Question

this hanger is in balance. there are 2 labeled weights of 4 grams and 12 grams the 3 circles have the same weight. what is the weight of each circle.​

Answer 1

Answer:

8/3

Step-by-step explanation:

3x+4=12

find what x equals

subtract 4 on both sides (+4-4=0) (12+4=16)

then we have 3x=16

divide 16 by 3 = 8/3 (simplest form)

check-       3(8/3) + 4=12

                    ^=8+4=12

                          ^=12=12    so the answer is 8/3    i hoped this helped!

Answer 2

The hanger is in a balanced state then the weight of each circle is 8/3.

Given that,

This hanger is in balance. there are 2 labeled weights of 4 grams and 12 grams the 3 circles have the same weight.

We have to determine,

What is the weight of each circle?​

According to the question,

Let the weight of each circle be x.

This hanger is in balance. there are 2 labeled weights of 4 grams and 12 grams the 3 circles have the same weight.

The hanger is in the balanced state then the sum of all weight of the left-hand side is equal to the sum of all weight of the right-hand side.

Left hand side weight = x+ x + x+ 4 = 3x+4

Right hand side weight = 12

Then,

The hanger is in a balanced state, the weight of each circle is given by,

The weight of the left-hand side = the weight of the right-hand side

$\rm 3x+4 = 12\\\\3x =12-4\\\\3x = 8\\\\x = \dfrac{8}{3}$

The value of x is 8/3.

Hence, The weight of each circle is 8/3.

To know more about Circle click the link given below.

https://brainly.com/question/20213883