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
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Answer:
0.23
Step-by-step explanation:
Since 23 hundredths is 23 over one hundred, 23 hundredths as a Fraction is 23/100. If you divide 23 by one hundred you get 23 hundredths as a decimal which is 0.23. To get 23 hundredths as a Percent, you multiply the decimal with 100 to get the answer of 23 percent.
Answer:
<u>The system of inequalities is:</u>
<u>7x + 8y ≥ 280</u>
<u>x + y ≤ 38</u>
Step-by-step explanation:
1. Let's review the information given to answer the question correctly:
Amount of weekly hours you can work, no more than 38 hours (≤ 38)
Rate at housecleaning per hour = US$ 7
Rate at retail job per hour = US$ 8
Salary per week, at least US$ 280 (≥ 280)
2. Complete the system of linear inequalities to model this situation.
x = Number of hours per week worked at housecleaning job
y = Number of hours per week worked at retail job
Now, we have:
7x + 8y ≥ 280 (Total of salary of the two jobs should be at least US$ 280), where 7x is the salary received from housecleaning job and 8y is the salary received from retail job
x + y ≤ 38 (You can't work more than 38 hours per week)
Answer:
5y + 2y - 4x + 4x = -7 +14
7y = 7
y = 1
2(1) + 4x = 14
4x = 12
x = 3
Step-by-step explanation:
Using the process of elimination
Add both equations. The 4x will be eliminated since one is positive and one is negative. The equation is left with only the y variable and the constant.
When y is found, input it into the second equation to find x.
It can lie between any number lower than it and any number high than it.
For example, 419 and 421
