if a car can travel 220 miles on 12 gallons of gas, how many gallons
should it take to drive 500 miles?

Set up a ratio of known to unknown:

Let X = the amount of gas needed for 500 miles:

220/12 = 500/x

Cross multiply:

220x = 6000

Divide both sides by 220:

X = 6000 / 220

x = 27.27 gallons (round answer as needed).

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

answer: 270

step-by-step explanation:

you have to times 200 by 1.35 to get your answer