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sp2606 [1]
3 years ago
14

Pls help I’ll brainlest solve it like this

Mathematics
2 answers:
sergey [27]3 years ago
7 0

\frac{3}{5} t = 6

t = 6 \div  \frac{3}{5}

t = 6 \times  \frac{5}{3}

t = 2 \times 5

t = 10

____________________________

\frac{1}{4} a =  \frac{14}{15}

a =  \frac{14}{15}  \div  \frac{1}{4}

a =  \frac{14}{15}  \times 4

a =  \frac{56}{15}

AlexFokin [52]3 years ago
3 0

Answer:

t = 10

t = 10

a = 16/15

Step-by-step explanation:

4/5t = 8

t = (8 *5)/4

= 10

3/5t =6

t = (6*5)/3

t = 10

1/4a = 4/15

a = (4/15)/(1/4)

(4/15)*(4/1) = 16/15

a = 16/15

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Answer:

El número de personas que consumen dos productos es 30.

Step-by-step explanation:

El primer paso para resolver el problema es realizar los gráficos de los eventos (agregaré como archivo adjunto el gráfico del ejercicio).

En el gráfico podemos ver 7 regiones :

A : Personas que consumen sólo albaricoque.

B : Personas que consumen sólo banana.

C : Personas que consumen sólo coco.

D : Personas que consumen sólo albaricoque y coco.

E : Personas que consumen las tres frutas (albaricoque, banana y coco).

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G : Personas que consumen sólo albaricoque y banana.

Ahora, debemos escribir las ecuaciones que nos brinda el ejercicio :

La encuesta se realizó a 120 personas y se sabe que todas las personas consumen un producto ⇒

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''El número de personas que consumen sólo albaricoque y coco es la mitad de las que consumen sólo albaricoque''  ⇒

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''El número de personas que consumen sólo banana es el doble de las personas que consumen sólo albaricoque y banana más sólo banana y coco'' ⇒

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A+B+C+D+E+F+G=120\\D=\frac{A}{2}\\B=2.(G+F)\\C+E=30

El número de personas que consumen dos productos es :

D+F+G

Entonces, resolvemos escribiendo la primera ecuación conmutando los términos :

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De (II) se obtiene :

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Usamos (VI), (III) y (IV) en (V) ⇒

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D+F+G=30

Que es el número de personas que consumen dos productos.

Es muy conveniente seguir el desarrollo del ejercicio mirando el gráfico que adjunto.

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