For this case we have the following expression:
![4.5 (8-x) + 36 = 102-2.5 (3x + 24)](https://tex.z-dn.net/?f=4.5%20%288-x%29%20%2B%2036%20%3D%20102-2.5%20%283x%20%2B%2024%29)
Applying distributive property to the terms within parentheses we have:
![36-4.5x + 36 = 102-7.5x-60](https://tex.z-dn.net/?f=36-4.5x%20%2B%2036%20%3D%20102-7.5x-60)
We add similar terms on both sides of equality considering that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.
![72-4.5x = 42-7.5x](https://tex.z-dn.net/?f=72-4.5x%20%3D%2042-7.5x)
We add 7.5x to both sides of equality:
![72 + 3x = 42](https://tex.z-dn.net/?f=72%20%2B%203x%20%3D%2042)
We subtract 72 from both sides of equality:
![3x = -30](https://tex.z-dn.net/?f=3x%20%3D%20-30)
We divide between 3 on both sides of equality
![x = -10](https://tex.z-dn.net/?f=x%20%3D%20-10)
ANswer:
Distributive property
Add similar terms
Equality property of the sum
Equality subtraction property
Equality property of the division
Answer:
They made 2 batches
Step-by-step explanation:
If the factory used ⅔, and 1 batch is ⅓, the factory made 1 batch for each 3rd they used. ⅔, 2 batches
Answer:
9
Step-by-step explanation:
1. First, we need to set up an equation to find the value of x and then the length of EF.
2. We know that DG is equal to 33, so we can add all the three sections it's cut into altogether to get 33. Therefore, we get an equation of:
3. (Solving for x)
Step 1: Simplify both sides of the equation.
Step 2: Add 58 to both sides.
Step 3: Divide both sides by 7.
4. Now that we know x is equal to 13, we can plug that value in for the expression 3x - 30.
Therefore, the length of EF is 9.
Answer: B=-2,2
Step-by-step explanation:
I got it wrong so you can get it right