So
2/6 of 318=106
so 106-1/2 or 106/2=53
So he has 53 boxes left
Answer:
-3x(7x+8)
Step-by-step explanation:
-3x^2-18x^2-24x
-3x(x+6x+8)
-3x(7x+8)
Complete question :
At camp in Green Bay, Wisconsin, 7/9 of the participants were from Wisconsin. Of that group 3/5 were 12 years old. What fraction of the group was from Wisconsin and 12 years old?
Answer:
7/ 15
Step-by-step explanation:
Fraction from Wisconsin = 7/9
Fraction who are 12 years old = 3/5
Fraction who are from Wisconsin and 12 years old
(Fraction from Wisconsin * Fraction who are 12 years old)
(7 / 9 * 3/ 5)
= (7 * 3) / (9 * 5)
= 21 / 45
= 7 / 15
<h3><u>
Answer:</u></h3>
Hence, the value of z is:
20
<h3><u>
Step-by-step explanation:</u></h3>
The point C is the mid point of the line segment VW.
That is it divides the line segment VW into two equal segments.
i.e. Length of segment VC= Length of line segment CW.
Also we are given that:
Length VW=61
Length VC=z+13
and Length CW=z+8
This means that:
VC+CW=VW
i.e. z+13+z+8=61
⇒ 2z+21=61
⇒ 2z=61-21
⇒ 2z=40
⇒ z=20
Hence the value of z is:
20
<h2>
Answer:</h2>
cylinder
<h2>
Step-by-step explanation:</h2>
Archimedes was a brilliant mathematician. This man rose the formula of the volume of a sphere by comparing this shape to a cylinder. The volume of a sphere is hard to calculate by comparing this object to a cube. So Archimedes imagined cutting a sphere into two halves, called hemispheres. So an hemisphere gave him a flat surface, which is easier to work with. Therefore, if he'd find the volume of a hemisphere, then he'd multiply the result by 2 and would get the volume of a sphere. Then he imagined a hemisphere within a cylinder as the one shown below. Also, he imagined a cone within the same cylinder. <em>What did he find? </em>He found that the volume of the hemisphere should be equal to the volume of the cylinder minus the volume of the cone:

Then the volume of a sphere is twice this volume:
