osekuclinton
osekuclinton osekuclinton
  • 21-02-2021
  • Mathematics
contestada

kwasi thought of a number, multiplied it by7/2 and added 16 to the results.if the final answer was 30.what number did he think of​

Respuesta :

micky2255
micky2255 micky2255
  • 21-03-2021

Answer:

4

Step-by-step explanation:

  1. represent the number he thought of with x

[tex] \frac{7}{2} x + 16 = 30[/tex]

  1. multiply through with the LCM which is 2
  2. [tex]2 \times \frac{7}{2}x + 16 \times 2 = 30 \times 2 [/tex]
  3. [tex]7x + 32 = 60 [/tex]
  4. [tex]7x = 60 - 32[/tex]
  5. [tex]7x = 28[/tex]
  6. [tex] \frac{7x}{7} = \frac{28}{7} [/tex]
  7. [tex]x = 4[/tex]
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