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Institución Educativa PNP “JUAN INGUNZA VALDIVIA” Nivel de Educación Área Curricular : SECUNDARIA : MATEMATICA Grado : MÓDULO DE APRENDIZAJE Nº 07. 1. TEMA: RESOLVEMOS SITUACIONES COTIDIANAS USANDO SISTEMAS DE ECUACIONES. 2. CONTENIDO O DESARROLLO DEL TEMA: 3. ACTIVIDADES DE APRENDIZAJES O DE EXTENSIÓN PARA SER DESARROLLADO POR LOS ESTUDIANTES. 1.- Se tiene un rectángulo cuyos lados se diferencian en 10m. Si se aumenta sus lados en un 20%. ¿En qué tanto por ciento aumentará el área? a) 21% b) 44% c) 69% d) 96% e) 98% 120%x Y = (x + 10) m 120%y A1= xy = 100% A2= 120%x . A2 = 100 x . 120 100 120 120%y Y 144% - 100% = 44% A2= 144 100 xy A2= 144%A1 RPTA: El porcentaje de aumento es de 44% 2.- En un examen tipo test, las preguntas correctas suman un punto y las incorrectas restan medio punto. En total hay 100 preguntas y no se admiten respuestas en blanco (hay que contestar todas). La nota de un alumno es 8.05 sobre 10. Calcular el número de preguntas que contestó correcta e incorrectamente. 8.05 sobre 100 = 80.5 sobre 100 N° de respuestas correctas = c N° de respuestas incorrectas = y x + y = 100 x – 0.5y = 80.5 x + y = 100 x – 0.5y= 80.5 _____________ 1.5y = 19.5 Y = 13 x + y = 100 x + 13 = 100 x = 100 - 13 x = 87 RPTA: N° de respuestas correctas = 87 N° de respuestas incorrectas = 13 a) c:85 i:15 b) c:86 i:14 c) c:87 i:13 d) c:88 i:12 e) c:89 i:11 3.- En un concierto benéfico se venden todas las entradas y se recauda ...
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