volume of the box is 675 cubic inches
A machine produces open boxes using square sheets of plastic.
It is a square sheet so length and width are same
Lets assume length as x so width is also x
The machine cuts equal-sized squares measuring 3 inches on a side from each corner of the sheet.
After turning up the sides the height of the box becomes 3 inches
We know the volume of a box formula
Volume = Length * width * height
We know length is x , width is x and height = 3
So V = x * x * 3
Given volume = 675 cubic inches


Divide by 3 on both sides

Now we take square root on both sides
x = 15
the length of one side of the open box is 15 inches.
The expression represents the number of packages of mulch that will be needed to cover both rounded ends is 600/x
<h3>How to determine the
expression represents the
number of packages of
mulch that will be needed to cover both rounded ends?</h3>
The given parameters are:
Area covered = 300 square feet
Number of ends = 2
So, the total surface area is:
Total surface area = Area covered * Number of ends
This gives
Total surface area = 300 * 2
Total surface area = 600 square feet
Let the area covered by each package of mulch be x.
So, the number of mulch is
Number = Area covered/area covered by each
This gives
Number = 600/x
Hence, the expression represents the number of packages of mulch that will be needed to cover both rounded ends is 600/x
Read more about areas at:
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Answer:
y=2/5x+2
slope: 2/5
y=-1/4x+4
y-intercept: 4
Step-by-step explanation
The equation for slope-intercept form is y=mx+b.
m=the slope
b= the y-intercept
Answer:
$48.96
Step-by-step explanation:
Given data
Length= 10inches
Width=14 inches
Let us find the perimeter of the certificate
P=2L+2W
P= 2*10+2*14
P=20+28
P= 48 inches
Hence if 1 inche cost $1.02
Then 48 inches will cost x
cross multiply we
x= 48*1.02
x= $48.96
Hence it will cost $48.96 to frame the certificate