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Tasya [4]
3 years ago
15

four balls of wool will make 8 knitted caps.how many balls of wool will malcom need if he wants to make 6 caps?

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0
We can express this as a ratio. 4 balls :8 caps.

Then simplify. 1 ball: 2 caps.

We have to make caps equal to 6, so multiply by 3. For consistency, we need to multiply the number of balls by 3 too.

3 balls: 6 caps.

So Malcolm needs 3 balls of wool.
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we have

5y+4=(x+3)^{2}+\frac{1}{2}

Step 1

Swap x and y

5x+4=(y+3)^{2}+\frac{1}{2}

Step 2

Solve for y

5x+4-\frac{1}{2}=(y+3)^{2}

(y+3)^{2}=5x+\frac{7}{2}

Square root both sides

(y+3)=(+/-)\sqrt{5x+\frac{7}{2}}

y=(+/-)\sqrt{5x+\frac{7}{2}}-3

Step 3

Let

f(x)^{-1}=y

f(x)^{-1}=(+/-)\sqrt{5x+\frac{7}{2}}-3

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We want to find the distance between the first page of the first book in a collection and the last page of that collection.

We will get that the distance is 13cm

Let's see how to solve this:

<u>We know that:</u>

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We want to find the distance between the first page of the first volume and the last page of the last volume.

Because we go from the first page of the first volume to the last page of the last volume, we <u>will ignore the first cover and pages of the first volume and the pages and back cover of the last volume</u>.

We ignore the pages because in normal book positioning, the first page will be on the right side of the book (and the last page is on the left side), and if we order the books from left to right, then we can ignore all the other pages of book I and book IV.

Then we have:

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Now we just need to add all the correspondent measures:

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Then the distance between the page 1 of volume I and last page of volume IV is 13cm.

If you want to learn more, you can read:

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