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tamaranim1 [39]
2 years ago
12

Solve 3x-2/4 - 2x-5/3 = 1+x/6

Mathematics
2 answers:
elena-14-01-66 [18.8K]2 years ago
5 0

Answer:

x = 3.8

hope it's helpful ❤❤❤

THANK YOU.

Ksenya-84 [330]2 years ago
3 0

Answer:

x = 12

Step-by-step explanation:

Given

\frac{3x-2}{4} - \frac{2x-5}{3} = \frac{1+x}{6}

Multiply through by 12 ( the LCM of 4, 3, 6 ) to clear the fractions

3(3x - 2) - 4(2x - 5) = 2(1 + x) ← distribute parenthesis

9x - 6 - 8x + 20 = 2 + 2x

x + 14 = 2 + 2x ( subtract x from both sides )

14 = 2 + x ( subtract 2 from both sides )

12 = x

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Here, we are required to determine after how many minutes will the two substances be at the same temperature.

The equation of when the two substances will be at the same temperature and the solution are as follows;

(a) The equation is 96.2 + 1.5(x) = 98.5 + 0.8(x).

(b) The solution is, x = 3.285minutes.

For substance A which is currently at 96.2° and rising at 1.5° each minute; It's temperature after x minutes is given as;

  • T(a) = 96.2 + 1.5(x)

For substance B which is currently at 98.5° and rising at 0.8° each minute; It's temperature after x minutes is given as;

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(a) For the two substances to be at the same temperature; T(a) must be equal to T(b).

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The equation is therefore;.

96.2 + 1.5(x) = 98.5 + 0.8(x)

(b) To determine the solution;

1.5x - 0.8x = 98.5 - 96.2

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x = 2.3/0.7

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Read more:

brainly.com/question/20248109

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