A shipping company uses baggage tags with 3-letter city codes. The first and third letters of each code are always consonants and the middle letter is always a vowel (CVC). The English language uses 21 consonants and 5 vowels. How many different combinations of tag codes are possible?

Answers

Answer 1

Answer:

2205 combinations

Explanation:

21²×5 = 2205

Answer 2

The total number of combinations of tag codes is 2,205 tag codes

What are Combinations?

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the total number of combinations of tag codes be A

Now , the equation will be

The number of letters in the tag codes = 3 letters

The first letter is a consonant

The total number of ways of selecting a consonant = ²¹C₁

The second letter is a vowel

The total number of ways of selecting a vowel = ⁵C₁

The third letter is a consonant

The total number of ways of selecting a consonant = ²¹C₁

The total number of combinations of tag codes A = ²¹C₁ x ⁵C₁ x ²¹C₁

On simplifying the equation , we get

The total number of combinations of tag codes A = 21 x 5 x 21

The total number of combinations of tag codes A = 2,205 tag codes

Hence , the number of combinations is 2,205

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Answers

Answer:

15

Step-by-step explanation:

Ricardo made a data table with 4 rows and 10columns

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Answers

Answer:

Amount after 22 year = $484.80 (Approx.)

Step-by-step explanation:

Given:

Amount deposit in bank = $150

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Amount after 22 year

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Answers

Answer: wheres the given rational number?

Step-by-step explanation:


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Answers

Answer:

Y=25x

Step-by-step explanation:

Cross multiply

75/3=25

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25/1=25

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Answer:

y= 25x.

Step-by-step explanation:

This is direct variation because y/x = 25/1 = 50/2 = 75/3 = 25 , and when x = 0 y = 0.

So the equation is y = 25x.

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Answers

1728 square inches is the answer

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Answers

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Answers

Answer:

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Answers

Answer:

The answer would be 0.125, Hope this helped!

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Answers

Answer:

B - yes

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

63

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Looking at the triangle we see the angles:

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Answers

Answer:

72.25π

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

option H.

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

2

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Answers

Answer:

[tex]\dfrac{3}{20}[/tex]

Step-by-step explanation:

We need to solve the given expression i.e.

[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]

It can be calculated by simplifying such that,

25 = 5 × 5

16 = 8 × 2

14 = 7× 2

9 = 3 × 3

If we use all the values,

we get,

[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}=\dfrac{3}{20}[/tex]

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Answers

Answer:

2.3314351132×[tex]10^{20}[/tex]

Step-by-step explanation:

2098320984029840294098 - 029382098442019832 = 2.0982916019×[tex]10^{21}[/tex]

2.0982916019×[tex]10^{21}[/tex]/9 = 2.3314351132×[tex]10^{20}[/tex]

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Answers

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Step-by-step explanation:

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