Step 1: Given
Step 2: Distributive Property
Step 3: Addition Property of Equality
Step 4: Division Property of Equality
Step-by-step explanation:
We need to match the reason with the correct step in the equation.
Equation:
Given:
![2x = -4(x-3)](https://tex.z-dn.net/?f=2x%20%3D%20-4%28x-3%29)
Applying Distributive property a(b+c)=ab+ac
![2x=-4x+12](https://tex.z-dn.net/?f=2x%3D-4x%2B12)
Now, Applying addition property of equality:
Adding +4x on both sides
![2x+4x=-4x+12+4x\\6x=12](https://tex.z-dn.net/?f=2x%2B4x%3D-4x%2B12%2B4x%5C%5C6x%3D12)
Now, Applying Division property of Equality:
Divide both sides by 6:
![\frac{6x}{6}=\frac{12}{6}\\x=2](https://tex.z-dn.net/?f=%5Cfrac%7B6x%7D%7B6%7D%3D%5Cfrac%7B12%7D%7B6%7D%5C%5Cx%3D2)
So, Answer will be:
Step 1: Given
Step 2: Distributive Property
Step 3: Addition Property of Equality
Step 4: Division Property of Equality
Keywords: Solving Equations
Learn more about Solving Equations at:
#learnwithBrainly
Answer:
I think it is 20cm
Step-by-step explanation:
divide 80 by 4 =20 cm
Answer:
cups of pineapple juice .
Step-by-step explanation:
Equation of direct proportion between x and y:
![\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx_1%7D%7By_1%7D%3D%5Cdfrac%7Bx_2%7D%7By_2%7D)
As per given,
Let x = quantity of pineapple juice and y = quantity of orange juice.
,
, ![y_2=3](https://tex.z-dn.net/?f=y_2%3D3)
Put these values in an equation we get
![\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac13%7D%7B%5Cdfrac34%7D%3D%5Cdfrac%7Bx_2%7D%7B3%7D%5C%5C%5C%5C%5CRightarrow%5C%20%5Cdfrac%7B4%7D%7B9%7D%3D%5Cdfrac%7Bx_2%7D%7B3%7D%5C%5C%5C%5C%5CRightarrow%5C%20x_2%3D3%5Ctimes%5Cdfrac%7B4%7D%7B9%7D%3D%5Cdfrac%7B4%7D%7B3%7D%5C%5C%5C%5C%5CRightarrow%5C%20x_2%3D1%5Cdfrac13)
Hence, he needs
cups of pineapple juice .