Correctly select the order of the steps to solve this equation.

Question

1/3(6x−9)=−33

(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:

::Add 1/3 to both sides of the equation.
:Subtract 1/3 from both sides of the equation.
:: Divide by 1/3 on both sides of the equation.
:: Multiply by 1/3 on both sides of the equation.
:: Subtract 6 from both sides of the equation.
:: Add 9 to both sides of the equation.
:: Subtract 9 from both sides of the equation.
:: Divide by 6 on both sides of the equation.
:: Multiply by 6 on both side of the equation.

GPT-4o mini · Answer

To solve the equation $ \frac{1}{3}(6x - 9) = -33 $, we can follow these steps logically: **Step 1:** Multiply both sides of the equation by 3 to eliminate the fraction: - **Response:** Multiply by 3 on both sides of the equation. **Step 2:** Simplify the left side and the right side: After multiplying, we have $ 6x - 9 = -99 $. **Step 3:** Add 9 to both sides of the equation to isolate the term with $ x $: - **Response:** Add 9 to both sides of the equation. So the correct order of the steps is: Step 1: Multiply by 3 on both sides of the equation. Step 2: Add 9 to both sides of the equation. Step 3: Finally solve for $ x $ (not listed in the options but is the next implied step). Note: The remaining operations to solve for $ x $ after step 3 involve dividing by 6. If necessary, that step could be included depending on the completeness required.

Hummingbird 7th · Answer

Solve for x. 1/3(6x−9)=−33 (1 point) Responses x = -30 x = -30 x = -15 x = -15 x = -22 x = -22 x = -19

GPT-4o mini · Answer

Let's solve the equation $ \frac{1}{3}(6x - 9) = -33 $ step-by-step: 1. **Multiply both sides by 3** to eliminate the fraction: $$ 6x - 9 = -99 $$ 2. **Add 9 to both sides** to isolate the term with $ x $: $$ 6x = -99 + 9 $$ $$ 6x = -90 $$ 3. **Divide both sides by 6** to solve for $ x $: $$ x = \frac{-90}{6} = -15 $$ Thus, the solution for $ x $ is: $$ \boxed{x = -15} $$ So the correct response from your options is: - x = -15

Hummingbird 7th · Answer

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.

GPT-4o mini · Answer

To solve the equation $ -\frac{3}{5}(15x - 30) = 198 $, we can follow these steps logically: **Step 1:** **Multiply both sides of the equation by** $ -\frac{5}{3} $ **to eliminate the fraction:** - **Response:** Divide both sides of the equation by $ -\frac{3}{5} $. **Step 2:** Simplifying the left side will give you $ 15x - 30 = -330 $ after multiplying. **Step 3:** **Add 30 to both sides of the equation** to isolate the term with $ x $: - **Response:** Add 30 to both sides of the equation. This gives you $ 15x = -300 $. Lastly, you could then divide by 15 to solve for $ x $ (not included in the options). So, the correct order of steps is: **Step 1:** Divide both sides of the equation by $ -\frac{3}{5} $. **Step 2:** Add 30 to both sides of the equation. **Step 3:** (optional to finish) Divide both sides by 15 (which can be inferred as the next step to solve for $ x $). Note: If you prefer not to include inferred steps, only the first two would be necessary to satisfy the query.

Hummingbird 7th · Answer

Solve for x. −3/5(15x−30)=198 (1 point) Responses x = -24 x = -24 x = -36 x = -36 x = -10 x = -10 x = -20

GPT-4o mini · Answer

Let's solve the equation $ -\frac{3}{5}(15x - 30) = 198 $ step-by-step. 1. **Multiply both sides by** $ -\frac{5}{3} $ **to eliminate the fraction**: $$ 15x - 30 = 198 \cdot \left(-\frac{5}{3}\right) $$ To simplify the right side: $$ 198 \cdot -\frac{5}{3} = -\frac{990}{3} = -330 $$ Thus, we have: $$ 15x - 30 = -330 $$ 2. **Add 30 to both sides**: $$ 15x = -330 + 30 $$ $$ 15x = -300 $$ 3. **Divide both sides by 15**: $$ x = \frac{-300}{15} = -20 $$ Therefore, the solution for $ x $ is: $$ \boxed{x = -20} $$ So from your options, the correct response is: - $ x = -20 $

Hummingbird 7th · Answer

At Mariah's birthday party, 9 of her friends ate 3/4 of her chocolate cake. How much of the cake did each friend eat?(1 point) Responses 12 12 6 3/4 6 and 3 fourths 1/9 1 ninth 1/12

GPT-4o mini · Answer

To find out how much of the cake each friend ate, we first need to determine how much cake 9 friends ate together and then divide that amount by the number of friends.

Total amount of cake eaten by the friends: \[ \frac{3}{4} \text{ of the cake} \]
Number of friends: \[ 9 \text{ friends} \]
Amount of cake eaten by each friend: We divide $\frac{3}{4}$ by $9$: \[ \text{Amount eaten by each friend} = \frac{3}{4} \div 9 = \frac{3}{4} \times \frac{1}{9} = \frac{3}{36} = \frac{1}{12} \]

Thus, each friend ate $\frac{1}{12}$ of the cake.

Therefore, the correct response from your options is:

$ \frac{1}{12} $

Hummingbird 7th · Answer

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.

GPT-4o mini · Answer

Let's solve the equation $ \frac{1}{4}(8m + 12) - 7 = -2 $ step-by-step and choose the correct order of operations: 1. **Step 1:** **Add 7 to both sides** to eliminate the -7: $$ \frac{1}{4}(8m + 12) = -2 + 7 $$ This simplifies to: $$ \frac{1}{4}(8m + 12) = 5 $$ 2. **Step 2:** **Multiply both sides by 4** to eliminate the fraction: $$ 8m + 12 = 20 $$ (This step is equivalent to dividing by $ \frac{1}{4} $, but it’s easier to understand as multiplying by 4, so we can specify it clearly here.) 3. **Step 3:** **Subtract 12 from both sides** to isolate the term with $ m $: $$ 8m = 20 - 12 $$ This simplifies to: $$ 8m = 8 $$ 4. **Step 4:** **Divide by 8** to solve for $ m $: $$ m = 1 $$ Given these steps, here is the organized order: **Step 1:** Add 7 to both sides of the equation. **Step 2:** Multiply by 4 on both sides of the equation (or divide by $ \frac{1}{4} $). **Step 3:** Subtract 12 from both sides of the equation. **Step 4:** Divide by 8 on both sides of the equation. So the correct selections in order are: 1. Add 7 to both sides of the equation. 2. Divide by 1/4 on both sides of the equation. 3. Subtract 12 from both sides of the equation. 4. Divide by 8 on both sides of the equation. (Note: If "Divide by 8" is not present, use the statement "Combine like terms on the left side of the equation" instead, as this step concludes the simplification as well.)