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allochka39001 [22]
4 years ago
5

Tickets prices for a science museum are $18 for adults and $12 for students. If $162 is collected from a group of 12 people, how

many adults and students are in a group?
Mathematics
1 answer:
riadik2000 [5.3K]4 years ago
6 0
X=number of adults, y= number of students

x+y=12
18x+12y=162

You can simplify the second equation by dividing by six: 3x+2y=27
Rearrange the first equation: y= 12-x. Plug y into the simplified second equation:

3x+2(12-x)=27
3x-2x+24=27
x=3.

Plug the now known x value into y=12-x. So y= 9.
Therefore, there are 3 adults and 9 students.

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7 0
4 years ago
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. AB= 5x-15, BC=3x-5, and AC=28. Find AB
katrin2010 [14]

Answer: AB is 15

Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:

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4 0
3 years ago
Which is the graph of the function f(x)= negative square root x
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Thus, the only plausible graphs are 1 and 3 since they are below the x-axis.

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Note that the third graph has domain (-infinity, 0], so it is not the right one, while 1 is ok.


Answer: first graph  


6 0
3 years ago
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