156 ÷ 24 and 102 ÷ 15 both have a quotient of 6 and a remainder of 12.
a. are the division expressions equivalent to each other? use your knowledge of decimal division to justify your answer.
b. construct your own division problem with a two-digit divisor that has a quotient of 6 and a remainder of 12 but is not equivalent to the problems in 1(a).

Given that

a)

156/24 and 102/15 both have quotient of 6 and a remainder of 12.

  156/24:            

 24) 156 (6

       -144

          12

102/15 :

15) 102 (6

       -90

          12

So yes we can say that both have same quotient of 6 and a remainder of 12.

b)

132/20:

20) 132 (6

       -120

          12

Table of 24       Table of 15                     Table of 20          

24                           15                                20

48                           30                              40

72                           45                              60

96                          60                              80

120                        75                               100

144                        90                               120

168                       105                               140

192                      120                                160

216                     135                                  180

240                     150                                 200

c

step-by-step explanation:

it would be see because your formula is f(x)=6x, so 6 times 1 is 6 and you go on and the best answer is c.

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