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seropon [69]
2 years ago
12

Solve for X 6(x+5 = 5x+3

Mathematics
1 answer:
Brrunno [24]2 years ago
8 0

Step-by-step explanation:

6(x+5=5x+3

6×x+6×5=5x+3

6x+30=5x+3

Collect like terms

6x-5x=3-30

1x/1=27

x=27

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Three numbers are in the ratio 2 : 3 : 4 and their sum is 54. If 'x' is the common factor, then the value of 'x' is ________.
Neporo4naja [7]

Answer:

<h3><u>Given</u> </h3>
  • ↦ Three numbers are in the ratio 2 : 3 : 4
  • ↦ The sum of number is 54.
  • ↦ 'x' is the common factor

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3><u>To</u><u> Find</u> </h3>
  • ↦ Value of 'x'

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3><u>Solution</u> </h3>

Let the numbers,

  • ↦ 2x
  • ↦ 3x
  • ↦ 4x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

According to the question,

: \implies\sf{2x + 3x + 4x = 54}

: \implies\sf{9x = 54}

: \implies\sf{x =  \dfrac{54}{9} }

: \implies\sf {x =  \cancel\dfrac{54}{9}}

: \implies\sf{x = 6}

{\dag{\underline{\boxed{\sf{\purple{x = 6}}}}}}

<u>Hence, The value of x is 6.</u>

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Thus numbers are,

  • ↦ 2 × 6 = 12
  • ↦ 3 × 6 = 18
  • ↦ 4 × 6 = 24

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3><u>Verification</u> </h3>

: \implies\sf{2x + 3x + 4x = 54}

  • Substituting the numbers

: \implies\sf{ 12+ 18 + 24 = 54}

: \implies\sf{54= 54}

{\dag{\underline{\boxed{\sf{\purple{LHS=RHS }}}}}}

Hence Proved!!

3 0
2 years ago
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  A = 30 units²

The "height" of the prism is 6 units, so the volume is
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  V = 180 units³

The appropriate choice is
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5 0
3 years ago
What is the shape of the function y = 16x + x2? A) U-shaped B) V-shaped C) neither D) both
a_sh-v [17]
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5 0
3 years ago
Given the arithmetic sequence an= 2 - 3(n - 1), what is the domain for n?
wel
Generally we use n as a counter and begin it with 1:  the first term is obtained when n = 1.  Thus, n must be a positive integer, 1 or greater:  {1, 2, 3, ... }.

5 0
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Choose 3 values that would make thi inequalitie true 28+x&gt;42
Y_Kistochka [10]

9514 1404 393

Answer:

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Step-by-step explanation:

Subtracting 28 from both sides tells you the range of values you need to be looking at.

  28 + x > 42

  x > 14

Any values more than 14 will make the inequality true. Three of them are ...

  14.01, 493, 87

4 0
2 years ago
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