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tino4ka555 [31]
3 years ago
12

Write 0.414141414141 as a fraction?

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
4 0

Answer:

The fraction is 41/99.

Step-by-step explanation:

The steps are :

let \: x \: be \: fraction,

x = 0.414141.....

100x = 41.414141.....

100x - x = 41.414141.....  \:  -  \: 0.414141.....

99x = 41

x =  \frac{41}{99}

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The rays OM , ON , and OP in the figure, coincide at time t=0. At the same instant of time OM and OP rotate in the plane about p
dangina [55]

Note:

Note that the shape is a circle(s), as they all will rotate until they coincide. However, they are rotating towards each other

Step-by-step explanation:

One is rotating at 3°, while the other is rotating at 6°. We do not need to both with ON, for the question is not asking for that segment.

A circle has 360° To solve this, we must know that "the other" must complete a circle and overtake the other one.

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360/3 = 120

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Determine which of these quantities DOES combine to make 0. A) Buying 24 pencils and giving 22 pencils away B) Losing $20.00 and
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Read 2 more answers
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
Luden [163]

Answer:

x = -10

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   36 - 4.5x + 36 = 102 - 7.5x - 60
  2. Combine like terms:                   -4.5x + 72 = -7.5x + 42
  3. Add 7.5x on both sides:             3x + 72 = 42
  4. Subtract 72 on both sides:        3x = -30
  5. Divide 3 on both sides:              x = -10

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
  2. Simplify:                               4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
  3. Multiply:                               4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
  4. Add:                                     4.5(18) + 36 = 102 - 2.5(-6)
  5. Multiply:                               81 + 36 = 102 + 15
  6. Add:                                     117 = 117

Here we see that 117 does indeed equal to 117.

∴ x = -10 is a solution of the equation.

7 0
3 years ago
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