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olya-2409 [2.1K]
3 years ago
12

Landen spent L hours at the beach last weekend. Matéo spent 15% fewer hours at the beach than Landen did

Mathematics
2 answers:
KatRina [158]3 years ago
6 0

Answer:

b and e

Step-by-step explanation:

khan

fenix001 [56]3 years ago
4 0

Answer: B, D, and E

0.85L

or

L-0.15L

or

L(1-0.15)

or

L - \frac{15}{100}L

L - \frac{3}{20}L

Step-by-step explanation:

L is the number of hours Landen spent at the beach. Mateo spent 15% less time. This means he spent 85% of it. So 0.85 times L. We can also calculate it by subtracting the difference between the two kids. - 15%. 15% is 0.15L or \frac{15}{100}L. We subtract by L-0.15L or as L - \frac{15}{100}L. This fraction can simplify to L - \frac{3}{20}L

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Step-by-step explanation:

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1. De una encuesta realizada a 120 personas sobre el consumo de albaricoque, banana y coco se obtuvieron el siguiente resultado.
Pachacha [2.7K]

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).

F : Personas que consumen sólo banana y coco.

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 ⇒

A+B+C+D+E+F+G=120 (I)

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

D=\frac{A}{2} (II)

''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'' ⇒

B=2.(G+F) (III)

Finalmente : ''El número de personas que consumen sólo coco más los que consumen los tres productos es 30''  ⇒

C+E=30 (IV)

Finalmente obtenemos el siguiente sistema de ecuaciones :

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 :

A+B+C+E+D+F+G=120 (V)

De (II) se obtiene :

2D=A (VI)

Usamos (VI), (III) y (IV) en (V) ⇒

2D+2(G+F)+30+D+F+G=120  ⇒

2D+2G+2F+30+D+F+G=120

3D+3F+3G=90

Dividiendo esta última ecuación por ''3'' obtenemos :

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.

8 0
3 years ago
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