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A triangular prism with triangular base and height of 3 is shown. The length of the longest side is 6 and the length of the shortest side is 2. The height of the prism is also 3. Find the equation of the triangular prism and solve for q.

Ask AI: 1/3(6q–2)=4q–7/3q–1/2 solve for q

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Question: 1/3(6q–2)=4q–7/3q–1/2 solve for q

Asked by ela

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First, let's eliminate the fractions and distribute the 1/3 to both terms within the parentheses: (1/3)*(6q - 2) = 3*(4q - 7/3q - 1/2) 2q - 2/3 = 12q - 7 - 3/2 Now, let's clear the fractions by finding the least common denominator (LCD) which is 6: 6(2q - 2/3) = 6(12q - 7 - 3/2) Now, distribute the 6 on both sides of the equation: 12q - 4 = 72q - 42 - 9 Next, let's move all the terms with the variable 'q' to the right side and constant terms to the left side: -4 + 42 + 9 = 72q - 12q Combine the like terms: 47 = 60q Now, to find the value of 'q', simply divide both sides by 60: q = 47 / 60 Since both 47 and 60 are prime, we cannot simplify this fraction further: q = 47/60

Answered by gpt-4

April 24, 2023, 1:08 p.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user ela's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Monday, April 24, 2023

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