Using the Fundamental Counting Theorem, we have that:
4. 1,757,600 different license plates can be there.
5. 676,000,000 different driver's license numbers can be formed.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
For the letters there are 26 outcomes and for the digits there are 10 outcomes, hence the parameters for item 4 are given as follows:
Hence the number of license plates is given by:
N = 26 x 26 x 10 x 10 x 26 = 1,757,600.
For item 5, the parameters are:
Hence the number of license numbers is:
26 x 26 x 10 x 10 x 10 x 10 x 10 x 10 = 676,000,000
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
#SPJ1
Given:
The system of equations is
...(i)
...(ii)
To find:
The number that must be multiplied with the second equation to eliminate the y-variable.
Solution:
Coefficient of y variable in equation (i) is 3 and in equation (ii) is -1.
To eliminate y-variable the absolute value of coefficients of y-variables should be same.
So, we need to multiply the second equation by 3 to eliminate the y-variable
Multiplying equation (ii) by 3, we get
...(iii)
Adding (i) and (iii), we get
Divide both sides by 7.
Put x=12 in (i).
Divide both sides by 10.
Therefore, x=12 and y=10.
Answer:
26.6666... repeating
Step-by-step explanation:
20/3 = 6.6 repeating
.75/3 = .25
6.6 + 20 = 26.6 repeating
.25 + .75 = 1
Answer:
1. x + 24 = 3x
24 = 3x - x
24 = 2x
12 = x
3x
3 (12)
36
2. 10x - 27 = 7x
10x - 7x = 27
3x = 27
x = 9
7x
7 (9)
63
3. 5x + 1 = 6x - 13
5x - 6x = -13 - 1
-x = -14
x = 14
5x + 1
5 (14) + 1
71
4. 6x + 3 = 4x + 39
6x - 4x = 39 - 3
2x = 36
x = 18
6x + 3
6 (18) + 3
111
1. B
2. A
3. H
4. E
