Of the 600 people at a music festival, 420 had attended the previous year. How many peopleout of 100 had attended the previous year?

Answer: 2X + 3Y = 24 is Y = (-2/3)X + 3.

Step-by-step explanation:

To find the equation of a line parallel to the line 2X+3Y=24 and passing through the point (3,1), we need to follow these steps:

1. First, let's rearrange the equation 2X+3Y=24 into slope-intercept form, which is Y = MX + B, where M is the slope and B is the y-intercept.

2X + 3Y = 24

3Y = -2X + 24

Y = (-2/3)X + 8

2. The given line has a slope of (-2/3). Since the line we want to find is parallel, it will have the same slope. Therefore, the equation of the line passing through (3,1) will also have a slope of (-2/3).

3. Next, we can use the point-slope form of a line to find the equation. The point-slope form is given by:

Y - Y1 = M(X - X1)

where (X1, Y1) is the given point (3,1), and M is the slope (-2/3).

4. Plugging in the values, we have:

Y - 1 = (-2/3)(X - 3)

5. Simplifying the equation further, we get:

Y - 1 = (-2/3)X + 2

6. To obtain the equation in slope-intercept form, we can isolate Y by adding 1 to both sides:

Y = (-2/3)X + 2 + 1

Y = (-2/3)X + 3

Therefore, the equation of the line that passes through the point (3,1) and is parallel to the line 2X + 3Y = 24 is Y = (-2/3)X + 3.

Answer:

Option (1)

Step-by-step explanation:

Given linear inequalities in the graph are,

y < 2x + 3

Here shaded area above the solid line represents the inequality,

And shaded area on the right side of the dotted line represents the solution set of the inequality,

y < 2x + 3

And the solution set of the system of linear inequalities will be represented by the common area of these inequalities.

Therefore, ordered pairs (2, 2), (3, 1) and (4, 2) will lie in the common shaded area.

Option (1) will be the answer.

Final answer:

The best linear model to represent the town's population could be either P(t) = 1.12t + 0.20 or P(t) = 1.12t + 0.02, depending on the specific data in the scatter plot. Both these options follow the general form of a linear equation.

Explanation:

The question is related to a scatter plot, linear equation, and population study. We're looking to determine the best linear equation that models the town's population from 2000 to 2019 based on the given scatter plot. The general form of a linear equation is y = mx + b, where m represents the slope (rate of change), and b is the y-intercept (starting value). Typically, in this kind of scenario:

• 't' would be the years after 2000,
• 'm' would represent the rate of change of the population, and
• 'b' would be the starting population.

Without the actual scatter plot, it's impossible to choose the most accurate option. However, options A & D are most likely because they conform to the general form. Option A, P(t) = 1.12t + 0.20, and Option D, P(t) = 1.12t + 0.02, are both viable options depending on the specific data presented in the scatter plot.

Learn more about Linear Equation here:

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Answer:

P(t)=1.12t+0.20

Step-by-step explanation:

Hope it helps lov

Answer:

19/15

Step-by-step explanation:

Answer:

b = 3Vh

Step-by-step explanation:

When they ask to solve for b, you are essentially rearranging the equation so that b is alone on one side.

V = 1/3bh

(V)(3) = (1/3bh)(3)

3V = bh

(3V)/h = (bh)/h

3Vh = b

b = 3Vh

Answer:

Sorry for being late it is 3.5 Or In a mixed Fraction 3

Step-by-step explanation:

I took the test Hope this helps :D