Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
To determine which situations could be represented by the numeric expression [tex]\(-8 + 10\)[/tex], let's carefully analyze each option provided.
Option A:
An atom has a positive charge because it contains 8 electrons that each have a charge of [tex]\(-1\)[/tex] and 10 protons that each have a charge of [tex]\(+1\)[/tex].
- Electrons carry a negative charge, so 8 electrons contribute a total charge of [tex]\(8 \times -1 = -8\)[/tex].
- Protons carry a positive charge, so 10 protons contribute a total charge of [tex]\(10 \times +1 = +10\)[/tex].
- The net charge of the atom is [tex]\(-8 + 10 = 2\)[/tex].
Hence, this situation could be represented by the expression [tex]\(-8 + 10\)[/tex].
Option B:
Janice sold 8 goldfish for a total of \[tex]$10. Therefore, she made a profit of \$[/tex]2.
- Selling goldfish for a total of \$10 does not clearly correlate with the addition of negative and positive values. The expression [tex]\(-8 + 10\)[/tex] suggests a combination of negative and positive changes, not a straightforward profit calculation.
- This situation is not directly represented by the expression [tex]\(-8 + 10\)[/tex].
Option C:
At a bus stop, 8 people got off the bus and 10 people got on. This means that the number of passengers increased by 2.
- 8 people getting off the bus can be represented as [tex]\(-8\)[/tex] (a decrease).
- 10 people getting on the bus can be represented as [tex]\(+10\)[/tex] (an increase).
- The change in the number of passengers is [tex]\(-8 + 10 = 2\)[/tex].
Hence, this situation could be represented by the expression [tex]\(-8 + 10\)[/tex].
Option D:
The temperature dropped 8 degrees and then another 10 degrees. The temperature is now [tex]\(-18\)[/tex] degrees.
- Dropping temperatures would be represented by negative changes. A drop of 8 degrees is [tex]\(-8\)[/tex] and another drop of 10 degrees is [tex]\(-10\)[/tex].
- The resulting temperature change would be [tex]\(-8 + -10 = -18\)[/tex].
However, the temperature change described here does not match the numeric expression [tex]\(-8 + 10\)[/tex], since it results in [tex]\(-18\)[/tex], not [tex]\(2\)[/tex].
In conclusion, the situations that can be represented by the numeric expression [tex]\(-8 + 10\)[/tex] are:
- Option A
- Option C
Option A:
An atom has a positive charge because it contains 8 electrons that each have a charge of [tex]\(-1\)[/tex] and 10 protons that each have a charge of [tex]\(+1\)[/tex].
- Electrons carry a negative charge, so 8 electrons contribute a total charge of [tex]\(8 \times -1 = -8\)[/tex].
- Protons carry a positive charge, so 10 protons contribute a total charge of [tex]\(10 \times +1 = +10\)[/tex].
- The net charge of the atom is [tex]\(-8 + 10 = 2\)[/tex].
Hence, this situation could be represented by the expression [tex]\(-8 + 10\)[/tex].
Option B:
Janice sold 8 goldfish for a total of \[tex]$10. Therefore, she made a profit of \$[/tex]2.
- Selling goldfish for a total of \$10 does not clearly correlate with the addition of negative and positive values. The expression [tex]\(-8 + 10\)[/tex] suggests a combination of negative and positive changes, not a straightforward profit calculation.
- This situation is not directly represented by the expression [tex]\(-8 + 10\)[/tex].
Option C:
At a bus stop, 8 people got off the bus and 10 people got on. This means that the number of passengers increased by 2.
- 8 people getting off the bus can be represented as [tex]\(-8\)[/tex] (a decrease).
- 10 people getting on the bus can be represented as [tex]\(+10\)[/tex] (an increase).
- The change in the number of passengers is [tex]\(-8 + 10 = 2\)[/tex].
Hence, this situation could be represented by the expression [tex]\(-8 + 10\)[/tex].
Option D:
The temperature dropped 8 degrees and then another 10 degrees. The temperature is now [tex]\(-18\)[/tex] degrees.
- Dropping temperatures would be represented by negative changes. A drop of 8 degrees is [tex]\(-8\)[/tex] and another drop of 10 degrees is [tex]\(-10\)[/tex].
- The resulting temperature change would be [tex]\(-8 + -10 = -18\)[/tex].
However, the temperature change described here does not match the numeric expression [tex]\(-8 + 10\)[/tex], since it results in [tex]\(-18\)[/tex], not [tex]\(2\)[/tex].
In conclusion, the situations that can be represented by the numeric expression [tex]\(-8 + 10\)[/tex] are:
- Option A
- Option C
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.
