The unit rate is 0.25 kilograms per year.
Step-by-step explanation:
Lets define unit rate first
Unit rate is the change in quantity per unit time.
Given
Weight = w = 5 kg
Time = t = 20 years
So,

Hence,
The unit rate is 0.25 kilograms per year.
Keywords: Unit rate, rate of change
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Suppose

is the number of possible combinations for a suitcase with a lock consisting of

wheels. If you added one more wheel onto the lock, there would only be 9 allowed possible digits you can use for the new wheel. This means the number of possible combinations for

wheels, or

is given recursively by the formula

starting with

(because you can start the combination with any one of the ten available digits 0 through 9).
For example, if the combination for a 3-wheel lock is 282, then a 4-wheel lock can be any one of 2820, 2821, 2823, ..., 2829 (nine possibilities depending on the second-to-last digit).
By substitution, you have

This means a lock with 55 wheels will have

possible combinations (a number with 53 digits).
Answer: C. 0.8p
Step-by-step explanation:
Since Darien is discounting the prices by 20%, the new price will be 80% of the original price, or 0.8 times the original price
Answer:
2 : 5
Step-by-step explanation:
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
We are to determine the ratio of dimes to nickels
total sum of nickels = 3 + 12 = 15
total sum of dimes = 4 + 2 = 6
6 : 15
three can divide each of the numbers
2 : 5