If 3 pumpkins make 9 pumpkin pies, how many are needed to make 204 pies?

Answer:

you would graph (0,3) and (9,0)

Step-by-step explanation:

Consider the provided equation.

The x intercepts are the points where y value is zero. Similarly the y intercepts are the points where x values is zero.

In order to find the x intercept substitute y = 0 in the provided equation.

0=-1/3x + 3

-3=-1/3(x)

-9=-x

9=x

Thus, the x intercept is (9,0)

In order to find the y intercept substitute x = 0 in the provided equation.

y=-1/3(0) + 3

y=3

Thus, the y intercept is (0,3)

Now use the x and y intercepts to draw the graph of the equation.

The required graph is shown in figure 1.

Therefore, the x- and y- intercepts is (9,0) and (0,3)

The distance travel Rachelle in 1 hour (60 minutes) will be 3.75 miles.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Rachelle can walk 2.5 miles in 40 minutes.

Then the speed will be

Speed = 2.5 / 40

Speed = 0.0625 miles per minute

At this rate, distance travel Rachelle in 1 hour (60 minutes) will be

0.0625 = d / 60

d = 3.75 miles

The distance travel Rachelle in 1 hour (60 minutes) will be 3.75 miles.

More about the speed link is given below.

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Answer:

7

Step-by-step explanation:

12 on the bottom right is 1 up the 11 on the bottom left, so 7 must be the right answer.

1. an angle congruent to a given angle

2. x = 68, y = 75

3. corresponding angles

Answer:

Sampling Distribution

Step-by-step explanation:

A sample is a portion of the population chosen randomly or with certain techniques.

A statistic is a property of sample that describes the sample

Sampling distribution of statistic is a collection of all possible values of statistics for samples taken from the population. To be more precise it is probability distribution of all the outcomes of statistics of samples from the population.

Sample distribution of mean:

It can be defined as the probability distribution of all the feasible or possible means of samples of same size size taken from the population.

Answer:

Collinear, coplanar, and between the points

Step-by-step explanation:

Collinear means that the points are in the same line.

Coplanar means that the points are in the same plane.

Between the points is used when three points are in the same line an you want tro express that one of them is between the others.

So those three relationships can apply for the three points.

noncollinear not apply because it means that the points don't lie in a line.

maximum area is a square

the side of the square would be 52/4 = 13 feet

 area = 13*13 = 169 square feet

Answer:

Width = 13 ft

Maximum Area = 169 ft²

Step-by-step explanation:

Given: A rectangular dog pen whose fencing is 52 feet.

Let length be y and width be x

Fencing = 2(l+b)

52 = 2 (x+y)

x + y = 26

y = 26 - x

Area of rectangular pen = Length x width

                                        = y . x

                  [tex]A=x(26-x)[/tex]

                  [tex]A=26x-x^2[/tex]

It is parabolic equation. Maximum/Minimum at vertex.

[tex]x=-\dfrac{b}{2a}[/tex]

where, a=-1, b=26

[tex]x=\dfrac{26}{2}=13[/tex]

Now we put x=13 into A

[tex]A=13(26-13)[/tex]

[tex]A=169[/tex]

Hence, The width is 13 feet and Maximum area is 169 ft²

By factoring and simplifying the given polynomials, we found that the expressions simplify to r + 2. Therefore, the correct answer is option A. This process involves cancelling out common factors from the numerator and the denominator.

Polynomial Multiplication and Simplification

To solve the problem, we need to multiply the given rational expressions and simplify the result. The expressions are:

(r^2 + 7r + 10) / 3 and (3r - 30) / (r^2 - 5r - 50)

First, let's factor the polynomials where possible:

Now, the problem can be written as:

([tex](r + 2)(r + 5) / 3 ) * ( 3(r - 10) / (r - 10)(r + 5) )[/tex]

Next, we simplify by canceling out the common factors:

[tex]=( (r + 2)(r + 5) / 3 ) * ( 3(r - 10) / (r - 10)(r + 5) )[/tex]

The (r + 5) terms and the (r - 10) terms can be canceled:

[tex]= (r + 2) / 1[/tex]

So, the simplified answer is r + 2,

The correct  option is  A. r+2

[tex]\(f = \frac{3c - 55}{5}\)[/tex] is the solution for the given expression.

To solve the equation 3c - 5f = 55 for f, you need to isolate the variable f by performing a series of mathematical operations. Let's go step by step:

Start with the equation:  

3c - 5f = 55

Add 5f to both sides to move the term involving f to one side of the equation:  

3c = 5f + 55

Subtract 55 from both sides to isolate the term with f:  

3c - 55 = 5f

Now, divide both sides by 5 to solve for f:  

(3c - 55) / 5 = f

f = (3c - 55) / 5

So, [tex]\(f = \frac{3c - 55}{5}\)[/tex] is the solution for (f).

Cuharra studied for 52.5 minutes on Monday and 67.5 minutes on Tuesday.

To find out how long Cuharra studied on Monday and Tuesday, we can set up an equation. Let's say C represents the amount of time she studied on Monday. According to the information given, on Tuesday she spent an extra 15 minutes studying, which means she studied for C + 15 minutes. The total time she studied was 120 minutes. So, we can write the equation as C + (C + 15) = 120.

