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

Answer:

A. $\frac{x}{0.9}$

B. $\frac{10}{9}*x$  

Step-by-step 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:

$\frac{90}{100}*V=x$

$0.9V=x$

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

$\frac{0.9V}{0.9}=\frac{x}{0.9}$

$V=\frac{x}{0.9}$

Therefore, the expression $\frac{x}{0.9}$ 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

$\frac{90}{100}*V=x$

$\frac{9}{10}*V=x$

$\frac{9V}{10}=x$

$\frac{9V}{10}*10=10*x$

$9V=10*x$

$\frac{9V}{9}=\frac{10}{9}*x$

$V=\frac{10}{9}*x$

Therefore, the expression $\frac{10}{9}*x$ also represents the volume of a full bottle of Jun's favorite hot sauce, in milliliters and option B is the correct choice.