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fgcherubin
23.01.2020 •
Mathematics
All of the 4th grade teachers and students from cambridge went on a field trip to an art museum. tickets were $5.50 per teacher and $3.00 for each student. this group paid $29.00 in total. the next month, the same group visited a science museum where the tickets were $22.00 for teachers and $11.50 for students. the group paid $113.00 in total. find the number of teachers and students on the field trips.
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Ответ:
Students= 6
Teachers= 2
Step-by-step explanation:
Given: Art museum trip:
Cost of ticket= $5.5 per teacher and $3 per student.
Total amount paid= $29.
Science trip:
Cost of ticket= $22 per teacher and $11.5 per student.
Total amount paid= $113.
Lets assume number of teacher be "x" and number of students be "y".
Now, forming an equation for cost of each trip.
we know, total cost=![cost\ of \ each\ ticket \times numbers\ of\ tickets](/tpl/images/0467/1541/9f22a.png)
∴Art museum trip,
---- 1st equation
Science museum trip,
---- 2nd equation
Next using elimination method to find number teacher and students
Multiplying both side of 1st equation by 4
∴![22x+12y= 116\\22x+11.5y= 113](/tpl/images/0467/1541/d1b5c.png)
changing sign of 2nd equation on both side and solving it.
∴![0.5y= 3](/tpl/images/0467/1541/63b85.png)
Dividing both side by 0.5
Hence, number of students on field trip was 6.
Subtituting the value of y in 1st equation to find the number of teachers in field trip.
⇒![5.5x+3\times 6= 29](/tpl/images/0467/1541/ace31.png)
⇒![5.5x+18= 29](/tpl/images/0467/1541/f7467.png)
Subtracting both side by 18
⇒![5.5x= 11](/tpl/images/0467/1541/08bc0.png)
Dividing both side by 5.5
⇒![x= \frac{11}{5.5}= 2](/tpl/images/0467/1541/fd6d1.png)
Hence, there were 2 teachers on field trips.
Ответ:
Step-by-step explanation:
A)
these are the intervals of people who are at least adults and are mature enough to take the survey seriously and answer correctly.
B)
You can say with 95 percent certain of the real mean of the population, but you acknowledge that due to difficulties such as, sampling error, real-life problems such as bad weather, bad vision of the surveyed, not knowing the language and due to bad wording, your answers are unsure is the range of 8 percent due the fluctuation of data caused by bad circumstances.
C)
I believe there should be a quota of 50 to 50 percent to make the data the most equal, though I understand that there may not be an equal distribution of land and cell lines among the U.S. mature populace.
D)
(Since I don't have the data, I can't answer part 4)