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n200080 [17]
3 years ago
8

Ivan has 15 yards of green felt and 12 yards of

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Answer:

We need 5 yards green felt and 4 yards blue felt for each quilt.

<em>Step</em><em>-</em><em>wise</em><em>:</em>

Let length of green felt be 'x' , length of blue felt be 'y' and and number of quilts be z.

If Ivan has 15 yards of green felt and 12 yards of blue felt to make 3 quilts.

⇒15x+12y=3z15x+12y=3z

Now, divide both sides by 3 , we get

5x+4y=1z5x+4y=1z

<em><u>Therefore, we need 5 yards green felt and 4 yards blue felt for each quilt</u></em>.

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Answer:

Continuous

Step-by-step explanation:

The rate of flow of water down the river is referred to as its speed. Thus the speed changes with respect to the distance covered. Which implies that there is a direct relationship between the distance covered (in miles) by the water flow and time taken (in hours).

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3 years ago
(a) Find a vector parallel to the line of intersection of the planes −4x+2y−z=1 and 3x−2y+2z=1.
valentinak56 [21]

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-4<em>x</em> + 2<em>y</em> - <em>z</em> = 1   ==>   <em>z</em> = -4<em>x</em> + 2<em>y</em> - 1

3<em>x</em> - 2<em>y</em> + 2<em>z</em> = 1   ==>   <em>z</em> = (1 - 3<em>x</em> + 2<em>y</em>)/2

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==>   -5<em>x</em> + 2<em>y</em> = 3

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==>   <em>z</em> = -4<em>x</em> + 2 (3 + 5<em>x</em>)/2 - 1 = <em>x</em> + 2

So if we take <em>x</em> = <em>t</em>, the line of intersection is parameterized by

<em>r</em><em>(t)</em> = ⟨<em>t</em>, (3 + 5<em>t</em> )/2, 2 + <em>t</em>⟩

Just to not have to work with fractions, scale this by a factor of 2, so that

<em>r</em><em>(t)</em> = ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩

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<em>r</em><em>(t)</em> = ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩

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