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trapecia [35]
3 years ago
14

-5(x – 3) = x + 27 What’s the answer to this

Mathematics
1 answer:
Leona [35]3 years ago
3 0

-5(x – 3) = x + 27

multiply the bracket by -5

(-5)(x)=-5x

(-5)(-3)=15

-5x+15=x+27

Move +15 to the other side. Sign changes from +15 to -15.

-5x+15-15=x+27-15

-5x=x+27-15

-5x=x+12

Move +x to the other side. Sign changes from +x to -x.

-5x-x=x-x+12

-6x=12

Divide both sides by -6

-6x/-6=12/-6

Answer: x=-2

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3 years ago
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lara31 [8.8K]

Answer: 525 cycles per second.

Step-by-step explanation:

The equation for inverse variation between x and y is given by :-

x_1y_1=x_2y_2       (1)

Given : The length of a violin string varies inversely with the frequency of its vibrations.

A violin string 14 inches long vibrates at a frequency of 450 cycles per second.

Let x =  length of a violin

y=  frequency of its vibrations

To find: The frequency of a 12 inch violin string.

Put x_1=14,\ x_2=12\\y_1=450,\ y_2=y in equation (1) , we get

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Divide both sides by 12 , we get

y=\dfrac{(14)(450)}{12}=525

Hence, the frequency of a 12 inch violin string = 525 cycles per second.

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