Solve for w. 0.7(w+1.2)=2.1 (1 point) Responses -0.9 -0.9 1.8 1.8 4.2 4.2 0.9
To solve for w, we will first distribute 0.7 to the terms inside the parentheses:
0.7(w + 1.2) = 2.1
0.7w + 0.84 = 2.1
Next, subtract 0.84 from both sides to isolate the term with w:
0.7w = 1.26
Finally, divide both sides of the equation by 0.7 to solve for w:
w = 1.8
Therefore, the correct response is 1.8.
To solve for w in the equation 0.7(w + 1.2) = 2.1, we can follow these steps:
Step 1: Distribute the 0.7 to the terms inside the parentheses:
0.7w + 0.84 = 2.1
Step 2: Simplify the equation by subtracting 0.84 from both sides:
0.7w = 2.1 - 0.84
Step 3: Combine the terms on the right side of the equation:
0.7w = 1.26
Step 4: Divide both sides of the equation by 0.7 to isolate the variable w:
w = 1.26 / 0.7
Step 5: Perform the division to find the value of w:
w ≈ 1.8
So, the solution for w is approximately 1.8.