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shusha [124]
2 years ago
5

8 more than four times a number is the same as 2/3 of the quanity of 9 plus a number. Find the value of the number.

Mathematics
1 answer:
Bess [88]2 years ago
6 0

4x + 8 = \frac{2}{3}(9 + x)

12x + 24 = 2(9 + x)             <em>multiplied both sides by 3</em>

12x + 24 = 18 + 2x             <em>distributed 2 on the right side</em>

10x + 24 = 18                      <em>subtracted 2x from both sides</em>

         10x = -6                     <em>subtracted 24 from both sides</em>

         \frac{10x}{10} = \frac{-6}{10}           <em>divided both sides by 10</em>

           x = \frac{-3}{5}

Answer: \frac{-3}{5}



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The total surface area of the remaining solid is 48(4+✓3) centimeters square.

<h3>How to calculate the surface area?</h3>

Through a regular hexagonal prism whose base edge is 8 cm and the height is 12 cm, a hole in the shape of a right prism.

The formula for the total surface area will be:

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The volume is:

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The dimensions of the hexagonal prism are:

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The volume is

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Learn more about the hexagonal prism on:

brainly.com/question/27127032

#SPJ4

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