| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
If a car travels 160 miles in 8 hours, what is the average speed?
| 75 mph | |
| 45 mph | |
| 20 mph | |
| 40 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Which of the following is a mixed number?
\(1 {2 \over 5} \) |
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\({a \over 5} \) |
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\({5 \over 7} \) |
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\({7 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
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least common factor |
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greatest common factor |
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absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 9:8 | |
| 7:4 | |
| 9:2 | |
| 1:1 |
The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.
Convert z-3 to remove the negative exponent.
| \( \frac{-3}{z} \) | |
| \( \frac{1}{z^{-3}} \) | |
| \( \frac{1}{z^3} \) | |
| \( \frac{-3}{-z} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.