Now, we can solve this equation to find the values of C and C + 15. Combining like terms, we get 2C + 15 = 120. Subtracting 15 from both sides, we get 2C = 105. Divide both sides by 2, and we get C = 52.5.

Therefore, she studied for 52.5 minutes on Monday and 52.5 + 15 = 67.5 minutes on Tuesday.

Final answer:

Cuharra studied for 52.5 minutes on Monday and 67.5 minutes on Tuesday to make a total of 120 minutes of study time over the two days.

Explanation:

The question involves solving for the number of minutes cuharra studied on Monday and Tuesday. Since the total study time for both days is 120 minutes and she studied 15 minutes extra on Tuesday, we can set up two variables to represent the study times on each day. Let x be the number of minutes studied on Monday, then x + 15 will be the number of minutes studied on Tuesday.

To solve for x, we set up the equation x + (x + 15) = 120. Simplifying, we get 2x + 15 = 120. Subtracting 15 from both sides gives us 2x = 105. Dividing both sides by 2, we find that x = 52.5. Therefore, cuharra studied for 52.5 minutes on Monday and 52.5 + 15 = 67.5 minutes on Tuesday.

The regular polygon that could be used for tessellation is:

                             Triangle.

Tessellation is a geometry that is formed by a repeating pattern of same shape without any gaps.

We can use only three regular polygon for the formation of Tessellation:

1)  Equilateral Triangle

2) Square

3) Regular Hexagon.

Hence, from the given option the regular polygon that can be used to form a tessellation is:

                              Triangle.

Step-by-step explanation:

Let r₁ be the rate of filling of small pipe, r₂ be the rate of filling of large pipe  and V be the volume of swimming pool.

[tex]\texttt{Rate of small pipe},r_1=\frac{V}{t_1}\\\\\texttt{Rate of large pipe},r_2=\frac{V}{t_2}=\frac{V}{0.5t_1}=2r_1[/tex]

If both pipes are combined it takes 213 hours, that is

              [tex]t=\frac{V}{r_1+r_2}\\\\213=\frac{V}{r_1+2r_1}\\\\V=639r_1[/tex]

Now we need to find how much time it takes to fill the pool by large pipe,

That is

               [tex]t_2=\frac{V}{r_2}=\frac{639r_1}{2r_1}=319.5hours[/tex]

By large pipe only it will take 319.5 hours to fill the pool.          

The rule (x, y)→(x+2, y−4) represents a translation of 2 units right and 4 units down.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The rule (x, y)→(x+2, y−4)

As we know, when we go right side of the x-axis we add to the x-coordinate, and when we go left side of the x-axis we subtract to the x-coordinate.

The rule (x, y)→(x+2, y−4) represents a translation of 2 units right.

When we go upside of the y-axis we add to the y-coordinate, and when we go down the side of the y-axis we subtract to the y-coordinate.

The rule (x, y)→(x+2, y−4) represents a translation 4 units down.

Thus, the rule (x, y)→(x+2, y−4) represents a translation of 2 units right and 4 units down.

Learn more about the geometric transformation here:

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the solid line passes through (0,-3) and (0,9)

 dotted line passes through (0,-3) and (0,-1)

 see attached sketch

Answer:

The image shows the solution for the given inequalities.  

Step-by-step explanation:

We are given the following information in the question:

[tex]3y \geq x-9\\3x+y>-3[/tex]

We have to plot the solution for the given inequality.

The image attached shows the solution to the given inequalities.

The red shaded portion is the solution to the first inequality and the blue shaded region is the solution for the second inequality.

The common shaded portion is the solution common to both the inequalities.

The dotted blue line is not a part of the solution for both the inequality.

We are given that:

vi, initial velocity = 24 m/s

v, final velocity = 15 m/s

t, time = 12 s

The formula for acceleration is:

a = (v – vi) / t

a = (15 – 24) / 12

a = - 0.75 m/s^2                                (deceleration)

Final answer:

The equation 3(2x + 7) - 4 = 53 - 3x is solved through algebraic processes: distributing, combining like terms, transposing terms, isolating the variable, and dividing to solve for x, resulting in the solution x=4.

Explanation:

The justification for each step in solving the equation 3(2x + 7) - 4 = 53 - 3x involves algebraic manipulation:

Each step is justified by the rules of algebra which allow us to simplify and rearrange equations to isolate the variable. The final step gives us the solution x = 4.

A B) hexagon is the shape with 6 sides.

A hexagon is a polygon with six straight sides and six angles. In geometry, hexagons are commonly used in various designs and structures due to their symmetry and stability.

Regular polygon refers to a polygon with equal sides and equal angles, such as a hexagon. Hexagons have the property of being equilateral and equiangular, making them regular polygons.

Six Electron Groups form an octahedron, which is a polyhedron made up of identical equilateral triangles and has six identical vertices, showcasing the connection between the number six and geometric shapes.

Therefore, option B is correct.

Answer:

Step-by-step explanation: