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Likurg_2 [28]
3 years ago
14

2/5 of a number is 14. What's the number?

Mathematics
2 answers:
adelina 88 [10]3 years ago
3 0
<span>Let x be the number. By the given above, the relationship between the numbers and the newly-introduced variable is expressed as (2/5)(x) = 14. To determine the value of x, divide 14 by 2/5. This will give us the answer which is equal to 35. Hence, the answer to this item is 35. </span>
xxMikexx [17]3 years ago
3 0

35

<h3>Further explanation</h3>

<u>Given:</u>

\frac{2}{5} of a number is 14.

<u>Question:</u>

What is the number?

<u>The Process:</u>

From the information above, we make a suitable diagram as follows:

\boxed{\cdot}\boxed{\cdot} = 14

Two of the five parts are 14.

Then we will find out what is the number in five parts.

\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} = ?

  • \boxed{ \ 2 \ parts = 14 \ }
  • \boxed{ \ 5 \ parts = ? \ }

\boxed{ \ = \frac{5}{2} \times 14 \ }

We crossed out 2 and 14.

\boxed{ \ = 5 \times 7 \ }

Thus the number is \boxed{\boxed{ \ 35 \ }}

- - - - - - - - - -

Quick Steps:

\frac{2}{5} of a number is 14.

The number is \boxed{ \ = \frac{5}{2} \times 14 \ }

\boxed{ \ = 5 \times 7 \ }

\boxed{\boxed{ \ 35 \ }}

<h3>Learn more</h3>
  1. ³/₄ of a number is 27. What's the number? brainly.com/question/1026382
  2. How many students are wearing a shirt other than blue or white? brainly.com/question/895261
  3. How much money Elise have after paying for the stamp? brainly.com/question/3207704

Keywords: 2/5, a number, 14, what is the number, 35, parts, diagram, fraction

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Find the Jacobian ∂(x, y, z) ∂(u, v, w) for the indicated change of variables. If x = f(u, v, w), y = g(u, v, w), and z = h(u, v
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Answer:

The Jacobian ∂(x, y, z) ∂(u, v, w) for the indicated change of variables

= -3072uv

Step-by-step explanation:

<u>Step :-(i)</u>

Given  x = 1 6 (u + v)  …(i)

  Differentiating equation (i) partially with respective to 'u'

               \frac{∂x}{∂u} = 16(1)+16(0)=16

  Differentiating equation (i) partially with respective to 'v'

              \frac{∂x}{∂v} = 16(0)+16(1)=16

  Differentiating equation (i)  partially with respective to 'w'

               \frac{∂x}{∂w} = 0

Given  y = 1 6 (u − v) …(ii)

  Differentiating equation (ii) partially with respective to 'u'

               \frac{∂y}{∂u} = 16(1) - 16(0)=16

 Differentiating equation (ii) partially with respective to 'v'

               \frac{∂y}{∂v} = 16(0) - 16(1)= - 16

Differentiating equation (ii)  partially with respective to 'w'

               \frac{∂y}{∂w} = 0

Given   z = 6uvw   ..(iii)

Differentiating equation (iii) partially with respective to 'u'

               \frac{∂z}{∂u} = 6vw

Differentiating equation (iii) partially with respective to 'v'

               \frac{∂z}{∂v} =6 u (1)w=6uw

Differentiating equation (iii) partially with respective to 'w'

               \frac{∂z}{∂w} =6 uv(1)=6uv

<u>Step :-(ii)</u>

The Jacobian ∂(x, y, z)/ ∂(u, v, w) =

                                                         \left|\begin{array}{ccc}16&16&0\\16&-16&0\\6vw&6uw&6uv\end{array}\right|

   Determinant       16(-16×6uv-0)-16(16×6uv)+0(0) = - 1536uv-1536uv

                                                                                 = -3072uv

<u>Final answer</u>:-

The Jacobian ∂(x, y, z)/ ∂(u, v, w) = -3072uv

 

               

     

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