Chapter 2: Q12. (page 107)

If $0.85 x = 8.5$ , what is the value of $\frac{1}{x}$ ?

Short Answer

Expert verified

The value of $\frac{1}{x}$ is $0.1$ .

Step by step solution

Step-1 – Apply the concept of reciprocal

For a real number x, the reciprocal of the number is $\frac{1}{x}$ .

Step-2 –Simplify the expression

Consider the provided expression $0.85 x = 8.5$ .

Divide both sides by x.

$\begin{matrix} \frac{0.85 x}{x} = \frac{8.5}{x} \\ 0.85 = \frac{8.5}{x} \end{matrix}$

Step-3 –Evaluate the expression

Next divide both sides by 8.5.

$\begin{matrix} \frac{0.85}{8.5} = \frac{8.5}{8.5 \cdot x} \\ \frac{85 \times 10}{85 \times 100} = \frac{1}{x} \\ \frac{1}{10} = \frac{1}{x} \\ 0.1 = \frac{1}{x} \end{matrix}$

Thus, the value of $\frac{1}{x}$ is $0.1$ .

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If $0.85 x = 8.5$ , what is the value of $\frac{1}{x}$ ?

Short Answer

Step by step solution

Step-1 – Apply the concept of reciprocal

Step-2 –Simplify the expression

Step-3 –Evaluate the expression

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If 0.85x=8.5, what is the value of 1x?

Short Answer

Step by step solution

Step-1 – Apply the concept of reciprocal

Step-2 –Simplify the expression

Step-3 –Evaluate the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Decision Maths

Pure Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

If $0.85 x = 8.5$ , what is the value of $\frac{1}{x}$ ?