Answer:
13 boxes
Step-by-step explanation:
Given
See attachment for closet
Required
Determine the number of boxes needed to fill the closet
First, we calculate the volume of the two section.
![Volume = Width * Length * Height](https://tex.z-dn.net/?f=Volume%20%3D%20Width%20%2A%20Length%20%2A%20Height)
From the attachment
The first section is:
![Width = 5ft\\ Length = 4ft\\ Height = 8ft](https://tex.z-dn.net/?f=Width%20%3D%205ft%5C%5C%20Length%20%3D%204ft%5C%5C%20Height%20%3D%208ft)
![V_1 = 5ft * 4ft * 8ft](https://tex.z-dn.net/?f=V_1%20%3D%205ft%20%2A%204ft%20%2A%208ft)
![V_1 = 160ft^3](https://tex.z-dn.net/?f=V_1%20%3D%20160ft%5E3)
The second section:
The width is the last label at the top
The length is the difference between the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft
The volume is:
![V_2 = 3ft * 2ft * 8ft](https://tex.z-dn.net/?f=V_2%20%3D%203ft%20%2A%202ft%20%2A%208ft)
![V_2 = 48ft^3](https://tex.z-dn.net/?f=V_2%20%3D%2048ft%5E3)
Total volume (V) is:
![V = V_1 + V_2](https://tex.z-dn.net/?f=V%20%3D%20V_1%20%2B%20V_2)
![V = 160ft^3 + 48ft^3](https://tex.z-dn.net/?f=V%20%3D%20160ft%5E3%20%2B%2048ft%5E3)
The number of box (n) needed is then calculated by dividing the calculated volume of the closet by the volume of each box
![n = \frac{208ft^3}{16ft^3}](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7B208ft%5E3%7D%7B16ft%5E3%7D)
![n = 13](https://tex.z-dn.net/?f=n%20%3D%2013)
Answer:
The slope is -1.
Step-by-step explanation:
We want to find the slope of the line that is parallel to the line joining the points (7, -5) and (-5, 7).
First, we can use the slope formula to find the line passing through (7, -5) and (-5, 7). The slope formula is:
![\displaystyle m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Substitute and evaluate:
![\displaystyle m=\frac{(7)-(-5)}{(-5)-(7)}=\frac{12}{-12}=-1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B%287%29-%28-5%29%7D%7B%28-5%29-%287%29%7D%3D%5Cfrac%7B12%7D%7B-12%7D%3D-1)
So, its slope is -1.
Recall that parallel lines have the same slope.
Therefore, the slope of the line that is parallel to the line joining the points (7, -5) and (-5, 7) will also be -1.
Answer:
Step-by-step explanation:
I believe the answer is 20 sorry
So, we need to count up 1/4 each time till we get to 3.
1/4, 2/4, 3/4, 1, 1 1/4, 1 2/4, 1 3/4, 2, 2 1/4, 2 2/4, 2 3/4, 3.
Now, let's count how many times we counted to get to 3.
12.
So, Jill used 12 bottles of lotion.
Glad I could help, and good luck!
AnonymousGiantsFan
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