| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
How many hours does it take a car to travel 350 miles at an average speed of 70 miles per hour?
| 9 hours | |
| 4 hours | |
| 1 hour | |
| 5 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 = \( \frac{350mi}{70mph} \)
5 hours
Which of the following statements about exponents is false?
b0 = 1 |
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b1 = 1 |
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all of these are false |
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b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 13 small cakes per hour. The kitchen is available for 4 hours and 40 large cakes and 480 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?
| 12 | |
| 14 | |
| 8 | |
| 9 |
If a single cook can bake 5 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 5 x 4 = 20 large cakes during that time. 40 large cakes are needed for the party so \( \frac{40}{20} \) = 2 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 4 hours, a single cook can bake 13 x 4 = 52 small cakes during that time. 480 small cakes are needed for the party so \( \frac{480}{52} \) = 9\(\frac{3}{13}\) 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 2 + 10 = 12 cooks.
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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distributive |
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PEDMAS |
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commutative |
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 5% off." If Charlie buys two shirts, each with a regular price of $37, how much money will he save?
| $1.85 | |
| $16.65 | |
| $14.80 | |
| $9.25 |
By buying two shirts, Charlie will save $37 x \( \frac{5}{100} \) = \( \frac{$37 x 5}{100} \) = \( \frac{$185}{100} \) = $1.85 on the second shirt.