A family took a road trip that required them to drive 560 miles. Mom, Dad, and their oldest son, Alex, took turns driving. Dad drove twice as far as mom and 60 miles more than Alex. How far did Dad drive

248 miles

Step-by-step explanation: The equation is x+2x+2x-60 where x is the mom and 2x is Dad and since dad drove 60 miles more than alex then Alex drove 60 miles less than dad so 2x -60 is alex. Altogether x+2x+2x-60 = 560 total miles driven and solved is x = 124 however x is just the mom. The dad drove twice as much so we have to double 124 or multiply by 2 to get the amount The dad drove which is 124*2= 248 miles

y=x+9

?

step-by-step explanation:

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