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The distance a spring will stretch varies directly with how much weight is attached to the spring. If a spring stretches 11 inches with 75 pounds attached, how far will it stretch with 65 pounds attached? Round to the nearest tenth of an inch.

Respuesta :

musiclover10045
find ratio:
 y = Kx
11 = K(75)
k = 11/75

now find new value:
y = (11/75)*65

y = 9.5 inches 

Answer:

The spring will stretch to 9.5 inches.

Step-by-step explanation:

The distance a spring will stretch varies directly with how much weight is attached to the spring.

A spring stretches 11 inches with 75 pounds.

Let it stretches to 'x' inches with 65 pounds weight.

We can solve this as :

[tex]\frac{11}{x} = \frac{75}{65}[/tex]

[tex]75x=715[/tex]

x=9.5

Therefore, the spring will stretch to 9.5 inches.

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