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maria [59]
3 years ago
5

B is between A and C, if AB=2(x+1), BC=3x+1, and AC=4(x+2), find the value of AC

Mathematics
1 answer:
hoa [83]3 years ago
3 0
2x + 2 + 3x + 1 = 4x + 8

5x + 3 = 4x + 8

5x = 4x - 5

x = -5

therefore

4(-5 + 2)

4(-3)

-12

or

4(-5 + 2)

-20 + 8

-12

either way, it’s the same.

————

answer: AC = -12
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Source:http://www.1728.org/volpyrmd.htm

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Look at the figure below; what additional information do you need to have to determine if segment DE is the midsegment?
77julia77 [94]
1. If you knew that DE = \frac{1}{2}CB
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3 years ago
In a survey of 120 8th graders, 84 liked math, 73 liked science and 23 liked math but not science. how many students disliked bo
hammer [34]
24  
We can divide the 8th graders into 4 groups. They are: 
1. Like both math and science. 
2. Like only math. 
3. Like only science. 
4. Don't like either math or science.  
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We've been given 23 as the number of people who like only math (group 2).
And since we know that 84 people like math, that means that 84 - 23 = 61 people are in group 1. And since we know that 73 people like science, that means that 73 - 61 = 12 are in group 3. So of the 4 groups, we now know. 
1. Like both math and science (61 people).
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5 0
3 years ago
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Answer:

Step-by-step explanation:

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It costs $13 per student.  Again, this is a cost function, so since student is c, the cost for 1 student, 1c, is 13.  That relates the number of students to the cost of 1 student.

B.  The total cost for 4 adult and 24 students looks like this:

20(4) + 13(24) which is 80 + 312 = $392

C.  If you have 3 adults and 3 students in your group, the cost is 20(3) + 13(3) which is $99.  If you double the number of each, let's see if the cost doubles.  We will "up" the numbers to 6 each.  20(6) + 13(6) = $198.  Is $198 the double of $99.  Yes it is.  Let's do it again to check.  Let's double the 6.

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