Question

un used xx milliliters, or 90\%90%, of his favorite bottle of hot sauce. Which of the following expressions could represent the volume of a full bottle of Jun's favorite hot sauce, in milliliters? Choose 2 answers: Choose 2 answers: (Choice A) A \dfrac{x}{0.9} 0.9 x ​ (Choice B) B \dfrac{10}{9}x 9 10 ​ x (Choice C) C 0.9x0.9x (Choice D) D xx (Choice E) E x+0.1x+0.1

Answer 1

A.
`(x)/(0.9)`

B.
`(10)/(9)*x`

Explanation:

Let V be the volume of full bottle of Jun's favorite hot sauce.

We have been given that Jun used x millimeters or 90% of his favorite bottle of hot sauce. This means that 90% of V equals to x millimeters.

We can represent this information in an equation as:

`(90)/(100)*V=x`

`0.9V=x`

Upon multiplying both sides of our equation by 0.9 we will get,

`(0.9V)/(0.9)=(x)/(0.9)`

`V=(x)/(0.9)`

Therefore, the expression
`(x)/(0.9)` represents the volume of a full bottle of Jun's favorite hot sauce, in milliliters and option A is the correct choice.

Upon simplifying our expression we will get

`(90)/(100)*V=x`

`(9)/(10)*V=x`

`(9V)/(10)=x`

`(9V)/(10)*10=10*x`

`9V=10*x`

`(9V)/(9)=(10)/(9)*x`

`V=(10)/(9)*x`

Therefore, the expression
`(10)/(9)*x` also represents the volume of a full bottle of Jun's favorite hot sauce, in milliliters and option B is the correct choice.