| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
A triathlon course includes a 400m swim, a 50.1km bike ride, and a 9.3km run. What is the total length of the race course?
| 59.8km | |
| 62.1km | |
| 36.8km | |
| 38.5km |
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 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 50.1km + 9.3km
total distance = 59.8km
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Alex buys two shirts, each with a regular price of $35, how much money will he save?
| $7.00 | |
| $5.25 | |
| $12.25 | |
| $17.50 |
By buying two shirts, Alex will save $35 x \( \frac{50}{100} \) = \( \frac{$35 x 50}{100} \) = \( \frac{$1750}{100} \) = $17.50 on the second shirt.
Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 13 small cakes per hour. The kitchen is available for 3 hours and 26 large cakes and 250 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 14 | |
| 12 | |
| 8 | |
| 5 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 2 x 3 = 6 large cakes during that time. 26 large cakes are needed for the party so \( \frac{26}{6} \) = 4\(\frac{1}{3}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 13 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 13 x 3 = 39 small cakes during that time. 250 small cakes are needed for the party so \( \frac{250}{39} \) = 6\(\frac{16}{39}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 5 + 7 = 12 cooks.
Simplify \( \sqrt{20} \)
| 9\( \sqrt{10} \) | |
| 9\( \sqrt{5} \) | |
| 5\( \sqrt{5} \) | |
| 2\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{20} \)
\( \sqrt{4 \times 5} \)
\( \sqrt{2^2 \times 5} \)
2\( \sqrt{5} \)
a(b + c) = ab + ac defines which of the following?
distributive property for division |
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commutative property for multiplication |
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commutative property for division |
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distributive property for multiplication |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.