Which of the following is a solution to the equation 16 = 4x – 4? (1 point) Responses –5 –5 –4 –4 5 5 16
To find the solution to the equation 16 = 4x - 4, we need to isolate the variable x.
Adding 4 to both sides of the equation, we have:
16 + 4 = 4x - 4 + 4
20 = 4x
To isolate x, we divide both sides of the equation by 4:
20/4 = 4x/4
5 = x
So, the solution to the equation 16 = 4x - 4 is x = 5.
An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student’s model is 42 in. What should the width of the model be? (1 point) Responses 17.5 in 17.5 in 20.5 in 20.5 in 83.6 in 83.6 in 100.8 in
We can use the information given to set up an equation to solve for the width of the model. Let's represent the width of the classroom as "w".
According to the problem, the length of the classroom is 2.4 times its width. This means the length (L) can be expressed as 2.4w.
The length of the student's model is 42 in, so we can set up the equation:
2.4w = 42
To solve for w, we divide both sides of the equation by 2.4:
w = 42/2.4
w ≈ 17.5
Therefore, the width of the model should be approximately 17.5 in.
Use mental math to determine the solution to = 24. (1 point) Responses x = 6 x = 6 x = 8 x = 8 x = 27 x = 27 x = 72
To determine the solution to the equation x = 24, we need to find the value of x.
By mentally calculating, we can see that the solution is x = 24.
To find the solution to the equation 16 = 4x - 4, follow these steps:
1. Add 4 to both sides of the equation:
16 + 4 = 4x - 4 + 4
Simplifying gives: 20 = 4x
2. Divide both sides of the equation by 4 to isolate x:
20 / 4 = 4x / 4
Simplifying gives: 5 = x
Therefore, the solution to the equation is x = 5.
To find the solution to the equation 16 = 4x - 4, follow these steps:
Step 1: Add 4 to both sides of the equation:
16 + 4 = 4x - 4 + 4
20 = 4x
Step 2: Divide both sides by 4 to isolate the variable x:
20 / 4 = 4x / 4
5 = x
Therefore, the solution to the equation is x = 5.