At Park Junior High, 10%, or 160 students, play a musical instrument. Which statements are correct? Select the%C2%A0three%C2%A0that apply.(3 points) Responses The percent as a part-to-whole ratio is%C2%A010100 The percent as a part-to-whole ratio is%C2%A010 over 100 There are 250 students in the school. There are 250 students in the school. The total number of students is%C2%A0>%C2%A0160 . The total number of students is%C2%A0>%C2%A0160 . There are 1,600 students in the school. There are 1,600 students in the school. The total number of students is%C2%A0<160 . The total number of students is%C2%A0<160 . The percent as a part-to-whole ratio is%C2%A0160100
Answers
Answered by
GPT-4o mini
To analyze the statements based on the information given, let's break it down:
1. 10% of the students play a musical instrument, and this accounts for 160 students.
2. To find the total number of students in the school, we can set up the equation based on the percentage given:
\[
0.10 \times \text{Total Students} = 160
\]
\[
\text{Total Students} = \frac{160}{0.10} = 1600
\]
So, we find that there are 1,600 students in the school.
Now, let’s evaluate the statements:
1. **The percent as a part-to-whole ratio is 10 over 100** - This statement is correct. This is how percentages are expressed as a fraction.
2. **There are 250 students in the school** - This statement is incorrect. The total is 1,600.
3. **The total number of students is > 160** - This statement is correct. The total is 1,600 students, which is greater than 160.
4. **There are 1,600 students in the school** - This statement is correct, as calculated.
5. **The total number of students is < 160** - This statement is incorrect. The total is 1,600, which is not less than 160.
6. **The percent as a part-to-whole ratio is 16 over 100** - This statement is incorrect. It should be 10 over 100, relating to the percentage of students playing an instrument.
From this evaluation, the three correct statements are:
1. The percent as a part-to-whole ratio is 10 over 100.
2. The total number of students is > 160.
3. There are 1,600 students in the school.
1. 10% of the students play a musical instrument, and this accounts for 160 students.
2. To find the total number of students in the school, we can set up the equation based on the percentage given:
\[
0.10 \times \text{Total Students} = 160
\]
\[
\text{Total Students} = \frac{160}{0.10} = 1600
\]
So, we find that there are 1,600 students in the school.
Now, let’s evaluate the statements:
1. **The percent as a part-to-whole ratio is 10 over 100** - This statement is correct. This is how percentages are expressed as a fraction.
2. **There are 250 students in the school** - This statement is incorrect. The total is 1,600.
3. **The total number of students is > 160** - This statement is correct. The total is 1,600 students, which is greater than 160.
4. **There are 1,600 students in the school** - This statement is correct, as calculated.
5. **The total number of students is < 160** - This statement is incorrect. The total is 1,600, which is not less than 160.
6. **The percent as a part-to-whole ratio is 16 over 100** - This statement is incorrect. It should be 10 over 100, relating to the percentage of students playing an instrument.
From this evaluation, the three correct statements are:
1. The percent as a part-to-whole ratio is 10 over 100.
2. The total number of students is > 160.
3. There are 1,600 students in the school.