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Vinvika [58]
2 years ago
7

3. How many 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?

Mathematics
1 answer:
galben [10]2 years ago
7 0
Abcdefg
There cannot be more than two because there are only two vowels, e and a. But it has to be 4 lettered, which limits a lot of option, so there can only be one 4-letter code.
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Simple Algebra Equation help.
Ivan

Answer:

There are 3 adult tickets and 7 child tickets

Step-by-step explanation:

You are very close.

Let x = the number of adult tickets

Let y = number of child tickets

24.95x+ 15.95y = 186.50

The total number of tickets is 10

x+y =10

Subtract y from each side

x+y-y = 10-y

x =10-y

Substitute this into the first equation

24.95x+ 15.95y = 186.50

24.95(10-y) +15.95y = 186.50

Distribute

249.5 - 24.95y +15.95y =186.5

Combine like terms

249.5 - 9y = 186.50

Subtract 249.5 from each side

249.5-249.5 - 9y = 186.50-249.5

-9y =-63

Divide each side by -9

-9y/-9 = -63/-9

y =7

Now we need to find x

x+y =10

x+7 =10

Subtract 7 from each side

x+7-7 =10-7

x =3

There are 3 adult tickets and 7 child tickets

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Step-by-step explanation:

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A 2-digit number is written on a paper. What is the probability that it starts with 2?
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3 years ago
The parents of three children, ages 1, 3, and 6, wish to set up a trust fund that will pay X to each child upon attainment of ag
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Answer:

The equation of <em>Z</em> is: Z=X(v^{17}+v^{15}+v^{12})+Y(v^{20}+v^{18}+v^{15})

Step-by-step explanation:

  • The first child is of age 1 year.

        Then the amount invested for the 1-year old is: Xv^{17}+Yv^{20}

  • The second child is of age 3 years.

        Then the amount invested for the 3-year old is: Xv^{15}+Yv^{18}

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        Then the amount invested for the 6-year old is: Xv^{12}+Yv^{15}

The one-time investment will be:

Z=Xv^{17}+Yv^{20}+Xv^{15}+Yv^{18}+Xv^{12}+Yv^{15}\\=X(v^{17}+v^{15}+v^{12})+Y(v^{20}+v^{18}+v^{15})

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