Answer:




Step-by-step explanation:
Given

Required
Determine equations with same solution as 
For a solution to have the same solution as
, the equation must be expressed as 

This can not be expressed as 

Multiply through by -1


This has the same solution as the given equation

Divide through by 5


This has the same solution as the given equation

Divide through by 2


This can not be expressed as 

Divide through by 2


This has the same solution as the given equation

Multiply through by 2


This has the same solution as the given equation

Multiply through by 3


This can not be expressed as 
The equations with the same solution as
are the ones that we were able to expressed as
.
And the equations are:




In order to find the number of hats, multiply all the choices together, disregarding size:
4 * 4 * 7 <-- 4 styles * 4 stitches * 7 yarns
= 16 * 7 = 112
112 different hats can be made.
Answer:
13
Step-by-step explanation:
The cube made up of 8 cubes would have a greater amount of volume. We can infer this without doing any math because a row is neither tall or deep to allow for great volume while a cube made up of other cubes is deep allowing for a bigger volume than the row.