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Ivanshal [37]
2 years ago
14

A pen costs twice as much as a pencil. If 7 pens and 12 pencils cost $6.50, find the cost of a pencil.

Mathematics
1 answer:
pentagon [3]2 years ago
7 0

1. Observe the problem

2. Make a system of linear equations

x is pens

y is pencil

As stated in the text, x=2y

x=2y

7x+12y=6.50

Using substitution,

7(2y)+12y=6.50

14y+12y=6.50

26y=6.50

y=0.25

Substituting it back into the first equation:

x=2(0.25)

<h2><u><em>x=0.5</em></u></h2><h2><u><em>y=0.25</em></u></h2>
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alexdok [17]

Answer:

The probability is \frac{1}{n}

Step-by-step explanation:

If she has n distinct password candidates and only one of which will successfully log her into a secure system, the probability that her first first successful login will be on her k-th try is:

If k=1

P = \frac{1}{n}

Because, in her first try she has n possibles options and just one give her a successful login.

If k=2

P=\frac{n-1}{n} *\frac{1}{n-1} =\frac{1}{n}

Because, in her first try she has n possibles options and n-1 that are not correct, then, she has n-1 possibles options and 1 of that give her a successful login.

If k=3

P=\frac{n-1}{n} *\frac{n-2}{n-1} *\frac{1}{n-2} = \frac{1}{n}

Because, in her first try she has n possibles options and n-1 that are not correct, then, she has n-1 possibles options and n-2 that are not correct and after that, she has n-2 possibles options and 1 give her a successful login.

Finally, no matter what is the value of k, the probability that her first successful login will be (exactly) on her k-th try is 1/n

7 0
3 years ago
How many 1/3 cups servings are in 4 cups
Andrew [12]

Only one that would make sense is 1/12

8 0
3 years ago
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Need help with this please and thank you
Elis [28]

Answer:

the answer is B

Step-by-step explanation:

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60%

7 0
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Jake sells planter boxes at the local flea market. The table shows the amount of money Jake has paid for different numbers of pl
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Answer:

1 is $1.50

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Step-by-step explanation:

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tino4ka555 [31]

Answer:

total amount donated when aaron walks n miles = $2 + $3(n-1)

Step-by-step explanation:

Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.

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when Aaron walks 8 miles

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additional amount paid is $3

total amount donated when aaron walks n miles = $2 + $3(n-1)

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