Question

Solve for n. Round to the nearest tenth, if necessary. 4 7/n=36/54 A. n = 1.3 B. n = 70.5 C. n = 0.7 D. n = 2538

Answer 1

`4(7)/(n)=(36)/(54)\\\\(4n+7)/(n)=(2)/(3)\ \ \ \ |cross\ multiply\\\\3(4n+7)=2n\\\\12n+21=2n\ \ \ \ |subtract\ 21\ and\ 2n\ from\ both\ sides\\\\10n=-21\ \ \ \ |divide\ both\ sides\ by\ 10\\\\\boxed{n=-2.1}`



`(47)/(n)=(36)/(54)\\\\(47)/(n)=(2)/(3)\ \ \ \ \ |cross\ multiply\\\\2n=3\cdot47\\\\2n=141\ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{n=70.5}`