Question

Determine the quantity needed to replace the question mark to make the scale balance The weight times the distance on both sides of the fulcrum (the triangle) must be the same to make the scale balance

6 kg

3m
-
600 cm

The quantity needed to replace the question mark to make the scale balance is ? grams

work please, I wanna understand how to do it. thank you:)​

Answer 1

Answer:

3kg = 3000 gm

Step-by-step explanation:

we use this formula

m1x (distance of m1 )= m2 x( distance of m2)

* the distance far from the triangle*

m1 =6 kg

d1 = 3m

m2 = ê (kg )

d2 = 600 cm = 6 m

m1 d1 = m2 d2

6 x 3 = ê 6

ê = 3 kg

mass = 3kg = 3000 gram

#

Answer 2

To make the scale balance, the weight must be added is 3000g.

What is a balancing equation?

"A balanced equation is an equation where both sides are equal to the same amount. The answer to the expression on the left side of the equals sign (=) should be equal to the value on the right side of the equals sign".

For the given situation,

From the diagram shown, the distance on both sides of the fulcrum (the triangle) must be the same to make the scale balance.

We know that

1 kg = 1000 g

1 m = 100 cm

Let the unknown quantity be 'x'

To write a balanced equation, units should be the same on both sides.

6 kg = 6000 g

3 m = 300 cm.

The equation is represented as

$6000$ × $300 = x$ × $600$

⇒ $x = \frac{(6000)(300)}{600}$

⇒ $x=3000$

Hence we can conclude that to make the scale balance, the weight must be added is 3000g.

Learn more about the balance equation here

https://brainly.com/question/13224617

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