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sertanlavr [38]
3 years ago
5

A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 2/

3 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x? A. x/3 B. x/2 C. 2x/3 D. 3x/2 E. 2x
Mathematics
1 answer:
Stolb23 [73]3 years ago
5 0

Answer:

y=\frac{x}{2}

Step-by-step explanation:

Let total x black and y brown shoes are sold in a week

So total number of shoes sold in a week is = x+y

It is given that \frac{2}{3} of all shoes sold are black

So \frac{2}{3}(x+y)=x

y=\frac{x}{2}

So the number of brown shoes sold in a week in terms of black shoes are x/2

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A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he
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Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

\theta = \frac{360\°}{16}=22.5\°

Where all sectors have equal area.

Now, the area of the whole circle is 12.25 \pi \ cm^{2}, if we use the formula of its area, we'll find the radius of the circle

A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx  3.5

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43

Therefore, the height is 3.43 centimeters, approximately.

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F(x)= 3x-3, g(x) =5x-9 find (f-g)(x)
marusya05 [52]

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Step-by-step explanation:

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Which equation matches the graph shown?
Kitty [74]

Answer:

f(x) = -(x+2)(x-1)

Step-by-step explanation:

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