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:
45.45
Step-by-step explanation:
25 is 55% of What Number? - 25 is 55% of 45.45. 100% of 45.45 is 45.45, therefore 55 percent of 45.45 equals 25.
Step-by-step explanation:
4/5 is the simplified fraction for 48/60.
The difference is 181 degrees.
Subtract 146 by -35 (146 - -35)
When a negative it being subtracted replace it with a positive because two negatives make a positive (146+35) which gets you 181
Answer:
x stays x in both equations so x stands for x
Step-by-step explanation:
y=3x+6
you can put this into a graphing caculator or draw it yourself.
6 is the y value when x equals 0. and the 3 represents the slope so then it is solved for any y value