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yuradex [85]
1 year ago
11

There are 221 students on a field trip.

Mathematics
1 answer:
Liono4ka [1.6K]1 year ago
4 0

The equation that models the students is a linear equation

The equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36

<h3>How to determine the equation?</h3>

The given parameters are:

Students = 221

Van = 5

The rest students = 6 buses

Start by calculating the number of students remaining:

Remaining students = 221 - 5

Remaining students = 216

Represent the number of students in each bus with x.

So, we have:

6 buses * x  = Remaining students

This gives

6x = 216

Divide both sides by 6

x = 36

Hence, the equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36

Read more about linear equations at:

brainly.com/question/15602982

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We have been given a table of values of a function. We are asked to determine whether the given function is linear or nonlinear.

We know that a function is linear when its rate of change (slope) is constant.

Let us find slope for each of the given points using slope formula.

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-3-0}{4-1}=\frac{-3}{3}=-1

Similarly, we will find the slopes using other given coordinates.  

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Since the rate of change for each set of points is -1, so the rate of change is constant.

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[100 POINTS] What is the measure of the arc from A to B that does not pass through C?
Nana76 [90]

Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.

<h3>What is the Inscribed Angle Theorem?</h3>

Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).

m∠BAC = 40 degrees.

Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]

Corresponding arc BC = 80 degrees.

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Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.

Learn more about the inscribed angle theorem on:

brainly.com/question/3538263

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Find the area round to two decimal places as needed
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To find the area of an obtuse triangle you have to multiply the base of the triangle by the vertical height and divide the result by 2 following the formula:

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The area of the triangle is 28 square miles.

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