Question

The product of a number and -2/3 is -9/10
(20 Points)
What is the number?

Answer 1

1 7/20

Explanation:

Answer 2

`\large\boxed{n=(27)/(20)}`

Explanation:

`\text{Let}\ n\ \text{is a number.}\\\\\text{The product of a number and}\ -(2)/(3)\ \text{is}\ -(9)/(10):\\\\-(2)/(3)\cdot n=-(9)/(10)\\\\-(2n)/(3)=-(9)/(10)\qquad\text{change the signs}\\\\(2n)/(3)=(9)/(10)\qquad\text{cross multiply}\\\\(2n)(10)=(3)(9)\\\\20n=27\qquad\text{divide both sides by 20}\\\\(20n)/(20)=(27)/(20)\\\\\boxed{n=(27)/(20)}`