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Ber [7]
3 years ago
12

Parte de Cálculo: En cada una de las siguientes proporciones, utilizar regla de tres para determinar el valor desconocido

Mathematics
1 answer:
sineoko [7]3 years ago
5 0

Answer:

<u><em>x = 4</em></u>

<u><em>x = 3</em></u>

<em><u>x = 10</u></em>

<u><em>x = 3</em></u>

<em><u>x = 16</u></em>

<em><u>x = 35</u></em>

Step-by-step explanation:

\frac{x}{5} :\frac{8}{10}

x · 10 = 5 · 8

10x = 40

10x ÷ 10 = 40 ÷ 10

<u><em>x = 4</em></u>

\frac{8}{12} :\frac{2}{x}

x · 8 = 12 · 2

8x = 24

8x ÷ 8 = 24 ÷ 8

<u><em>x = 3</em></u>

\frac{15}{3} :\frac{x}{2}

x · 3 = 15 · 2

3x = 30

3x ÷ 3 = 30 ÷ 3

<em><u>x = 10</u></em>

\frac{x}{6}:\frac{6}{12}

x · 12 = 6 · 6

12x = 36

12x ÷ 12 = 36 ÷ 12

<u><em>x = 3</em></u>

\frac{x}{8} :\frac{4}{2}

x · 2 = 8 · 4

2x = 32

2x ÷ 2 = 32 ÷ 2

<em><u>x = 16</u></em>

\frac{10}{2} :\frac{x}{7}

x · 2 = 10 · 7

2x = 70

2x ÷ 2 = 70 ÷ 2

<em><u>x = 35</u></em>

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Expand the following:<br> a) x(x + 2)<br> b) x(2x - 5)<br> c) 2x(3x + 4)<br> d) 6x(x - 2)
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Answer:

<h2>a. \:  {x}^{2}  + 2</h2>

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solution,

a. \: x(x + 2) \\  \:  \:  = x \times x + 2 \times x \\  \:  \:  =  {x}^{2}  + 2x

b . \: x(2x - 5) \\  \:  = x \times 2x - x \times 5 \\  \:  \:  = 2 {x}^{2}  - 5x

c. \: 2x(3x + 4) \\  \:  = 2x \times 3x + 2x \times 4 \\  \:  \:  = 6 {x}^{2}  + 8x

d. \: 6x(x - 2) \\  \:  \:  = 6x \times x  - 6x \times 2 \\  \:  \:  = 6 {x}^{2}  - 12x

<h2> </h2><h2 />

Hope this helps...

Good luck on your assignment..

4 0
3 years ago
Suppose that a water fountain produces a stream of water that follows the shape of a parabola. Assigning the origin of a coordin
irina1246 [14]
Vertex = (6, 5)
axis of symmetry is line x = 6
A third point in the parabola is (12, 0)

equation using the vertex is y = -a(x - 6)^2 + 5 = -a(x^2 - 12x + 36) + 5 = -ax^2 + 12ax - 36a + 5
since the parabola passes through point (0, 0)
i.e. -36a + 5 = 0
a = 5/36 = 0.139

Therefore, the equation is y = -0.139x^2 + 12(0.139)x = -0.139x^2 + 1.667x
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4 years ago
Need help with this please
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Answer:

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Step-by-step explanation:

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Aquelyn’s earning m are a function of the number of lawns n she mows at a rate of $12 per lawn
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Answer:

m = 12n

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M is the amount that she would earn at the end of the day. She charges 12 dollars per lawn and then you multiply that by n which is going to be how many lawns she mowed.

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