Translate this sentence into an equation. the difference of rhonda's height and 16 is 52. use the variable to represent rhonda's height.

14

Step-by-step explanation:

let us call the number x for now

the number (x) is multiplied by 3 to give us

3x

then,

it is added to 6 to give

3x + 6

then, our sum is divided by 8:

(3x + 6) / 8

according to the question, the result is 6

therefore,

3x + 6 / 8 = 6

if we cross multiply,

3x + 6 = 8 ( 6 )

3x + 6 = 48

collecting like terms,

3x = 48 - 6

3x = 42

divide through by 3 to give

3x / 3 = 42 / 3

x = 14

therefore, x = 14

to reassure us of our answer,

since (3(x) + 6) / 8 = 6

and we know that x = 14,

therefore,

(3(14) + 6) / 8 = 6

(42 + 6) / 8 = 6

48 / 8 = 6

6 = 6

therefore, we are now sure that x = 14

hope this helps

thanks