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
If y is directly proportional to x then y:x.
When y = 30, x = 6 then 30/6 = 5:1. Therefor for every 1x there is 5y vice versa. When x = 12, then y = 5 * 12 = 60.
Therefore y = 60 hence 60:12
Answer:
1/4
Step-by-step explanation:
1/6 + 1/12
Multiply the numerator and denominator of the first fraction by 2.
2/12 + 1/12
Add both fractions, because they have a common denominator.
3/12
The fraction can be further simplified.
1/4
Answer:
The 39th triangle number is 780
