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(4 − 3.5 · (2 1/7 − 1 1/5 )) ÷ 0.16 / x = 3 2/7 − 3/14 ÷ 1/6 / 41 23/84 − 40 49/60. What does x equal?

Option 1: Option 1: To solve for x, we need more context or information.
Option 2: Unable to determine the value of x without additional information.
Option 3: Please provide more information for a precise answer.
Option 4: Without additional information, x cannot be determined.

User Krisha
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1 Answer

5 votes

Final answer:

In this case, it does not provide enough information to solve for x. There is no equation or expression involving x that can be isolated to find its value.

The answer is option ⇒Option 4: Without additional information, x cannot be determined.

Step-by-step explanation:

To solve for x in the equation (4 − 3.5 · (2 1/7 − 1 1/5 )) ÷ 0.16 / x = 3 2/7 − 3/14 ÷ 1/6 / 41 23/84 − 40 49/60, we need to simplify the equation first.

Let's break it down step by step:

1. Simplify the expressions on both sides of the equation separately:

On the left side of the equation:

(4 − 3.5 · (2 1/7 − 1 1/5 )) ÷ 0.16 / x

On the right side of the equation:

3 2/7 − 3/14 ÷ 1/6 / 41 23/84 − 40 49/60

2. Evaluate the expressions within the parentheses, starting from the innermost parentheses and working outward:

On the left side:

(2 1/7 − 1 1/5 ) = (15/7 − 6/5)

On the right side:

No parentheses to evaluate..

3. Perform the arithmetic operations within the expressions:

On the left side:

(15/7 − 6/5) can be simplified by finding a common denominator:

(75/35 − 42/35) = (33/35)

On the right side:

No arithmetic operations to perform.

4. Substitute the simplified expressions back into the original equation:

On the left side:

(4 − 3.5 · (33/35)) ÷ 0.16 / x

On the right side:

3 2/7 − 3/14 ÷ 1/6 / 41 23/84 − 40 49/60

5. Simplify the expressions further, performing the remaining operations:

On the left side:

(4 − 3.5 · (33/35)) ÷ 0.16 / x can be simplified as:

(4 - (3.5 · 33/35)) ÷ 0.16 / x

On the right side:

No further simplification is required.

At this point, we have simplified the equation, but it does not provide enough information to solve for x. There is no equation or expression involving x that can be isolated to find its value.

Therefore, the correct answer is Option 4: Without additional information, x cannot be determined.

User Agey
by
9.0k points

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