Aaron claims the same answer could also be found by adding either –5 + 3 or –3 + 5.%0D%0A%0D%0AWhat is the error in Aaron’s reasoning?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AThe negative signs were switched.%0D%0AThe negative signs were switched.%0D%0A%0D%0AThe numbers are not in the correct order.%0D%0AThe numbers are not in the correct order.%0D%0A%0D%0AThe associative property was used.%0D%0AThe associative property was used.%0D%0A%0D%0AThe commutative property is not true for addition.

11 answers

The correct response to identify the error in Aaron's reasoning is:

The commutative property is not true for addition.

However, this statement is actually incorrect because the commutative property is true for addition. The mistake in Aaron's reasoning lies in thinking that adding –5 and 3 yields the same result as adding –3 and 5.

Actually, when you compute the two expressions:

  • For –5 + 3:

    • –5 + 3 = –2
  • For –3 + 5:

    • –3 + 5 = 2

The two expressions yield different results. Therefore, the error in Aaron's reasoning comes from the assumption that both sums would produce the same answer, which they do not.

Aaron claims the same answer could also be found by adding either –5 + 3 or –3 + 5. What is the error in Aaron’s reasoning? (1 point) Responses The negative signs were switched. The negative signs were switched. The numbers are not in the correct order. The numbers are not in the correct order. The associative property was used. The associative property was used. The commutative property is not true for addition.

The correct option regarding the error in Aaron's reasoning is:

The negative signs were switched.

Aaron’s claim that –5 + 3 and –3 + 5 yield the same result is incorrect because these two expressions represent different operations. Specifically:

  • –5 + 3 results in –2.
  • –3 + 5 results in 2.

They do not yield the same answer. The mistake in his reasoning centers on how he has treated the negative signs in the two different summations.

Juan ran the lemonade stand for 3 more days after his first day profit of $12. Each day, he used the money from sales to purchase more lemons, cups, and sugar to make more lemonade. The table shows how much he spent and earned each day. What is the expression needed to find his total profit? What was his total profit?

To determine Juan's total profit from the lemonade stand, we need a way to express the profit he made over those days.

Expression Needed to Calculate Total Profit:

The total profit can be calculated using the formula:

\[ \text{Total Profit} = \text{Total Earnings} - \text{Total Expenses} \]

Where:

  • Total Earnings is the sum of all the money Juan earned from sales over the days.
  • Total Expenses is the sum of all the money Juan spent on lemons, cups, and sugar.

Assuming the table lists Juan's earnings and expenses for each day, the expression to find the total profit over the 3 days would be:

\[ \text{Total Profit} = (E_1 + E_2 + E_3 + E_4) - (X_1 + X_2 + X_3 + X_4) \]

Where:

  • \(E_1, E_2, E_3, E_4\) are the earnings for each of the 4 days (including the first day).
  • \(X_1, X_2, X_3, X_4\) are the expenses for each of the 4 days.

Calculating Total Profit:

To find the total profit, you'll need:

  1. The earnings for each day,
  2. The expenses for each day.

If you provide the specific earnings and expenses from the table you mentioned, I can help calculate the total profit for Juan. For the sake of illustration, let’s assume it looks something like this:

Example Table: | Day | Earnings | Expenses | |-----|----------|----------| | 1 | $12 | $5 | | 2 | $15 | $8 | | 3 | $20 | $10 | | 4 | $25 | $12 |

From this table:

  • Total Earnings = $12 + $15 + $20 + $25
  • Total Expenses = $5 + $8 + $10 + $12

You would compute:

  • Total Earnings = $12 + $15 + $20 + $25 = $72
  • Total Expenses = $5 + $8 + $10 + $12 = $35

Then, using the profit formula: \[ \text{Total Profit} = 72 - 35 = 37 \]

Thus, Juan's total profit would be $37 in this example. Please provide the actual data from the table for a precise calculation.

you sure?

Let's clarify the process of calculating Juan's total profit with careful attention to the details.

Steps to Determine Total Profit

  1. Understand Profit Calculation:

    • Profit is defined as Total Earnings - Total Expenses over the given period.
  2. Identify the Earnings and Expenses:

    • Assume Juan sold lemonade for 4 days (1 initial day plus 3 additional days).
    • You need specific values for earnings and expenses for each day to compute the totals.

Example Calculation

To illustrate, let's assume Juan's earnings and expenses looked like this over 4 days (you can replace these with the correct values from the referenced table):

| Day | Earnings | Expenses | |-----|----------|----------| | 1 | $12 | $5 | | 2 | $15 | $8 | | 3 | $20 | $10 | | 4 | $25 | $12 |

  1. Calculate Total Earnings and Total Expenses:
  • Total Earnings:

    • Day 1: $12
    • Day 2: $15
    • Day 3: $20
    • Day 4: $25
    • Total Earnings = $12 + $15 + $20 + $25 = $72
  • Total Expenses:

    • Day 1: $5
    • Day 2: $8
    • Day 3: $10
    • Day 4: $12
    • Total Expenses = $5 + $8 + $10 + $12 = $35
  1. Calculate Total Profit:

Using the formula: \[ \text{Total Profit} = \text{Total Earnings} - \text{Total Expenses} \]

\[ \text{Total Profit} = 72 - 35 = 37 \]

Thus, in this example, Juan’s total profit would be $37.

Conclusion

You will need to use the actual earnings and expenses from the table you referred to originally to perform the final calculation. If the numbers differ from the example provided or you have specific values, please share them, and I can help you arrive at the correct total profit. If you're looking for something specific or have concerns about the calculations, please let me know!

wrong

I apologize for any confusion caused by my previous messages. Let's clarify how to calculate Juan’s total profit step by step, ensuring we have a correct understanding of the calculation.

Steps to Calculate Total Profit

  1. Identify Total Earnings:

    • This includes all the money Juan made from selling lemonade over the period.
  2. Identify Total Expenses:

    • This includes all the money Juan spent on purchasing supplies such as lemons, cups, and sugar.
  3. Calculating Total Profit:

    • Use the formula: \[ \text{Total Profit} = \text{Total Earnings} - \text{Total Expenses} \]

Assuming No Specific Table Data

Without specific values, here’s a general outline of what you would do:

  • Step 1: List all earnings for each day. For example:

    • Day 1: \(E_1\)
    • Day 2: \(E_2\)
    • Day 3: \(E_3\)
    • Day 4: \(E_4\)
  • Step 2: List all expenses for each day. For example:

    • Day 1: \(X_1\)
    • Day 2: \(X_2\)
    • Day 3: \(X_3\)
    • Day 4: \(X_4\)
  • Step 3: Calculate the totals:

    • Total Earnings = \(E_1 + E_2 + E_3 + E_4\)
    • Total Expenses = \(X_1 + X_2 + X_3 + X_4\)
  • Step 4: Substitute into the profit formula.

Example Calculation

Let’s assume:

  • Day 1 (Profit = $12, Expenses = $5)
  • Day 2 (Profit = $15, Expenses = $7)
  • Day 3 (Profit = $18, Expenses = $10)
  • Day 4 (Profit = $20, Expenses = $12)

Calculating with example values:

  • Total Earnings: \(12 + 15 + 18 + 20 = 65\)

  • Total Expenses: \(5 + 7 + 10 + 12 = 34\)

  • Substituting into the profit formula: \[ \text{Total Profit} = 65 - 34 = 31 \]

Final Thoughts

Please provide the specific earnings and expenses for each day if you have them or clarify any specific elements of the problem. This will allow us to accurately compute Juan's total profit together. Again, I apologize for any confusion in the earlier responses, and I appreciate your patience.

An animal shelter worker recorded in the table below the amount of food, in pounds, fed to the animals over a four-day period. On which day were the animals fed the most food? NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. (1 point) Responses Friday Friday Sunday Sunday Saturday Saturday Monday

To determine which day the animals were fed the most food, you'll need to refer to the table of food amounts recorded for each day. However, since you haven't provided the specific amounts fed on each day, I can't analyze or identify the correct day for you.

If you can provide the amounts of food fed on Friday, Saturday, Sunday, and Monday, I can help you determine which day had the highest amount. Alternatively, you can look for the highest value in the table yourself and select the corresponding day.

If you'd like to share the table or any additional details, please do!