Hello! I am not asking for the answer to this question, I am asking for a step-by-step explanation.
Mr. Green band, choir, and math. This year, he has 57 students that take at least one of his classes. He teaches band to 25 students. There are 9 students who have Mr. Green for Math and nothing else. Use the Venn Diagram below:
3 circles interloping; Top is Math - it is empty. Bottom Left is Band - The number 11 is in the center. Bottom Right is Choir - The number 17 is in the center. In the "space" between Math and Band, there is the number 7. In the space between Math, Band and Choir, there are 3. Just in case, here is the link to the picture. (couldn't paste link, so there are spaces between the periods just copy and paste into browser without spaces between periods) lh3 . googleusercontent . com/_MwGscmMM8z3rWMgB3x1qHXwjdQdK0Cbh5Putu2gwVw8kGOi_H094VCBAE7uhLK6JJFV4g=s103
How many students take exactly 2 classes with Mr. Green?
Thanks for all the help!
I was able to see your diagram.
Since the band circle must have a total of 25, and we have already
(11+7+3) or 21 entered in the Venn diagram, the missing part of Band and Choir must be 4
So label the math-only part 9 and the intersection of Math and Choir as x (only the part of Math and Choir, not including the intersection in the middle)
Now all the fields are filled in.
But we know that the total is 57 , so
add them all up 9+7+3+x+17+4+11 = 57
x = 57-51
x=6
State your conclusion
how is her answer 17?
reiny is correct!!! it is 17, thank you for the explanation💗💗💗
To find the number of students who take exactly two classes with Mr. Green, we need to examine the Venn diagram provided.
Step 1: Identify the numbers given in the diagram.
- The number in the center of the Band circle is 11.
- The number in the center of the Choir circle is 17.
- The number in the space between Math and Band is 7.
- The number in the space between Math, Band, and Choir is 3.
- The number of students who have Mr. Green for Math and nothing else is 9.
- The total number of students who take at least one of Mr. Green's classes is 57.
Step 2: Understand the relationships between the regions in the Venn diagram.
- The intersection of Math and Band represents the number of students who take both Math and Band, which is unknown.
- The intersection of Math and Choir represents the number of students who take both Math and Choir, which is unknown.
- The intersection of Band and Choir represents the number of students who take both Band and Choir, which is unknown.
- The region outside any circle represents the number of students who do not take any classes with Mr. Green.
Step 3: Set up equations based on the information given.
- Let's represent the number of students who take both Math and Band as "x."
- The number of students who take both Math and Choir is "3."
- The number of students who take both Band and Choir is "y."
- The number of students who take only Math is "9."
- The number of students who take only Band is "11 - x."
- The number of students who take only Choir is "17 - y."
Step 4: Use the given total number of students to form an equation.
- The total number of students is the sum of students who take only Math, only Band, only Choir, and students who take both classes.
- 9 + (11 - x) + (17 - y) + x + 3 + y = 57
Step 5: Simplify the equation and solve for "x."
- 40 - x - y + x + 3 + y = 57
- 43 - 57 = x
- -14 = x
Step 6: Interpret the result.
- The negative value for "x" indicates that no students take both Math and Band.
Therefore, the number of students who take exactly two classes with Mr. Green is 0.
18) You can make a stem-and-leaf plot as frequency table for "The chart below shows the average number of movies seen per person in selected countries. "
0 / . 5
1 / . 2 , . 3 , .3 , . 5
2 / . 2 , . 2 , . 2
3 / 0 , 0
4 / .5
19.) Mr. Green teaches band, choir, and math. This year, he has 57 students that take at least one of his classes. He teaches band to 25 students. There are 9 students who have Mr. Green for math and nothing else. Use the Venn diagram below: How many students take exactly 2 classes with Mr. Green?
Answer: 26 students take exactly 2 classes check the work below.
25 - ( 7 + 3 + 11) Use order of operations or pemdas
25 - ( 21 ) = 4 ** students who take both Band and Choir
Add 11 + 7 + 3 + 4 + 17 + 9 = 51
Subtract 57 - 42 = 15***Students take Math and Choir
Add 15 + 4 + 7 , these are the sections in the Venn Diagram where two circles share the same space.
15 + 4 + 7 = 26 ***** ANSWER
26 students take exactly two classes.
20.) Another stem-and-leaf plot problem.
| Percentage of
Countries | Households with Color Television
9| 3
6| 9
9| 5
8| 8
9| 4
6| 4
9| 2
8| 8
1| 00
9| 1
9| 7