15. angelas average for six math tests is 87. on her first four tests she had scores of 93, 87, 82, and 86…

15. angelas average for six math tests is 87. on her first four tests she had scores of 93, 87, 82, and 86. on her last test, she scored 4 points lower than she did on her fifth test. what scores did angela receive on her fifth and sixth tests? fifth test = 90, sixth test = 86 fifth test = 85, sixth test = 81 fifth test = 85, sixth test = 89 fifth test = 89, sixth test = 85

15. angelas average for six math tests is 87. on her first four tests she had scores of 93, 87, 82, and 86. on her last test, she scored 4 points lower than she did on her fifth test. what scores did angela receive on her fifth and sixth tests? fifth test = 90, sixth test = 86 fifth test = 85, sixth test = 81 fifth test = 85, sixth test = 89 fifth test = 89, sixth test = 85

Answer

Explanation:

Step1: Definir la media

La media de (n) números es (\frac{\text{suma de los números}}{n}). Sabemos que la media de 6 notas es 87, entonces la suma de las 6 notas es (87\times6 = 522).

Step2: Calcular la suma de las primeras 4 notas

Las primeras 4 notas son 93, 87, 82 y 86. La suma de estas notas es (93 + 87+82 + 86=348).

Step3: Definir la nota de la sexta prueba

Sea (x) la nota de la quinta prueba. Entonces la nota de la sexta prueba es (x - 4).

Step4: Hallar la ecuación para la suma de las 6 notas

La suma de las 6 notas es la suma de las primeras 4 notas más la quinta y la sexta nota. Entonces (348+x+(x - 4)=522).

Step5: Resolver la ecuación

Simplificamos la ecuación: (348+x+x - 4=522), (344 + 2x=522), (2x=522 - 344), (2x = 178), (x = 89).

Step6: Hallar la nota de la sexta prueba

La nota de la sexta prueba es (x-4), entonces (89 - 4=85).

Answer:

quinta prueba = 89, sexta prueba = 85