the product of two numbers is 10. if one of the numbers is 1/6, what is the other number?

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The product of 2 numbers is `10.`

So, `xy = 10.`

If one of the numbers is `1/6`  then we can let either x or y be `1/6.`

Therefore, if we let y = `1/6`  and substitute into the equation xy = 10, then we have:

`1/6x = 10`

In order to solve for...

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The product of 2 numbers is `10.`

So, `xy = 10.`

If one of the numbers is `1/6`  then we can let either x or y be `1/6.`

Therefore, if we let y = `1/6`  and substitute into the equation xy = 10, then we have:

`1/6x = 10`

In order to solve for x, multiply both sides by 6 to get:

`6* 1/6x = 10*6`

` ` `:.` `x = 60`

Final Answer: x = 60

Approved by eNotes Editorial Team
An illustration of the letter 'A' in a speech bubbles

Product of two numbers is 10. We can write this as `xcdoty=10`  (`x` and `y` are those two numbers).

One of the numbers is `1/6` . Let's say that's `y` . So now we have 

`1/6cdotx=10`

Now we multiply whole equation by 6.

`x=60`

Hence the other number is 60.

Approved by eNotes Editorial Team