Answer:
Given sequence is not a geometric progression and there will be no common ration for this sequence.
Step-by-step explanation:
Need to determine common ration for the following geometric sequence
32, 8, 2, 12, ...
In given geometric sequence
a1 = 32, a2=8, a3=2, a4=12 ……….
Common ratio = 



Since
so we can say that given sequence is not a geometric progression and there will no no common ration for this sequence.
Answer:
2, 3
Step-by-step explanation:
The graph of quantities in direct proportion.
Is a straight line passing through the origin, thus
the line always crosses the y- axis at |(0, 0 )
Thus the y- intercept is 0
Answer: Maria has 10 bills of 5€ and 10 bills of 10€.
She has a total of 150€.
Step-by-step explanation:
Let be "f" the number of 5€ bills that Maria has and "t" the number of 10€ bills that Maria has.
Set up a system of equations:

Use the Substitution method to solve the system of equations:
1. Solve for "f" from the first equation:

2. Substitute the equation obtained into the second equation and solve for "t".
Then:

3. Substitute the value of "t" into the equation
and evaluate:

Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.
So the total amount of money she has, is:

She has a total of 150€.
Answer:
The capacity of the mug =
cups
Step-by-step explanation:
Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.
To find - Find the capacity of the mug. Write the answer as a fraction or mixed number
Proof -
Let the capacity of water = x
Given that,
A mug is
full of water
⇒Total cups of water in the mug = 
Now,
Given that, The mug contains
of a cup of water.
∴ we get
=
⇒x =
× 8
=
=
= 
⇒x = 
∴ we get
The capacity of the mug =
cups