The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.
<h3>Define the term permutation?</h3>
- The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation.
- The arrangement's order is essential when using permutations.
For the stated data;
Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.
There are total 9 digits (0 - 9).
There are total 26 letter (A - Z)
Repetitions of letters and numbers given allowed.
Thus, numbers and the letters ca be arranged as;
1st place = 9 ways.
2nd place = 9 ways.
3nd place = 9 ways.
4th place = 26 ways.
6th place = 26 ways.
7th place = 9 ways.
8th place = 9 ways.
Total ways = 9×9×9×26×26×9×9
Total ways = 39917124
Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.
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Answer:
In a system, the substitution method is one of the 3 main ways to solve a system and can be very efficient at times.
<u>Skills needed: Systems, Algebra</u>
Step-by-step explanation:
1) Let's say we are given two equations below:

We can use substitution here by substituting in for
in the second equation. This means we put in
for
in the 2nd equation so we only have
variables in the equation, allowing us to solve for
.
2) Solving it out:

We essentially substitute in that value as seen in step 1. Steps 2 and 3 are just simplifying the left side and allowing for us to solve. Step 4 is where we divide by -16 on both sides to solve for x. Step 5 and 6 show us solving for y using the value for x. We get 
Answer:

Step-by-step explanation:
Given voltage of primary coil is 
And voltage of secondary coil is 
A transformer is a device that contains primary and secondary coil. These coils are mounted on soft iron. The change in voltage depends upon the number of turns of primary coil
and secondary coil
.
Following equation represents the relation between them.

Then, ratio of the number of wire turns on the primary coil to the number of turns on the secondary coil is

Ok this one is easier than you might think. The line equals 180 degrees since it is a straight line, therefore you need to do 180-27 to get what y equals. Y=153