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nalin [4]
3 years ago
12

Ella Buys a book and a pen for $14. The cost of the book is two dollars more than twice the cost of the pen. Write a system of l

inear equations for this situation. Then find the cause of each item. Let's actually present the cost of the pen and like why are you present the cost of the book.
Mathematics
1 answer:
Vilka [71]3 years ago
5 0

Answer: The book costs $10 and the pen costs $4✔️

Step-by-step explanation:

Let B the cost of the book and let P the cost of the pen.

Then we know:

The book and the pen cost $14:

B + P = $14 } Equation 1  

We also know:  

The cost of the book is two dollars more than twice the cost of the pen.

B = 2P + $2 } Equation 2  

Now we can substitute the value of B from the equation 2 in the equation 1:

2P + $2 + P = $14

3P = $14 - $2 = $12

P = $12/3 = $4 , cost of the pen

Since we know the value of B from the equation 2, we can calculate B:

B = 2P + $2 = 2x$4 + $2 = $8 + $2 = $10 , cost of the book

Answer: The book costs $10 and the pen costs $4✔️

<h3>Verify </h3>

We can substitute these values in equations 1 and 2 and check the results:

B + P = $14 } Equation 1

$10 + $4 = $14 ✔️check!

B = 2P + $2 } Equation 2  

$10 = 2x$4 + $2 = $8 + $2 = $10 ✔️check!

<h2><em>Spymore</em></h2>
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If copies of all your computer data are stored on four independent hard disk​ drives, what is the probability that during a​ yea
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Step-by-step explanation:

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<em>See comment for complete question</em>

Required

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First, calculate the probability that the none of the 4 selected is working;

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3 years ago
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3 years ago
A shelter has enough food to feed an average of 80 hungry people a day for 14 days. If an average of 32 people are at the shelte
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Answer:

  • <u>35 days. </u>

Explanation

The capacity of the shelter is a constant. It is 80 people × 14 days.

That is an inverse relation: the product of the number of people and the number of days will be always the same.

As the number of people decreases the number of days that the food lasts increases, in a proportion such that the product of the days and the number of people is the same.

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6 0
2 years ago
Read 2 more answers
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