.05*2000=100 Non-Sporting
.06*2000=120 Herding
.24*2000=480 Sporting
.21*2000=420 Working
.16*2000=320 Hound
.16*2000=320 Terrier
.12*2000=240 Tay
Hope I didn't mess up for your sake
Let's clear out the fraction(s):
Mult. all 3 terms by 3, obtaining 18 = 3x + 2. Simplifying, 16 = 3x.
Then x = 16/3 (answer).
Check: does (16/3) + (2/3) = 6? Yes, since 18/3 = 6.
12 is a negative you cannot combine opposites
Eighths and their multiples are common fractions which I recommend memorizing, but to actually solve this, you use the literal meaning of a fraction and divide 5 by 8. See the long-division below (it was surprisingly difficult to type, so I hope it helps!).
To round 0.625 to the nearest hundredth, we go to the second decimal place, which is 5, so we round up to 0.63.
A.) v = πr^2h
v = π (20^2) * 50
v = π (400*50)
v = 20,000π
B.) v = πr^2h
v = π (4^2) * 10
v = π (16*10)
v = 160π
C.) 20,000π ÷ 160π = 125π
So, it can fill 125 mugs.