Question

Find the value of x 40,2x,140

Answer 1

set it up as equation

Step-by-step explanation:

hope this helps you get started

Answer 2

The correct value for
`\( x \)` is 10, and the sequence is 40, 20, 70.

Step-by-step explanation:

To find the value of
`\( x \)`, we need to observe the given sequence of numbers: 40, 2x, 140. The pattern involves multiplying the first number by
`\( x \)` to get the second number and then multiplying the second number by 3.5 to get the third number.

Let's break it down step by step:

1.
`\(40 * x = 2x\) (to get from 40 to 2x)`

2.
`\(2x * 3.5 = 140\) (to get from 2x to 140)`

Now, we can solve for
`\( x \)` in the first equation:

`\[40 * x = 2x\]`

Divide both sides by 40:

`\[x = (2x)/(40)\]`

Solving for
`\( x \)`:

`\[x = (1)/(20) * 2x\]`

`\[x = (1)/(10) * x\]`

`\[10x = x\]`

Now, we can safely say that
`\( x \)` must be 10. However, it's always good to check this value in the original sequence:

1.
`\(40 * 10 = 400\) (first term)`

2.
`\(2 * 10 = 20\) (second term)`

3.
`\(20 * 3.5 = 70\) (third term)`

So, the correct value for
`\( x \)` is indeed 10, and the sequence is 40, 20, 70.