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Are 108 and 27 equivalent? Also, are they rates? And is either one of them a unit rate?

a) Yes, equivalent; both are rates

b) No, not equivalent; both are rates

c) Yes, equivalent; neither is a rate

d) No, not equivalent; neither is a rate

User Gym
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Final Answer:

The numbers 108 and 27 are not equivalent as they have different numerical values. Additionally, neither of them represents a rate, which is a comparison of two different quantities. Without specific units or context, it cannot be determined if either is a unit rate. Thus the correct option is b) No, not equivalent; both are rates

Step-by-step explanation:

The numbers 108 and 27 are not equivalent because they have different numerical values. Equivalence means that two quantities are equal in value. In this case, 108 is not equal to 27, so they are not equivalent.

Furthermore, neither of these numbers represents a rate. A rate is a ratio that compares two different kinds of quantities. For example, miles per hour or dollars per pound are rates because they compare distance to time and currency to weight, respectively. Since 108 and 27 are just numerical values without specifying a comparison of two different quantities, they are not rates.

To clarify, a unit rate is a rate in which the denominator is 1 unit. For instance, if 108 represented a quantity of something in relation to 9 units, then it would be a unit rate. However, without additional context, we cannot determine if either 108 or 27 is a unit rate. Therefore, the correct answer is that they are not equivalent, both are not rates, and neither is a unit rate.


Therefore, the correct option is b) No, not equivalent; both are rates

User Adamwy
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