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Tatiana [17]
3 years ago
8

Solve for x: 4(3x - 5) = 7(2x + 3).

Mathematics
2 answers:
Archy [21]3 years ago
6 0
Distribute the four and seven to get
12x-20=14x+21
Then subtract the 12x and both side and get
-20=2x+21
The subtract 21 on both sides to get
-41=2x
Then divide both sides by 2 and get
X=-41/2
And as a decimal it is -20.5
Charra [1.4K]3 years ago
4 0
X= -41/2

12x-20=14x+21
12x-20+20=14x+21+20
12x=14x+41
12x-14x=14x+41-14x
-2x=41
-2x/-2=41/-2
x=-41/2
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Which of the following represents "the difference between ten and a number is the sum of eight and a number"? 10 - N(8 + N) 8 -
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Answer:

\Huge \boxed{10-N=8+N}

Step-by-step explanation:

<h2>Algebraic expressions</h2>

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Hope this helps!

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Hyun Woo is riding a ferris wheel. H t H(t) models his height (in m m) above the ground, t t seconds after the ride starts. Here
worty [1.4K]

Answer:

<u></u>

  • <u>53 seconds.</u>

Explanation:

The text and the model are garbled.

This is the question amended:

<em />

<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>

<em>H(t) = -10 cos(2π/150 t)+10</em>

<em />

<em>When does Hyun Woo first reach a height of 16 m?</em>

<em />

<h2>Solution</h2>

<em />

When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:

  • <em>16 = -10 cos(2π/150 t)+10</em>

<em />

Then you must find the lowest positive value of t that is a solution of the equation.

Solve the equation:

  • <em>16 = -10 cos(2π/150 t)+10</em>

  • 10cos(2π/150 t) = - 6

  • cos(2π/150t) = -0.6

  • 2π/150t = arccos(-0.6)

  • 2π/150t = 2.214297

  • t = 52.86s ≈ 53 s ← answer
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3 years ago
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