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50 POINTS!! Please help tysm :) image is attached (sorry about the quality); find the value of x. the answer key says x=10, but I'm not sure how to get there.

please don't put an unrelated answer or just repeat the answer for the points :) I would like a step by step explanation ​

50 POINTS!! Please help tysm :) image is attached (sorry about the quality); find-example-1
User Kynrek
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4.7k points

1 Answer

6 votes

Answer:


\: x = 10

Explanation:

prefer the attachment

according to the question


\displaystyle \: (6)/(17.5-x) = (8 + 6)/(17.5)

simplify addition:


\displaystyle \: (6)/(17.5-x) = (14)/(17.5 )

simplify fraction;


\displaystyle \: (6)/(17.5 - x) = 0.8

cross multiplication:


\displaystyle 6 = 14 - 0.8x

cancel 14 from both sides:


\displaystyle - 8= - 0.8x

divide both sides by -0.8:


\therefore \: x = 10

50 POINTS!! Please help tysm :) image is attached (sorry about the quality); find-example-1
User Mark Swardstrom
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4.7k points