)(2)\( \sqrt{10} \)
90\( \sqrt{10} \)