To change a recipe that serves 8 to make it serve 5, by what fraction would you multiply each ingredient?

Mathematics

1 answer:

NARA [144]3 years ago

8 0

Let, that fraction = x
So, 8 * x = 5
x = 5/8

In short, Your Answer would be 5/8

Hope this helps!

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Step-by-step explanation:

Step 1; Simplify the Double Inequality

Let's first simplify this double inequality to make answering this problem a bit easier. This means getting the middle term to be just y, without any added constant or coefficients.

In this case, this is a fairly simple process, as all we have to do to get y by itself is just divide the entire inequality by 2. This means that we will also divide the 5 and 12 by 2. (Note that the signs stay the same because we are not dividing by a negative number.)

Doing so gives us the following double inequality: 2.5 < y < 6.

Step 2: Identify the Integers in this Range

Now that we have a simplified double inequality, all we need to do is find all of the integers in its range. (Recall that an integer is any number that is not a fraction when fully simplified (ex. …-1, 0, 1...).)

In other words, we need to find all of the integers in between 2.5 and 6. Note that we don't include 6 because of the "<" sign, which indicates that the 2.5 and 6 are not included in the set. These numbers are 3, 4, and 5, making them your answer. Hope this helps!

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