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).
The system of equations 2x + 3y = 2 and y = (1/2)x + 3 have solutions at x = -2 and y = 2
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
From the system of equations 2x + 3y = 2 and y = (1/2)x + 3, the graph of the equation shows that the solution is at x = -2 and y = 2
Find out more on equation at: brainly.com/question/2972832
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1st = 100% - 20% = 80%
2nd= 100%-15% = 85%
Net Price Factor = 0.8 x 0.85 = 0.68
Net Price = $1899 x 0.68
Final Net Price = $1,291.32
Total Discount= $1899 - 1,291.32 = $607.68
Answer:
B. Divide 124 by 229.
Step-by-step explanation:
Given the table

The <u>joint relative frequency</u> is the ratio of the frequency in a particular category and the total number of data values.
The total number of males 
The number of males that like drama 
So, to find the joint relative frequency of being male and attending a drama movie, you should divide 124 by 229.
Answer: The whole area of all the wood is 36
Step-by-step explanation:
The formula for area of a rectangle is length times width. A=lw
You plug the numbers into the formula: A=2*3 = 6
The area for one piece of wood is 6 ft
If you take multiply one area of wood by the amount of wood - you get the whole area amount of all the wood. So 6*6 = 36.