Answer :
Alright, let's verify Roberto's calculation of how many newspapers he has left to deliver using the equations provided. We will check each one by step-by-step calculation.
Roberto delivers a total of 252 newspapers each morning. This morning, he has already delivered 197 newspapers, and he found he has 55 left to deliver.
Let's check the given equations:
1. [tex]\( 197 + 55 = 252 \)[/tex]
This equation checks if the number of newspapers already delivered plus the remaining newspapers equals the total newspapers.
[tex]\[
197 + 55 = 252
\][/tex]
This equation is correct.
2. [tex]\( 197 - 55 = 142 \)[/tex]
This equation checks if subtracting the remaining newspapers from the delivered newspapers gives 142.
[tex]\[
197 - 55 = 142
\][/tex]
This equation illustrates a different calculation, not directly related to our goal of verifying the count of newspapers left. While it's mathematically true, it does not directly help verify the initial calculation.
3. [tex]\( 252 - 55 = 197 \)[/tex]
This equation checks if the total newspapers minus the remaining newspapers equals the newspapers already delivered.
[tex]\[
252 - 55 = 197
\][/tex]
This equation is correct.
4. [tex]\( 252 + 197 = 449 \)[/tex]
This equation checks if adding the total newspapers to the delivered newspapers gives a sum, which is irrelevant to our goal.
[tex]\[
252 + 197 = 449
\][/tex]
While it's mathematically true, it does not help verify the initial calculation.
5. [tex]\( 55 + 55 = 110 \)[/tex]
This equation checks if doubling the number of newspapers left gives 110.
[tex]\[
55 + 55 = 110
\][/tex]
This is mathematically true but unrelated to verifying the calculation of the remaining newspapers.
From the given equations, the ones that directly verify Roberto’s calculation are:
- [tex]\( 197 + 55 = 252 \)[/tex]
- [tex]\( 252 - 55 = 197 \)[/tex]
These equations confirm that Roberto's calculations are accurate regarding the newspapers left to deliver.
Roberto delivers a total of 252 newspapers each morning. This morning, he has already delivered 197 newspapers, and he found he has 55 left to deliver.
Let's check the given equations:
1. [tex]\( 197 + 55 = 252 \)[/tex]
This equation checks if the number of newspapers already delivered plus the remaining newspapers equals the total newspapers.
[tex]\[
197 + 55 = 252
\][/tex]
This equation is correct.
2. [tex]\( 197 - 55 = 142 \)[/tex]
This equation checks if subtracting the remaining newspapers from the delivered newspapers gives 142.
[tex]\[
197 - 55 = 142
\][/tex]
This equation illustrates a different calculation, not directly related to our goal of verifying the count of newspapers left. While it's mathematically true, it does not directly help verify the initial calculation.
3. [tex]\( 252 - 55 = 197 \)[/tex]
This equation checks if the total newspapers minus the remaining newspapers equals the newspapers already delivered.
[tex]\[
252 - 55 = 197
\][/tex]
This equation is correct.
4. [tex]\( 252 + 197 = 449 \)[/tex]
This equation checks if adding the total newspapers to the delivered newspapers gives a sum, which is irrelevant to our goal.
[tex]\[
252 + 197 = 449
\][/tex]
While it's mathematically true, it does not help verify the initial calculation.
5. [tex]\( 55 + 55 = 110 \)[/tex]
This equation checks if doubling the number of newspapers left gives 110.
[tex]\[
55 + 55 = 110
\][/tex]
This is mathematically true but unrelated to verifying the calculation of the remaining newspapers.
From the given equations, the ones that directly verify Roberto’s calculation are:
- [tex]\( 197 + 55 = 252 \)[/tex]
- [tex]\( 252 - 55 = 197 \)[/tex]
These equations confirm that Roberto's calculations are accurate regarding the newspapers left to deliver.
