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andrey2020 [161]
3 years ago
15

A Verizon salesman sold $5,750 in sales last week. He made $230 in commission. What percent commission did he make?

Mathematics
1 answer:
Vlad [161]3 years ago
5 0

The answer is: 4%  

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 5750 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 5750, so we can write it down as 100%=5750.

4. We know, that x% equals 230 of the output value, so we can write it down as x%=230.

5. Now we have two simple equations:

1) 100%=5750

2) x%=230

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=5750/230

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230 is what percent of 5750

100%/x%=5750/230

(100/x)*x=(5750/230)*x       - we multiply both sides of the equation by x

100=25*x       - we divide both sides of the equation by (25) to get x

100/25=x

4=x

x=4

now we have:

230 is 4% of 5750

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Of the 9-letter passwords formed by rearranging the letters AAAABBCCC (4 A's, 2 B's, and 3 C's), I select one at random. Determi
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<u>C</u> (       ) <u>C</u> (       ) <u>C</u>

To fill in the gaps we have  4 letters  A and 2 letters B, wich we have two divide in two palindrome gaps,  

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BAA         and    AAB    "           "           is  C  BAA C AAB C  

ABA         and    ABA    "           "           is  C  ABA C ABA C

b) 4 A  ;   2B  ; 3C

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Therefore the probability of words with 3 adjacent Cs and 2 B separeted is

the probability of 3 adjacent Cs (7!/9!) times probability of words with no adjacent Bs wich is (1-(8!/9!))*(7!/9!)

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