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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B) because if you round your numbers, -18 1/4 is -18 and 2 2/3 rounds up to positive 3
Answer:
40 black ink cartridges and 19 colored ink cartridges
Step-by-step explanation:
Let 
represent the number of black printer ink cartridges sold. Let 
represent the number of color printer ink cartridges sold.
Set up a system of equations:
Substitute:
⇒ 40 black ink cartridges, 19 colored ink cartridges (ans)
Answer: D = 70
A = 30
Explanation: d is parallel to 70 degrees, 40 is parallel to e, and the whole set of angles is 180 so 180 - 2(70) + 2(40) = 30 so D = 70 and A = 30
-4x+y= -9 can be turned into
y= -9 + 4x
5x+2y=3 (plug y in)
5x+2(-9+4x)=3
5x-18+8x=3
5x+8x=3+18
13x=21
divide 13 on both sides
x=1.6
