which equation represents this hanger model a. 2r+4=14 b. 2r-4=14 c. 2+r+4=14 d. 2r+4

Answer 1

To determine which equation represents the hanger model based on your description, let's analyze the provided options:

Assuming the hanger model involves balancing weights on either side, you might want to find an equation that represents total weight or balance.

Options:

a. \(2r + 4 = 14\) b. \(2r - 4 = 14\) c. \(2 + r + 4 = 14\) d. \(2r + 4\)

If we assume we want to solve for \(r\) (representing some quantity like the weight), we can set up equations based on typical structures:

• In option a, \(2r + 4 = 14\), we can solve for \(r\):

  • \(2r = 14 - 4\)
  • \(2r = 10\)
  • \(r = 5\)

• In option b, \(2r - 4 = 14\):

  • \(2r = 14 + 4\)
  • \(2r = 18\)
  • \(r = 9\)

• In option c, \(2 + r + 4 = 14\):

  • \(r + 6 = 14\)
  • \(r = 8\)

• In option d, \(2r + 4\) does not form a complete equation to be solved for \(r\).

Without additional context, we cannot conclusively determine the best option. However, option a \(2r + 4 = 14\) is a commonly structured equation for a situation where you're balancing out a total, making it a strong candidate depending on other criteria in your hanger model.

If you have more information about the model or scenario, please provide it to refine the answer!

Answer 2

which equation below represents the hanger.
|
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|-----------|
| 7
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a
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3
a. 3a=7
b. a+3=7
c. a/3=7
d. a-3=7

Answer 3

From the diagram you described, it seems like there is a balance represented by a horizontal bar with weights below it. Based on the information given:

• There is a weight of 7 on one side of the hanger.
• There is a weight of 3 below the other side of the hanger represented by a.

We are looking to find the equation that represents this balance scenario.

In a balancing scenario like this, we typically have both sides equal:

• One side has weight 7.
• The other side has weight represented by the sum of a and 3 (which would give you the total weight on that side).

The correct representation of the balance would be:

\[ a + 3 = 7 \]

From the options provided, the correct equation is:

b. \(a + 3 = 7\).

To solve for \(a\):

• Subtract 3 from both sides: \[ a = 7 - 3 \] \[ a = 4 \]

So, option b accurately represents the hanger balance based on your description.

Answer 4

determine the first step in solving this equation.
5n-18=-33
a. add 18 to both sides of the equation.
b. multiply both sides of the equation by 5.
c. add -33 to both sides of the equation.
d. add 5 to both sides of the equation.
e. subtract 18 from both sides of the equation.

Answer 5

To solve the equation \(5n - 18 = -33\), you want to isolate the term involving \(n\) on one side of the equation. The first step in doing this is to eliminate the \(-18\) from the left side.

Looking at your options:

a. add 18 to both sides of the equation.
b. multiply both sides of the equation by 5.
c. add -33 to both sides of the equation.
d. add 5 to both sides of the equation.
e. subtract 18 from both sides of the equation.

The correct first step to isolate \(5n\) would be:

a. add 18 to both sides of the equation.

This will give you:

\[ 5n - 18 + 18 = -33 + 18 \]

Simplifying that yields:

\[ 5n = -15 \]

So, option a is the correct first step in solving the equation.

Answer 6

determine the first step to solve this equation.
120-8d=7
a. add 120 to both sides of the equation
b. subtract 120 from both sides of the equation
c. add 8 to both sides of the equation
d. subtract 8 from both sides of the equation
e. multiply -8 on both sides of the equation

Answer 7

To solve the equation \(120 - 8d = 7\), the goal is to isolate the term that contains \(d\). The first step should focus on eliminating the constant term on the left side (which is \(120\)) so that you can get the term with \(d\) by itself.

Looking at your options:

a. add 120 to both sides of the equation
b. subtract 120 from both sides of the equation
c. add 8 to both sides of the equation
d. subtract 8 from both sides of the equation
e. multiply -8 on both sides of the equation

The correct first step would be:

b. subtract 120 from both sides of the equation.

Doing this gives:

\[ 120 - 120 - 8d = 7 - 120 \]

Which simplifies to:

\[ -8d = -113 \]

Now you can proceed to solve for \(d\). Thus, option b is the correct first step.

Answer 8

sort the following equations into one-step and two-step equations.
one step equation:
two step equation:
a. x/2=3
b. 1/3x+1=-2
c. x-3 =5
d. 2x=16
e. 2x-3=5

Answer 9

To sort the given equations into one-step and two-step equations, let's define them first:

• One-step equations can be solved in a single operation (addition, subtraction, multiplication, or division).
• Two-step equations require two operations to isolate the variable.

Now, let's categorize the provided equations:

One-step Equations:

1. a. \( \frac{x}{2} = 3 \) (This requires multiplying both sides by 2.)
2. d. \( 2x = 16 \) (This requires dividing both sides by 2.)
3. c. \( x - 3 = 5 \) (This requires adding 3 to both sides.)

Two-step Equations:

1. b. \( \frac{1}{3}x + 1 = -2 \) (This requires first subtracting 1, then multiplying by 3.)
2. e. \( 2x - 3 = 5 \) (This requires first adding 3, then dividing by 2.)

Summary:

One-step equations:

• a. \( \frac{x}{2} = 3 \)
• c. \( x - 3 = 5 \)
• d. \( 2x = 16 \)

Two-step equations:

• b. \( \frac{1}{3}x + 1 = -2 \)
• e. \( 2x - 3 = 5 \)

Answer 10

match the order of steps to solve the equation.
10x-18=-2
step 1:
step 2:
step 3:
a. subtract 18 from both sides of the equation
b. add 18 to both sides of the equation.
c. multiply both sides of the equation by 10
d. divide both sides of the equation by 10
e. x=8/5
f. x=-2
g. x=-8/5

Answer 11

To solve the equation \(10x - 18 = -2\), we need to follow a series of steps. Here’s how we can break it down:

Step-by-step solution:

1. Step 1: Start by isolating the term with \(x\). You can do this by eliminating the constant term on the left side. You would add 18 to both sides of the equation.

   • This corresponds to b. add 18 to both sides of the equation.

   The equation then becomes: \[ 10x = -2 + 18 \] \[ 10x = 16 \]

2. Step 2: Next, you want to solve for \(x\) by dividing both sides by 10.

   • This corresponds to d. divide both sides of the equation by 10.

   The equation now becomes: \[ x = \frac{16}{10} \] Or simplified: \[ x = \frac{8}{5} \]

3. Step 3: The final result is \(x = \frac{8}{5}\).

   • This corresponds to e. x = 8/5.

Summary of Steps:

• Step 1: b. add 18 to both sides of the equation
• Step 2: d. divide both sides of the equation by 10
• Step 3: e. x = 8/5

(Note: The other options (a, c, f, and g) are not involved in the solution process for this specific equation.)