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svlad2 [7]
3 years ago
8

Instructions:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
2 answers:
larisa [96]3 years ago
4 0
A knitter with 14 skeins of yarn can make 7 scarves

Explanation:
We can use a proportion to solve this

4 skeins of yarn
-----------------------
2 scarves

That is the information we know. What we want to do is find out how many scarves for 14 skeins of yarn, like this

4 14
-- = ---
2 ?

To get from 4 to 14, you multiply by 3.5. We must to the same thing to the bottom as well. So we multiply 2 by 3.5, which gives us 7

x3.5
4 14
-- = ---
2 7
x3.5

serg [7]3 years ago
4 0
The answer is 7. since the ratio of skeins to scarves is 2:1, 14:7
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Sauron [17]

let's firstly find the equation of the parabola, bearing in mind that x-intercepts or solutions/zeros/roots means y = 0.

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\bf 3=a\qquad \qquad \textit{therefore}\qquad \qquad \boxed{y=3(x-1)^2-9} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{y}{0}=3(x-1)^2-9\implies 9=3(x-1)^2\implies \cfrac{9}{3}=(x-1)^2\implies 3=(x-1)^2 \\\\\\ \pm\sqrt{3}=x-1\implies \pm\sqrt{3}+1=x\implies x= \begin{cases} \sqrt{3}+1\\ -\sqrt{3}+1 \end{cases}\implies x\approx \begin{cases} 2.73\\ -0.73 \end{cases}

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3 years ago
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