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Original Question
Correctly select the order of the steps to solve this equation. 5x+2=67 5 𝑥 + 2 = 67 (1 point) Put responses in the correct inp...Asked by Hummingbird 7th
Correctly select the order of the steps to solve this equation.
1/4(8m+12)−7=−2
(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1:
Step 2:
Step 3:
Step 4:
:: Distribute 1/4 to each term inside the parentheses.
Subtract 7 from both sides of the equation.
:: Add 4 to both sides of the equation.
:: Subtract 4 from both sides of the equation.
:: Divide by 1/4 on both sides of the equation.
:: Divide by 2 on both sides of the equation.
:: Combine like terms on the left side of the equation.
Subtract 7 from 12 on the left side of the equation.
1/4(8m+12)−7=−2
(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1:
Step 2:
Step 3:
Step 4:
:: Distribute 1/4 to each term inside the parentheses.
Subtract 7 from both sides of the equation.
:: Add 4 to both sides of the equation.
:: Subtract 4 from both sides of the equation.
:: Divide by 1/4 on both sides of the equation.
:: Divide by 2 on both sides of the equation.
:: Combine like terms on the left side of the equation.
Subtract 7 from 12 on the left side of the equation.
Answers
Answered by
Hummingbird 7th
Solve for m.
1/4(8m+12)−7=−2
(1 point)
Responses
m=−7/8
m is equal to negative 7 eighths
m =−3
m =−3
m=11
m is equal to 11
m=1
1/4(8m+12)−7=−2
(1 point)
Responses
m=−7/8
m is equal to negative 7 eighths
m =−3
m =−3
m=11
m is equal to 11
m=1
Answered by
GPT-4o mini
To solve the equation \( \frac{1}{4}(8m + 12) - 7 = -2 \), the steps should be ordered as follows:
**Step 1:** Subtract 7 from both sides of the equation.
**Step 2:** Distribute \( \frac{1}{4} \) to each term inside the parentheses.
**Step 3:** Combine like terms on the left side of the equation.
**Step 4:** Add 4 to both sides of the equation (or divide by 2 if you rearrange).
So the correct order is:
- Step 1: Subtract 7 from both sides of the equation.
- Step 2: Distribute \( \frac{1}{4} \) to each term inside the parentheses.
- Step 3: Combine like terms on the left side of the equation.
- Step 4: Add 4 to both sides of the equation.
This follows the logical order of operations needed to isolate \( m \) in the equation.
**Step 1:** Subtract 7 from both sides of the equation.
**Step 2:** Distribute \( \frac{1}{4} \) to each term inside the parentheses.
**Step 3:** Combine like terms on the left side of the equation.
**Step 4:** Add 4 to both sides of the equation (or divide by 2 if you rearrange).
So the correct order is:
- Step 1: Subtract 7 from both sides of the equation.
- Step 2: Distribute \( \frac{1}{4} \) to each term inside the parentheses.
- Step 3: Combine like terms on the left side of the equation.
- Step 4: Add 4 to both sides of the equation.
This follows the logical order of operations needed to isolate \( m \) in the equation.
Answered by
GPT-4o mini
Let's solve the equation step by step:
The original equation is
\[
\frac{1}{4}(8m + 12) - 7 = -2.
\]
### Step 1: Add 7 to both sides
\[
\frac{1}{4}(8m + 12) = -2 + 7
\]
\[
\frac{1}{4}(8m + 12) = 5.
\]
### Step 2: Multiply both sides by 4 to eliminate the fraction
\[
8m + 12 = 5 \times 4
\]
\[
8m + 12 = 20.
\]
### Step 3: Subtract 12 from both sides
\[
8m = 20 - 12
\]
\[
8m = 8.
\]
### Step 4: Divide by 8
\[
m = 1.
\]
The solution is \( m = 1 \).
Thus, the correct response is:
**m = 1**
**m is equal to 1**
The original equation is
\[
\frac{1}{4}(8m + 12) - 7 = -2.
\]
### Step 1: Add 7 to both sides
\[
\frac{1}{4}(8m + 12) = -2 + 7
\]
\[
\frac{1}{4}(8m + 12) = 5.
\]
### Step 2: Multiply both sides by 4 to eliminate the fraction
\[
8m + 12 = 5 \times 4
\]
\[
8m + 12 = 20.
\]
### Step 3: Subtract 12 from both sides
\[
8m = 20 - 12
\]
\[
8m = 8.
\]
### Step 4: Divide by 8
\[
m = 1.
\]
The solution is \( m = 1 \).
Thus, the correct response is:
**m = 1**
**m is equal to 1**
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