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
Answer:
1269 square meters
Step-by-step explanation:
The path and the plot of land form two concentric circles (they have the same center). The radius of the plot of land is 100m (half of the diameter) and the radius of the larger circle, formed by putting a 2m wide path around the plot of land, is 102m. Thus, the area of the path is 
minus 
which will be 
which is 
. Estimate 
to 3.141 and calculate, getting 1268.964... which is 1269, rounded to the nearest square meter.
Hope this helps :)
1. M
2. F
3. J
4. D
6. ∠FGH, ∠HGF, ∠G, Right ∠
7. ∠BCD, ∠DCB, ∠D, Acute ∠
So 12 members
they have 3 slots
assuming they choose from the group of 12 members
12 choices for the first slot
2nd slot: 1 is taken so 12-1=11 choices for the second
3rd slot: 2 are taken so 12-2=10 choices for te 3rd
answer is 12 times 11 times 10=1320=B
the answer is B
Answer:
3/2
Step-by-step explanation:
Given y = 2x + 5, let's rewrite the equation in terms of x;
y = 2x + 5 => Bring 5 to the other side
2x = y - 5 => Divide either side by 2
x = (y - 5)/2
If we want to take the inverse, simply swap the variable's positions...
We have y = (x - 5)/2
Now let's determine f^-1(8), substituting for "y" provided y is our inverse, f^-1
f^-1(8) = (8 - 5)/2 = 3/2
Solution: 3/2
