Nick has some quarters and dimes. He has 17 coins worth a total of $3.35. How many of each type
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The value of c, if a line with a slope of 3/4 that passes through the points (1,8) and (5,c), is 11.
<h3>What is the equation of a line?</h3>A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Given that the line has a slope of 3/4 and passes through the point (1,8). Therefore, we need to substitute the slope and the coordinates in the equation of the line, to get the value of the y-intercept.
y = mx + c
8 = (3/4)(1) + c
8 = (3/4) + c
c = 8 - (3/4)
c = 29/4
Now, the line also passes through (5,c), therefore, if we substitute the value of slope and y-intercept in the equation,
y = mx + c
c = (3/4)(5) + (29/4)
c = (15/4) + (29/4)
c = 44/4
c = 11
Hence, the value of c, if a line with a slope of 3/4 that passes through the points (1,8) and (5,c), is 11.
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The number of teenagers that liked Indian only is 11 students.
<h3>How to use Venn Diagrams?</h3>Counting students who liked Chinese and pizza
There were 35 teenagers altogether.
- 24 liked Chinese
- 16 liked Indian
- 10 liked pizza
Since all the students who liked pizza also liked Chinese, and no student liked all three, we can just think about the remaining 25 students.
Of these, 14 liked Chinese and 16 liked Indian.
Since each student liked at least one of these, and there are a total of 30 'likes', then 5 students must like both Indian and Chinese.
This leaves 11 students who liked Indian only.
Thus, we conclude that the number of teenagers that liked Indian only is 11 students.
Read more about Venn Diagrams at; brainly.com/question/24713052
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