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Monica [59]
3 years ago
7

A middle school took all of its 6th grade students in a field trip to see a ballet at a theater that has 4200 seats. The student

s filled 84 percent of the seats in the theater. How many 6th graders went on the trip?
Mathematics
1 answer:
Simora [160]3 years ago
7 0

630 students when on the trip
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Use the point-slope form to find the ewuation of the line through the points (-5,2) and (-2,6)
Morgarella [4.7K]

Answer:

The equation of the line through the points (-5, 2) and (-2, 6) is y = \frac{4}{3}\cdot x +\frac{26}{3}.

Step-by-step explanation:

The point-slope form of the equation of the line is defined by this formula:

y-y_{1} = m\cdot (x-x_{1}) (1)

Where:

x - Independent variable.

y - Dependent variable.

m - Slope.

x_{1}, y_{1} - Coordinates of the first point.

In addition, the slope of the line can be determined in terms of two distinct points:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} (2)

Where x_{2}, y_{2} are the coordinates of the second point.

If we know that x_{1} = -5, y_{1} = 2, x_{2} = -2 and y_{2} = 6, then the equation of the line is:

m = \frac{6-2}{-2-(-5)}

m = \frac{4}{3}

y-2 = \frac{4}{3}\cdot (x+5)

y = \frac{4}{3}\cdot x +\frac{26}{3}

The equation of the line through the points (-5, 2) and (-2, 6) is y = \frac{4}{3}\cdot x +\frac{26}{3}.

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A problem requires finding the distance traveled in miles. Which would not be a reasonable​ answer? Justify your response. A.  m
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Answer:

<em>A.   minus 10,</em>

Step-by-step explanation:

The distance travelled must be positive.

Therefore minus 10 would not be a reasonable answer.

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Erica was given $300 for her birthday and decided to put it in a savings account that earns 3.75% interest. If she makes no othe
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Answer:

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Rectangular Garden
vladimir2022 [97]

Answer:

The length, in feet, of the side of the garden that is against the wall is(60 - x - CD) ft.

Step-by-step explanation:

Consider the diagram below.

The wall is labelled as AD, the side perpendicular to the wall is labelled as AB and the side against the wall is labelled as CB.

It is provided that the rectangular garden is enclosed by  60 feet of fencing on three sides.

That is,

AB + CB + CD = 60 ft.

⇒ x + CB + CD = 60 ft.

Then the length, in feet, of the side of the garden that is against the wall is:

x + CB + CD = 60 ft.

⇒ CB = (60 - x - CD) ft.

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