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Lisa [10]
3 years ago
8

Solve One-Step EquationsSolve the equation.x/2= 5 for x​

Mathematics
2 answers:
kondaur [170]3 years ago
5 0

Answer:x=10

Step-by-step explanation:

multiply both sides by 2, to get x=10

masha68 [24]3 years ago
4 0

Answer:

x = 10

Step-by-step explanation:

x/2 = 5

x = 5 / 1/2

x = 5 * 2

x = 10

10/2 = 5

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Find a positive number for which the sum of it and its reciprocal is the smallest​ (least) possible. Let x be the number and let
Allisa [31]

Answer:

S(x) = x + \frac{1}{x} --- Objective function

Interval = \{x:x=1\}

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

x + \frac{1}{x}

Hence, the objective function is:

S(x) = x + \frac{1}{x}

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

S'(x) = 1 - \frac{1}{x^2}

Equate S'(x) to 0 in order to solve for x

0 = 1 - \frac{1}{x^2}

Subtract 1 from both sides

0 -1 = 1 -1 - \frac{1}{x^2}

-1 = - \frac{1}{x^2}

Multiply both sides by -1

1 = \frac{1}{x^2}

Cross Multiply

x^2 * 1 = 1

x^2  = 1

Take positive square root of both sides because x is positive

\sqrt{x^2} = \sqrt{1

x = 1

Representing x using interval notation, we have

Interval = \{x:x=1\}

To get the smallest sum, we substitute 1 for x in S(x) = x + \frac{1}{x}

S(1) = 1 + \frac{1}{1}

S(1) = 1 + 1

S(1) = 2

<em>Hence, the smallest sum is 2</em>

3 0
3 years ago
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Aleks [24]

Answer:

Step-by-step explanation:

7 0
3 years ago
It takes a day to build 2/3 of a model airplane gow many model airplanes can be built in 6 days​
Sedaia [141]

Answer:

4 airplanes

Step-by-step explanation:

1 = 2/3

6 = x

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5 0
2 years ago
Read 2 more answers
PLEASE HELP!!! GEOMETRY QUESTION
maria [59]

Answer:

Step-by-step explanation:

2y + 100 +6x-10=180(in a cyclic quadrilateral opposite angles are supplementary)

2y+6x+90 =180

2y + 6x = 90

dividing each side by 2

y+3x = 45   ........1

7x+1+2y+74 =180 ( same reason)

7x + 2y =105  ............2

multiplying 1 by 2

2y +6x =90........ 3

subtracting 3 from 2

7x+2y-2y-6x = 105-90

x = 15

substituting x=15 in 1

y+45 =45

y= 0

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7 0
2 years ago
0.75 recurring as a fraction<br> with 7 and 5 recurring
mariarad [96]

   100x = 75.757575...
  -      x =   0.757575...
 -----------------------------
     99x = 75

x = 75/99

x = 25/33

Answer: 0.757575... = 25/33
6 0
3 years ago
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