Hector added 30.24 + 16.26. his work is shown.
what error did hector make?
30.24
+16.26
46.410
he did not line up the decimal points properly.
he did not line up the digits properly.
he did not regroup hundredths when adding digits.
he did not regroup tenths when adding digits.

He did not regroup hundredths when adding digits

Step-by-step explanation:

30.24

+16.26

46.50

It can't be the first two, and because .04+.06 are hundredths, it must be the third one.

He did not regroup hundredths when adding digits.

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5

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