Question

seven less than the quotient of a number, x, and twelve is five times the number. which answer represents this situation? x/12−7 5x 7−x/12=5x 7−x/12 5x x/12−7=5x

Answer 1

Quotient is basically the answer you get when you divide two numbers. For example, the quotient of 6 and 3 is 2 because when I divide 6 by 3, I get 2.

Quotient of a number x and 12 =
`(x)/(12)`

7 less than quotient of a number x and 12 =
`(x)/(12) - 7`

5 times the number = 5*x = 5x

Hence, the equation is;


`(x)/(12) - 7 = 5x`


`(x-(7*12))/(12) = 5x`


`x-84 = 5x*12`


`x - 84 = 60x`


`x - 60x = 84`


`-59x = 84`

x =
`(84)/(-59) = - (84)/(59)`

= -1.423728813559322 ≈ 1.42

Hence, the answer is A.