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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

User Sttwister
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1 Answer

4 votes

Answer:

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.


User The Unfun Cat
by
7.3k points