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ki77a [65]
3 years ago
12

License plates in the newly established state of Atlantis consist of three letters followed by three digits. The first letter mu

st be a vowel (y is not considered a vowel), and no letter can be repeated. The first digit must be one of $\{1,2,4,6\}$, which corresponds to the location the license was issued. No digit may be repeated. How many possible license plates exist?
Mathematics
2 answers:
blagie [28]3 years ago
6 0
Three letters followed by 3 digits equals 6 slots to fill slot one must begin with a e i o or U so there are five ways to pick first slot
kap26 [50]3 years ago
5 0

Answer:

864000 license plates.

Step-by-step explanation:

The first letter has to be a vowel, so we have a,e,i,o,u=5 choices first.

The second letter could be anything except the first one, so we have 25 choices.

The third could be any letter except the first two, so we have 24 choices.

The first digit has to be 1, 2, 4, 6=4 choices.

The second digit has to be any one except the first so we have 9 choices.

The last digit has 8 choices for the reasons stated above.

We multiply it all together and have 864000 license plates.

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The quotient obtained when an integer is divided by its additive inverse is ________________.
Ahat [919]

Answer:

-1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which two integers is 115 between?
Lady_Fox [76]

<em><u>Answer:</u></em>

115 is between 114 and 116 because they are the integers that are directly bigger than 115 and smaller than 115.

8 0
3 years ago
What is the radius of a sphere if its surface area is 2,122.64 square inches? (Use 3.14 for π.) 11 in. 13 in. 121 in. 169 in.
crimeas [40]
To solve this, we are going to use the surface are of a sphere formula: A=4 \pi r^2
where
A is the surface area of the sphere 
r is the radius of the sphere 

We know for our problem that A=2122.64 and \pi =3.14, so lets replace those vales in our formula:
A=4 \pi r^2
2122.64=4(3.14)r^2
2122.64=12.56r^2
Now, we just need to solve our equation for r:
\frac{2122.64}{12.56} =r^2
r^2=\frac{2122.64}{12.56}
r^2=169
r=+or- \sqrt{169}
r=13 or r=13
Since the radius of a sphere cannot be a negative number, r=13.

We can conclude that the radius of a sphere with surface area <span>2,122.64 </span>in^2 is 13 in.
3 0
3 years ago
Factor the expression completely. 1/4x + 19/4
puteri [66]

Answer: i think it is... x = -19

8 0
3 years ago
What’s the answer to this question?
Sonja [21]

Answer: The correct answer is additive inverse.

Step-by-step explanation: The additive inverse is the number that you add to another that has a total of 0. In this case, the additive inverse of 14 is negative 14.

4 0
3 years ago
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