Three consecutive even numbers have a sum where one half of that sum is between 90 and 105.
a)Write an inequality to find the three numbers. Let n represent the smallest even number.
b)Solve the inequality

Question

11-07-2016
Mathematics

contestada

Three consecutive even numbers have a sum where one half of that sum is between 90 and 105.
a)Write an inequality to find the three numbers. Let n represent the smallest even number.
b)Solve the inequality

Respuesta :

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dalendrk dalendrk · Answer 1 · 2016-07-17T13:18:24+02:00

[tex]n;\ n+2;\ n+4-three\ consecutive\ even\ numbers\\\\90 \ \textless \ \dfrac{1}{2}(n+n+2+n+4) \ \textless \ 105\\\\90 \ \textless \ \dfrac{1}{2}(3n+6) \ \textless \ 105\ \ \ |multiply\ both\ sides\ by\ 2\\\\180 \ \textless \ 3n+6 \ \textless \ 210\ \ \ |subtract\ 6\ from\ both\ sides\\\\174 \ \textless \ 3n \ \textless \ 204\ \ \ |divide\ both\ sides\ by\ 3\\\\58 \ \textless \ n \ \textless \ 68\\\\Answer:\\60;\ 62;\ 64\ or\ 62;\ 64;\ 66;\ or\ 64;\ 66;\ 68\ or\ 66;\ 68;\ 70.[/tex]

Three consecutive even numbers have a sum where one half of that sum is between 90 and 105. a)Write an inequality to find the three numbers. Let n represent the smallest even number. b)Solve the inequality

Respuesta :

Otras preguntas

Three consecutive even numbers have a sum where one half of that sum is between 90 and 105.
a)Write an inequality to find the three numbers. Let n represent the smallest even number.
b)Solve the inequality