To calculate the number of newspapers per hour, divide the total number of newspapers in a week by the number of hours in a week.
To calculate the number of newspapers per hour, we need to know the number of hours in a week. There are 24 hours in a day and 7 days in a week, so there are 24 x 7 = 168 hours in a week. To find the number of newspapers per hour, we divide the total number of newspapers in a week by the number of hours in a week. In this case, 168 newspapers divided by 168 hours will give us 1 newspaper per hour.
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The length of the rectangular prism obtained by finding the quotient of the volume divided by the product of height and width. Hence, the length of the box is x + 4
The volume of a rectangular prism is given calculated using the formula :
Volume = Length × width × height
From the formula :
Length =
Width × height = (x - 1)(x + 8)
(x - 1)(x + 8) = x² + 8x - x - 8
= x² + 7x - 8
Using long divison :
______ | x + 4
______ | _______________
x²+7x-8 | x³ + 11x² + 20x – 32
______ | x³ + 7x² - 8x
-______| ___ 4x²+28x
___________4x²+28x - 32
-___________0__0 ___0
Therefore, the quotient, which is the value of the length of the rectangular prism ls x+ 4
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we know that
the volume of a rectangular prism is equal to
where
L is the length of the box
W is the width of the box
H is is the height of the box
in this problem we have
Find the length of the box
Using a graph tool-------> we will determine the roots of the equation of volume
see the attached figure
the roots are
so
therefore
the answer is
the length of the box is equal to
x= -66/19
Multiply 2 on both sides:
2*(5x+6)/2=3(4x+12)*2
Simplify:
5x+6=24x+72
Subtract 6 from both sides:
5x+6-6=24x+72-6
Simplify:
5x=24x+66
Subtract 24x from both sides:
5x-24x=24x+66-24x
Simplify:
-19x=66
Divide both sides by -19
-19x/-19=66/-19
Simplify:
x= -66/19