Answer:
![x=12 groups](https://tex.z-dn.net/?f=x%3D12%20groups)
This will give 5 Students each in 12 different equally sized groups
![x'=5groups](https://tex.z-dn.net/?f=x%27%3D5groups)
This also shows that students can grouped in equal groups of 12 in 5 places
Step-by-step explanation:
From the question we are told that
60 children in equal sized groups
Generally interpreting
can be mathematically represented as
a)
![x=\frac{60}{5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B60%7D%7B5%7D)
![x=12 groups](https://tex.z-dn.net/?f=x%3D12%20groups)
This will give 5 Students each in 12 different equally sized groups
b)
![x'=\frac{60}{12}](https://tex.z-dn.net/?f=x%27%3D%5Cfrac%7B60%7D%7B12%7D)
![x'=5groups](https://tex.z-dn.net/?f=x%27%3D5groups)
This also shows that students can grouped in equal groups of 12 in 5 places
20 in because it will over everything
Answer:
Option D, the volume is 15.625 cubes
Step-by-step explanation:
For a cube of side length L, the volume is:
V = L^3
for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:
v = (1in)^3 = 1 in^3
Then:
1 in^3 is equivalent to one small cube
Here we know that the side length of our cube is (2 + 1/2) in
Then the volume of this cube will be:
V = [ (2 + 1/2) in]^3
To simplify the calculation, we can write:
2 + 1/2 = 4/2 + 1/2 = 5/2
Then:
V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3
This means that 15.625 small cubes will fill the prism.
So the correct option is D.
Answer:
Im sosorry my internet is so poor sorry.
Answer:
To figure out the common denominator for these fractions, I'll first need to factor that quadratic in the denominator on the right-hand side of the rational equation. This will also allow me to find the disallowed values for this equation. Factoring gives me:
x2 – 6x + 8 = (x – 4)(x – 2)
The factors of the quadratic on the right-hand side "just so happen" to be duplicates of the other denominators. This often happens in these exercises. (So often, in fact, that if you get completely different factors, you should probably go back and check your work.)
Step-by-step explanation: