| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
How many hours does it take a car to travel 200 miles at an average speed of 40 miles per hour?
| 3 hours | |
| 6 hours | |
| 4 hours | |
| 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 = \( \frac{200mi}{40mph} \)
5 hours
Convert z-3 to remove the negative exponent.
| \( \frac{-1}{z^{-3}} \) | |
| \( \frac{-3}{z} \) | |
| \( \frac{1}{z^3} \) | |
| \( \frac{-1}{-3z^{3}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for division |
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distributive property for multiplication |
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commutative property for division |
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commutative property for multiplication |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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fraction |
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mixed number |
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integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
What is 8y7 + 5y7?
| 13y49 | |
| 13y7 | |
| 3y7 | |
| 13y-14 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
8y7 + 5y7
(8 + 5)y7
13y7