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LuckyWell [14K]
2 years ago
13

A number is 2/3 of another number. If the sum of the two numbers is 30, find the smaller number

Mathematics
2 answers:
pogonyaev2 years ago
6 0

12

the other number is 18

本题已由中国数学会官方解答(现有会员:3人)

Tema [17]2 years ago
5 0

Answer:

4

Step-by-step explanation:

4 is 2/3 of 6

if we multiply 6 by 4 = 24

24 + 6 =30

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25 times what is fifty?
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2

Step-by-step explanation:

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3 years ago
1. Complete the proof by filling in the missing reasons for six steps.
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\large\underline{\sf{Solution-}}

<u>Let us assume that:</u>

\sf \longmapsto x =  \sqrt{6 +  \sqrt{6 +  \sqrt{6 + ... \infty } } }

We can also write it as:

\sf \longmapsto x =  \sqrt{6 +  x }

Squaring both sides, we get:

\sf \longmapsto  {x}^{2}  =6 +  x

\sf \longmapsto  {x}^{2} - x - 6  =0

By splitting the middle term:

\sf \longmapsto  {x}^{2} - 3x + 2x - 6  =0

\sf \longmapsto x(x - 3) + 2(x - 3 ) =0

\sf \longmapsto (x+ 2)(x - 3 ) =0

<u>Therefore:</u>

\longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}

\sf \longmapsto x =  - 2,3

<u>But x cannot be negative. </u>

\sf \longmapsto x = 3

Therefore, the value of the expression is 3.

\large\underline{\sf{Verification-}}

Given:

\sf\longmapsto x=3

We can also write it as:

\sf\longmapsto x = \sqrt{9}

\sf\longmapsto x = \sqrt{6+3}

\sf\longmapsto x = \sqrt{6 + \sqrt{9}}

\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}

\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}

\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}

This pattern will continue.

\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}

7 0
3 years ago
Six students are working to simplify the expression shown. Drag each student's answer to a box to show whether it is fully simpl
Kay [80]

The arrows show the appropriate destination for your dragging.

_____

Combining like terms in the given expression makes it simplify to ...

  (2x -18x) +(14y) +(9 -10) = -16x +14y -1

We are to compare this expression with the offered expressions to see if they simplify to the same thing. We'll examine those left-to-right starting with the top row:

  • 2x -18x +14y -19 = -16x +14y -19 . . . not the same
  • -2xy -1 . . . not the same
  • 16x +14y -1 . . . not the same
  • 9 -16x +14y -10 = -16x +14y -1 . . . equivalent
  • -16x +14y -1 . . . equivalent and simplified
  • 2x -18x +14y -1 = -16x +14y -1 . . . equivalent

3 0
3 years ago
Read 2 more answers
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