What is the first step in solving for x in the equation 5.6(x+1.42)=7.8 ?(1 point)
Responses
Multiply both sides by 5.6.
Multiply both sides by 5.6.
Subtract 1.42 from both sides.
Subtract 1.42 from both sides.
Only the left-hand side was divided by 5.6.
Only the left-hand side was divided by 5.6.
Divide both sides by 5.6.
The correct answer is: Divide both sides by 5.6.
The first step in solving for x in the equation 5.6(x+1.42)=7.8 is to distribute the 5.6 to the terms inside the parentheses. This means you multiply 5.6 by x and 5.6 by 1.42.
So, the equation becomes: 5.6x + (5.6 * 1.42) = 7.8.
Next, you simplify the equation by multiplying: 5.6x + 7.952 = 7.8.
Now, your goal is to isolate the variable x on one side of the equation. Since x is being multiplied by 5.6, you need to get rid of this multiplication. You can do this by subtracting 7.952 from both sides of the equation.
So, the equation becomes: 5.6x = 7.8 - 7.952.
Now, you simplify the right side of the equation: 5.6x = -0.152.
Finally, to solve for x, you divide both sides of the equation by 5.6. This is the last step.
So, the equation becomes: x = -0.152 / 5.6.
Now, you can calculate the value of x by dividing -0.152 by 5.6. The value of x is approximately -0.0271.
The first step in solving for x in the equation 5.6(x+1.42)=7.8 is to divide both sides of the equation by 5.6.
What is the second step in solving for n in the equation 5.6(n+1.42)=7.8?(1 point)
Responses
Divide both sides by 5.6.
Divide both sides by 5.6.
Add 1.42 to both sides.
Add 1.42 to both sides.
Subtract 1.42 from both sides.
Subtract 1.42 from both sides.
Subtract 5.6 from both sides.
Subtract 5.6 from both sides.
The correct answer is: Subtract 1.42 from both sides.
What is the first step in solving for x in the equation 9.8(x−2.14)=53.9(1 point)
Responses
Multiply both sides by 9.8.
Multiply both sides by 9.8.
Divide both sides by 9.8.
Divide both sides by 9.8.
Divide only the left-hand side by 9.8.
Divide only the left-hand side by 9.8.
Add 2.14 to both sides.
The correct answer is: Divide both sides by 9.8.
Solve for x in the equation 102.5(x−11.92)=71.6 . Round your answer to 3 decimal places.(1 point)
Responses
12.618
12.618
−11.221
negative 11.221
12.619
12.619
0.699
Solve for n in the equation 50.3(n+9.25)=−120.72.(1 point)
Responses
−6.85
negative 6.85
−11.65
negative 11.65
−2.4
negative 2.4
6.85
To solve for n in the equation 50.3(n+9.25)=−120.72, we can follow these steps:
First, distribute 50.3 to the terms in the parentheses:
50.3n + 50.3(9.25) = -120.72
Simplify the equation by multiplying:
50.3n + 462.275 = -120.72
Next, isolate the term with n by subtracting 462.275 from both sides:
50.3n = -120.72 - 462.275
50.3n = -582.995
Finally, solve for n by dividing both sides by 50.3:
n = -582.995 / 50.3
n ≈ -11.597 (rounded to 3 decimal places)
Therefore, the correct answer is -11.597.