Austin's gas tank is 2/9 full. after he buys 12 gallons of gas, it is 2/3 full. how many gallons can austin's tank hold?

27 gallons

let x represent a full tank, then

x + 12 + x = x

multiply through by 9 to eliminate fractions

2x + 108 + 3x = 9x

5x + 108 = 9x ( subtract 5x from both sides )

108 = 4x ( divide both sides by 4 )

x = 27 ← full tank

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

can i see the following ?

step-by-step explanation: