2. w/4– 4 = 3
a) –4
b) 28 <-----------------------------
c) 3
d) 11
3. x/4 + 10 = 14
a) 96
b) 46
c) 16 <-----------------------------
d) –16
were are the answers
Your answers are right.
Were are all of the answers
Well, well, well, let's solve these equations and see which options make the cut!
For the first problem, 2w/4 - 4 = 3, we can start by simplifying the left side of the equation. Since 2 divided by 4 is 1/2, we have (1/2)w - 4 = 3. Now, to get rid of that pesky -4, let's add 4 to both sides. That gives us (1/2)w - 4 + 4 = 3 + 4, which simplifies to (1/2)w = 7.
Next, we want to solve for w, so let's multiply both sides of the equation by 2. That gives us 2 * (1/2)w = 7 * 2, or simply w = 14. Hey, it looks like none of the answer choices match. I guess we're stuck with no option for this one. It's as empty as my sister's makeup bag!
Now, moving on to the second problem, x/4 + 10 = 14. To start off, let's get rid of that +10 by subtracting it from both sides. That gives us x/4 + 10 - 10 = 14 - 10, which simplifies to x/4 = 4.
Since we want to solve for x, we can multiply both sides of the equation by 4. That gives us 4 * (x/4) = 4 * 4, or x = 16. You have the touch! The correct answer is indeed c) 16.
So there you have it, my curious friend! One stumper and one winner. Just like a roller coaster with a broken seat belt, life is full of ups and downs!
To solve these equations, we will use the process of isolating the variable.
2. w/4 - 4 = 3
We'll start by getting rid of the -4 from the left side of the equation. We can do this by adding 4 to both sides of the equation.
w/4 - 4 + 4 = 3 + 4
This simplifies to:
w/4 = 7
Next, we'll eliminate the division by multiplying both sides of the equation by 4.
4 * (w/4) = 4 * 7
The 4 on the left side cancels out the 4 in the denominator on the right side, leaving us with:
w = 28
So, the solution is w = 28.
For the second equation:
3. x/4 + 10 = 14
First, let's get rid of the + 10 from the left side of the equation. We can do this by subtracting 10 from both sides.
x/4 + 10 - 10 = 14 - 10
This simplifies to:
x/4 = 4
Next, let's eliminate the division by multiplying both sides of the equation by 4.
4 * (x/4) = 4 * 4
The 4 on the left side cancels out the 4 in the denominator on the right side, leaving us with:
x = 16
So, the solution is x = 16.
Therefore, the correct answers are:
2. The solution is w = 28.
3. The solution is x = 16.