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Lelechka [254]
3 years ago
5

Michael is an avid reader, his generous grandparents gave him money for his birthday, and he decided to spend at most $150 on bo

oks. Barnes and Noble is running a special: all paperback books are $8.00 and hard back books are $12.00. Michael wants to purchase at least 12 books.
Write a system of inequalities to represent the situation.
Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

The system of inequality to represent the situation is

p + h \geq 12  

8 p + 12 h = 150

Step-by-step explanation:

Given as :

Total money to be spend on books = $150

The cost of each paperback book = $8

The cost of each hard back book = $12

The total number of books to be purchased = 12

Let The number of paperback books = p

Let The number of hard back books = h

<u>According to question</u>

Total number of books to be purchased =  number of paperback book + number of hard back book

i.e p + h \geq 12            ...........A

<u>Again</u>

Total money to be spend on books =  number of paperback books × cost of each paperback book  +  number of hard back books × cost of each hard back book

i.e p × $8 + h × $12 = $150

Or, 8 p + 12 h = 150         .........B

So, The system of inequality to represent the situation =

p + h \geq 12     and  8 p + 12 h = 150

Hence, The system of inequality to represent the situation is

p + h \geq 12 and  8 p + 12 h = 150  . Answer

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The step in which Yvonne first makes an error while solving the quadratic equation by completing the square in step 1.

<h3>What is a quadratic equation?</h3>

A quadratic equation is an equation in which the highest power of the variable is two.

Yvonne is solving the quadratic equation, which is,

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He is solving the above equation by completing the square.

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In the image attached below, the first step of  the Yvonne while solving the equation by completing the square is,

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Here, Yvonne does not change the sign of the number 7 while taking it to another side of the equation.

Hence, the step in which Yvonne first makes an error while solving the quadratic equation by completing the square is step 1.

The table is attached with the answer below

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Step-by-step explanation:

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c) The probability of more than one case is:

P(k>1)=1-P(k\leq 1)=1-0.990=0.010

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