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Wittaler [7]
3 years ago
6

Alan sells custom made kites online. He makes a flat profit of $20 per kite, but he pays $20 per day for his website. Write an i

nequality that gives the number of kites Alan needs to sell to make at least $900 per week?
Mathematics
2 answers:
klemol [59]3 years ago
8 0

Profit on each kite that Allan sells= $ 20 per kite

Amount paid by Allan for his Website = $ 20 per day

Let number of kites sold by Allan per day = x

In 7 days , number of kites sold = 7 x

Amount paid by Allan for his Website in 7 seven days = 20 × 7=$140

We have to make an equality describing number of kites Alan needs to sell to make at least $900 per week.

The Inequality is

→20×7 x -140 ≥ 900

→ 140 x ≥ 900 + 140

→ 140 x ≥1040

→ 7 x ≥ 52 (Minimum number of kites that allan should sell in a week)

Dividing both sides by 140,we get

→ x ≥ \frac{1040}{140}=7.43<em>=</em> 8 kites in a day(approx)




Strike441 [17]3 years ago
3 0
20x+20y=900
I hope that helps. You'll have to isolate each variable. X= kite, y=website.
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4 years ago
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vladimir1956 [14]
tan(4x- \pi )= \frac{sin(4x- \pi )}{cos(4x- \pi )}

The asymptotes are where the graph is undefined. Since: tan(x) =sin(x)/cos(x)
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cos(4x-π) = 0 when the inside is -π/2 , π/2 , 3π/2

4x - π = π/2
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4x - π = -π/2
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4 0
4 years ago
The diagram shows 3 identical circles inside a rectangle.
Ilya [14]

Answer:

11700 mm²

Step-by-step explanation:

A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.

The horizontal distance of the rectangle = r + r + r + r = 4r

The vertical distance = r + h + r = 2r + h

Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.

Using Pythagoras:

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h² + r² = 4r²

h² = 3r²

h = √3r²

h = r√3

Vertical distance = 2r + h = 2r + r√3

Area of rectangle = vertical distance * horizontal distance

Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)

Substituting:

Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²

Area = 11700 mm² to 3 s.f

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3 years ago
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For the 2nd question,
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