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tamaranim1 [39]
3 years ago
10

- 0.2 ( 25x + 5 ) - 5 = 4

Mathematics
2 answers:
inna [77]3 years ago
6 0

Answer:

x=-2

Step-by-step explanation:

step 1 -5x-1-5=4

step 2 -5x-6=4

step 3 -5x=10 cause you add 6 on both sides

step 4 and then divide both sides by -5 to get x=-2

podryga [215]3 years ago
3 0

Answer:

x= -2

Step-by-step explanation:

-0.2(25x+5)-5 = 4

We move all terms to the left:

-0.2(25x+5)-5-(4) = 0

We add all the numbers together, and all the variables

-0.2(25x+5)-9 = 0

We multiply parentheses

-5x-1-9 = 0

We add all the numbers together, and all the variables

-5x-10 = 0

We move all terms containing x to the left, all other terms to the right

-5x= 10

x=  10/-5

x= -2

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A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the
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The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

<h3>What is the rule of product in combinatorics?</h3>

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in p \times q ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We're specified that:

  • The password needs to be 4 characters long
  • It must have 3 letters and 1 of 10 special characters.
  • Repetition is allowed.

So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).

And that 1 remaining character get 10 ways of being a special character.

So, by product rule, this choice (without ordering) can be done in:

26 \times 26 \times 26 \times 10 = 175760 ways.

Now, the password may look like one of those:

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where S shows presence of special character and L shows presence of letter.

Those 175760 ways are available for each of those four ways.

Thus, resultant number of ways this can be done is:

175760 \times 4 = 703040

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Learn more about rule of product here:

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Step-by-step explanation:

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Step-by-step explanation:

what does P mean ?

I assume it is perimeter ?

what is the perimeter of a square ?

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