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3 years ago

Find the solution x/5-1/5=x/3+1/4

Mathematics

1 answer:

insens350 [35]3 years ago

8 0

Answer:

x = - 27/8

Step-by-step explanation:

¹²⁾x/5 - ¹²⁾1/5 = ²⁰⁾x/3 + ¹⁵⁾1/4

12x - 12 = 20x + 15

- 12 - 15 = 20x - 12x

- 27 = 8x

x = - 27/8

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Step-by-step explanation:

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<h3>~AnonymousHelper1807</h3>

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2 years ago

Y is directly proportional to square root of x<br> If y=56 when x=49 find,<br> y when x=81

STALIN [3.7K]

$\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}$

$\stackrel{\begin{array}{llll} \textit{"y" directly}\\ \textit{proportional to }\sqrt{x} \end{array}}{y = k\sqrt{x}}\qquad \textit{we know that} \begin{cases} y = 56\\ x = 49 \end{cases}\implies 56=k\sqrt{49} \\\\\\ 56=7k\implies \cfrac{56}{7}=k\implies 8=k~\hfill \boxed{y=8\sqrt{x}} \\\\\\ \textit{when x = 81, what is "y"?}\hfill y=8\sqrt{81}\implies y=8(9)\implies y=72$

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1 year ago