Answer:
24 candies originally
Step-by-step explanation:
Add the 4 to how many you had left, then think about that number, 16, and what goes into 16 evenly 2 times? 8 and originally she gave away 1/3 of the box and if you were to add another 8 to the box it would be 24 divided by 1/3, -,-4,= 12.
x=0
because you must
determine the undefined range
write all numerators above the common denomonator
multiply the parenthesis
collect the alike terms
remove parenthesis
eliminate the opposites collect the like terms
set the numerator equal to 0
divide both sides by 6
check if thesolution is the defined range
if so then you would find your answer X=0
6. the answer is 4. because u find the diameter by dividing by 2.
7. answer = 8 , the radius is 4 . so u need to multiply 2 times 4. 2 times 4 =8.
Answer:
the volume of the sphere is
![33.51 in^{3}](https://tex.z-dn.net/?f=33.51%20in%5E%7B3%7D)
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere and cube.
Given data
Volume of cube v = 64 cubic inches
since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,
we know that volume of cube is expressed as
![v= l*b*h](https://tex.z-dn.net/?f=v%3D%20l%2Ab%2Ah)
![v=l^{3}](https://tex.z-dn.net/?f=v%3Dl%5E%7B3%7D)
![64= l^{3}](https://tex.z-dn.net/?f=64%3D%20l%5E%7B3%7D)
![l= \sqrt[3]{64}](https://tex.z-dn.net/?f=l%3D%20%5Csqrt%5B3%5D%7B64%7D)
![l= 4 in](https://tex.z-dn.net/?f=l%3D%204%20in)
also diameter d=length l
Diameter d=
Radius r =
=
= ![{2 in}](https://tex.z-dn.net/?f=%7B2%20in%7D)
Height h=![4in](https://tex.z-dn.net/?f=4in)
we know that the volume of a sphere is given by
![v= \frac{4}{3} \pi r^{3}](https://tex.z-dn.net/?f=v%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D)
substituting into the formula we have
![v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}](https://tex.z-dn.net/?f=v%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5C%20%2A3.142%2A2%5E%7B3%7D%20%5C%5Cv%3D%5Cfrac%7B4%2A3.142%2A8%7D3%7D%20%5C%5Cv%3D%20%5Cfrac%7B100.54%7D%7B3%7D%20%5C%5Cv%3D%2033.52in%5E%7B3%7D)
Answer:
A.
Step-by-step explanation: