Answer:
With 1 gallon of blueberries, Sam can fill 4/3 of his container.
Step-by-step explanation:
By the given situation:
1/2 gallon of blueberries ⇒ The container is 2/3 full
Now, let us assume 1 gallon of blue berries ⇒ The container is m full.
Now, by the RATIO OF PROPORTIONALITY:
![\frac{\frac{1}{2} }{\frac{2}{3} } = \frac{1}{m} \\\implies {\frac{1}{2} } \times {\frac{3}{2} } = \frac{1}{m}\\or,\frac{1}{m} = \frac{3}{4} \\\implies m = \frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%7B%5Cfrac%7B2%7D%7B3%7D%20%7D%20%20%3D%20%5Cfrac%7B1%7D%7Bm%7D%20%5C%5C%5Cimplies%20%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%5Ctimes%20%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7Bm%7D%5C%5Cor%2C%5Cfrac%7B1%7D%7Bm%7D%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20%5C%5C%5Cimplies%20%20m%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D)
Hence, with 1 gallon of blueberries, Sam can fill 4/3 of his container.
Four times ( a number plus 5 ) times s
Answer:
Step-by-step explanation:
so you can find the average by adding all the numbers together then dividing by how many there are
28 39 45 55 52 35 24
so add them up then divide them by 7
hope its helpful
Answer:
Part 1) The shapes that make up the figure are two hemispheres and a cylinder
Part 2) see the explanation
Part 3) see the explanation
Part 4) ![V=34\frac{2}{3}\pi\ mm^3](https://tex.z-dn.net/?f=V%3D34%5Cfrac%7B2%7D%7B3%7D%5Cpi%5C%20mm%5E3)
Step-by-step explanation:
Part 1) Define the shapes that make up the figure.
we know that
The shapes that make up the figure are two hemispheres and a horizontal cylinder
Part 2) Identify the volume formula(s) that will be be used for each shape in number 1.
we know that
The volume of a hemisphere is equal to
![V=\frac{2}{3}\pi r^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B2%7D%7B3%7D%5Cpi%20r%5E%7B3%7D)
where
r is the radius of the hemisphere
The volume of a cylinder is equal to
![V=\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7Dh)
where
r is the radius of the base of cylinder
h is the height or length of the cylinder
Part 3) Find the volume for each individual shape.
step 1
Find the volume of a hemisphere
![V=\frac{2}{3}\pi r^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B2%7D%7B3%7D%5Cpi%20r%5E%7B3%7D)
we have
![r=2\ mm](https://tex.z-dn.net/?f=r%3D2%5C%20mm)
substitute
![V=\frac{2}{3}\pi (2)^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B2%7D%7B3%7D%5Cpi%20%282%29%5E%7B3%7D)
![V=\frac{16}{3}\pi\ mm^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B16%7D%7B3%7D%5Cpi%5C%20mm%5E%7B3%7D)
step 2
Find the volume of the horizontal cylinder
![V=\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7Dh)
we have
![r=2\ mm](https://tex.z-dn.net/?f=r%3D2%5C%20mm)
![h=10-2-2=6\ mm](https://tex.z-dn.net/?f=h%3D10-2-2%3D6%5C%20mm)
substitute
![V=\pi (2)^{2}(6)](https://tex.z-dn.net/?f=V%3D%5Cpi%20%282%29%5E%7B2%7D%286%29)
![V=24\pi\ mm^3](https://tex.z-dn.net/?f=V%3D24%5Cpi%5C%20mm%5E3)
Part 4) Find the composite volume of the original figure
The volume of the composite figure is equal to the volume of two hemisphere plus the volume of the cylinder
so
![V=2(\frac{16}{3}\pi)+24\pi\\\\V=\frac{32}{3}\pi+24\pi](https://tex.z-dn.net/?f=V%3D2%28%5Cfrac%7B16%7D%7B3%7D%5Cpi%29%2B24%5Cpi%5C%5C%5C%5CV%3D%5Cfrac%7B32%7D%7B3%7D%5Cpi%2B24%5Cpi)
![V=\frac{104}{3}\pi\ mm^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B104%7D%7B3%7D%5Cpi%5C%20mm%5E3)
Convert to mixed number
![\frac{104}{3}\pi\ mm^3=\frac{102}{3}\pi+\frac{2}{3}\pi=34\frac{2}{3}\pi\ mm^3](https://tex.z-dn.net/?f=%5Cfrac%7B104%7D%7B3%7D%5Cpi%5C%20mm%5E3%3D%5Cfrac%7B102%7D%7B3%7D%5Cpi%2B%5Cfrac%7B2%7D%7B3%7D%5Cpi%3D34%5Cfrac%7B2%7D%7B3%7D%5Cpi%5C%20mm%5E3)
Answer:
A) 54
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, first thing's first: find the area.
The formula for area is L*W
L=9 ft
W=6 ft
9*6=54 sq ft
Since the area is 54 sq ft, and each small glass square is 1 sq ft, you would need A) 54 squares of glass
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