Let
x-----------------> books in <span>the first shelf
</span>y-----------------> books in the second shelf
z-----------------> books in the third shelf
we know that
x+y+z=158-------------> equation (1)
x=y-8---------> y=x+8 -------> equation (2)
x=z+5--------> z=x-5 --------> equation (3)
<span>
substitute (2) and (3) in (1)
</span>x+(x+8)+(x-5)=158--------> 3x=155----------> x=51.7
<span>the number of books in the first shelf (x=51.7) is not a whole number
therefore
the answer is
Is not possible to place the amount of 158 books in the amounts indicated in the problem</span>
Answer: Hello My name is fatcat and sure I can talk to you (how was your day been today ):)
Step-by-step explanation:
In 1 year, it erodes 2 5/18
In 8 years, it will erode: 8*2 5/18= 41/9
Answer= 41/9 = 4 5/9
<h2>Steps:</h2>
So for this, we will be doing a system of equations. Using the info from our question, our two equations are:
(let x = greater number and y = lesser number)

Now, for this I will be using the substitution method. Since we know that x = 4y - 1, substitute that into the second equation:

From here we can solve for y. Firstly, combine like terms:

Next, subtract 4y on both sides of the equation:

Next, multiply both sides by -1:

Now that we know the value of y, substitute it into either equation to solve for x:

<h2>Answer:</h2>
In short, <u>5 is the lesser number and 19 is the greater number.</u>
Fred's overtime rate and pay is $17.925 and $98.5875 respectively
<h3>Total payment</h3>
- Amount paid per hour = $11.95
- Amount paid overtime per hour = $11.95 × 1.5
= $17.925
- Total hours worked last week = 45 1/2 hours
- Overwork time = 45 1/2 hours - 40 hours
= 5 1/2 hours
Fred's overtime pay = 5 1/2 hours × $17.925
= 11/2 × 17.925
= $98.5875
Normal work rate = 40 hours × $11.95
= $478
Fred's total pay = Fred's overtime pay + Normal work rate
= $98.5875 + $478
= $576.5875
Therefore, Fred's total pay is $576.5875
Learn more about total pay:
brainly.com/question/2021001
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