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3 years ago

Fern knitted 20 scarves over 5 nights. After 8 nights of knitting, how many scarves would fern have made in total.

Mathematics

1 answer:

Studentka2010 [4]3 years ago

4 0

Answer:

Fern will knit 32 scarves in 8 nights.

Step-by-step explanation:

Number of scarves knitted by Fern in 5 night = 20

Relation between number of scarves knitted and number of nights is proportional,

Therefore, Number of scarves knitted (s) ∝ Number of nights spent to knit the scarves (n)

s ∝ n

s = kn

k = $\frac{s}{n}$

Here, k = proportionality constant

For s = 20 and n = 5,

k = $\frac{20}{5}$

k = 4 scarves per night

For 8 nights, by using the same proportionality rule,

k = $\frac{s}{8}$

4 = $\frac{s}{8}$

s = 32 scarves

Therefore, Fern will knit 32 scarves in 8 nights.

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Fynjy0 [20]

Here
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Step-by-step explanation:

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3 years ago

a norman window has the shape of a rectangle surmounted by a semicircle. if the perimeter of the window is 25 feet, express the

sp2606 [1]

The area of the window is $\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}$

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Let 'x' be the width of the window.

Then this width corresponds to the diameter of the semicircle.

That is, radius of the semicircle = x/2

Now given the perimeter of the whole window = 25 ft

This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.

Perimeter of the semicircle = $\frac{2\pi r}{2} = \frac{\pi x}{2}$ , where r is the radius of the semicircle.

Now let 'y' be the length of the window.

Then sum of three sides of the window = 2y + x

So 2y + x + $\frac{\pi x}{2}$ = 25

Therefore, $y =( 25 - x - \frac{\pi x}{2} ) / 2$

Area of the window = Area of the semicircle + Area of the rectangle =

$\frac{\pi x^2}{8} +xy = \frac{\pi x^2}{8} + x( 25 - x - \frac{\pi x}{2} ) / 2\\ = \frac{\pi x^2}{8} + (25x - x^2 - \frac{\pi x^2}{2} ) / 2$

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Learn more about area of circle and rectangle at brainly.com/question/4694841

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2 years ago

PLEASE HELP!! <br> I need help on problems #5, #6, #9, #10<br> Picture attached <br> Thank you!

Romashka-Z-Leto [24]

Answer:

5. TS ≅ ML

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Step-by-step explanation:

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5. TS are the third and second letter in RSTUV. The third and second letters in KLMNO are ML. TS ≅ ML

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Tanya [424]

Answer:

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