| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Roger buys two shirts, each with a regular price of $26, how much will he pay for both shirts?
| $29.90 | |
| $22.10 | |
| $48.10 | |
| $32.50 |
By buying two shirts, Roger will save $26 x \( \frac{15}{100} \) = \( \frac{$26 x 15}{100} \) = \( \frac{$390}{100} \) = $3.90 on the second shirt.
So, his total cost will be
$26.00 + ($26.00 - $3.90)
$26.00 + $22.10
$48.10
A triathlon course includes a 100m swim, a 40.6km bike ride, and a 7.5km run. What is the total length of the race course?
| 48.2km | |
| 32.4km | |
| 59.2km | |
| 52.4km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.1km + 40.6km + 7.5km
total distance = 48.2km
Simplify \( \sqrt{75} \)
| 5\( \sqrt{3} \) | |
| 4\( \sqrt{3} \) | |
| 3\( \sqrt{6} \) | |
| 6\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{75} \)
\( \sqrt{25 \times 3} \)
\( \sqrt{5^2 \times 3} \)
5\( \sqrt{3} \)
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 41,000 seats in a stadium are filled, how many home fans are in attendance?
| 27,333 | |
| 32,500 | |
| 30,400 | |
| 40,000 |
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:
41,000 fans x \( \frac{2}{3} \) = \( \frac{82000}{3} \) = 27,333 fans.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
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commutative |
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distributive |
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PEDMAS |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.