| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
How many 10-passenger vans will it take to drive all 31 members of the football team to an away game?
| 7 vans | |
| 4 vans | |
| 6 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 = \( \frac{31}{10} \) = 3\(\frac{1}{10}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.
How many hours does it take a car to travel 40 miles at an average speed of 20 miles per hour?
| 1 hour | |
| 6 hours | |
| 2 hours | |
| 4 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{40mi}{20mph} \)
2 hours
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
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PEDMAS |
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commutative |
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associative |
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.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Damon buys two shirts, each with a regular price of $43, how much will he pay for both shirts?
| $32.25 | |
| $64.50 | |
| $75.25 | |
| $60.20 |
By buying two shirts, Damon will save $43 x \( \frac{25}{100} \) = \( \frac{$43 x 25}{100} \) = \( \frac{$1075}{100} \) = $10.75 on the second shirt.
So, his total cost will be
$43.00 + ($43.00 - $10.75)
$43.00 + $32.25
$75.25
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 12 small cakes per hour. The kitchen is available for 3 hours and 32 large cakes and 370 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?
| 8 | |
| 12 | |
| 9 | |
| 15 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 3 x 3 = 9 large cakes during that time. 32 large cakes are needed for the party so \( \frac{32}{9} \) = 3\(\frac{5}{9}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 12 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 12 x 3 = 36 small cakes during that time. 370 small cakes are needed for the party so \( \frac{370}{36} \) = 10\(\frac{5}{18}\) 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 4 + 11 = 15 cooks.