The local high school is having a talent show.

1 answer:

7 0

5c + 3 a =25 c is the cost of children ticket and a is the cost for adult tickets.

4c +4a =28

Now multiply first equation by 4 and the second equation by 5

20c +12a =100
20c +20a = 140

Now subtract equation 2 from 1 we have -8a =-40 a = 5
Now substitute the value of a in equation 1 5c =25-15 c= 10/5 =2

children's ticket cost $2

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A combination lock requires a user to select three numbers to unlock it, where all three numbers are between 1 to 30, inclusive,

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Answer:

$\frac{1}{270}=0.00370$

Step-by-step explanation:

As the numbers are only between 1 and 30

Total number of possible combinations = 30×30×30 = 27000

If there are 100 attempts then

$\text{P (someone guesses correct)}=\frac{\text{Number of attempts}}{\text{Total number of possible combinations}}\\\Rightarrow \text{P (someone guesses correct)}=\frac{100}{27000}\\\Rightarrow \text{P (someone guesses correct)}=\frac{1}{270}=0.00370$