Find the sum 1.56 + 0.083. Show your reasoning

1.643

Step-by-step explanation:

1.56 + 0.083

1.56 = 1.560

Starting from the digits the closest to the right, we do

0.003 + 0.000 = 0.003

0.08 + 0.06 = 0.14

so right now we have 0.143

0.0 + 0.5 = 0.5

so now we have 0.643 (because 0.1 + 0.5 = 0.6)

and finally 1 + 0 = 1

so we end with 1.643

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

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