ariana also has 33 other treats: barkies, poopsicles, and k9nies. she wants to distribute one piece of each among her 66 dogs. there are no restrictions on which or how many treats each dog may receive. in how many ways this can be done?

Answers

Answer 1

To distribute 33 treat to her 6 dogs Ariana has 1947792  ways

Since the order of distribution doesn't matter we will apply concepts of combination.

combination = nCr =n!/(r!(n-r!)

where n is the total number of objects

r is the number of chosen objects from the total.

Here, 33C6 =36!/6!.30!

= 36x35x34x33x32x31/6x5x4x3x2

1947792

Therefore, Ariana can distribute 33 treats between her 6 dogs in 1947792 ways.

Combination in mathematics is a way of choosing or distributing selected items from a list of the total set with distinct values. It is used when there is no repetition and order doesn't matter. It can also be depicted as permutation/r!

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Related Questions

find the precent change of 24 to 18

Answers

Answer:

25% decrease

Step-by-step explanation:

First find the amount of decrease  ( we know this is a decrease since it got smaller)

24-18) =6

Take this over the original amount

6/24 = 1/4 = .25

Change to percent form

25%

25% decrease

Answer:

25%

Step-by-step explanation:

We take

18 divided by 24, then times 100 = 75%

100% - 75% = 25%

So, it goes down 25%

Width

10x

– 50

What is the width of Todor's area model?

Width =

Answers

The width of Todor's area model is 5+3=8

The width of Todor's area model can be determined by factoring 10x² - 5x + 15. 10x², -5x, and 15 can be factored into

5(2x² - x + 3).

Since the greatest common factor of these terms is 5, Todor's area model can be represented as 5 multiplied by two rectangles.

The first rectangle would have a length of 2x² and a width of 5, and the second rectangle would have a length of x and a width of 3. Therefore, the total width of Todor's area model would be 5 + 3 = 8

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Correct question should be:

Todor was trying to factor 10x^(2)-5x+15. He found that the greatest common factor of these terms was 5 and made an area model: What is the width of Todor's area model?

how do I do 16 divided(1plus7

Answers

Answer:

If it's 16/(1+7) = 16/8 = 2, that'd be the answer

compare the momentum of a 6300-kg elephant walking 0.11 m/s and a 66-kg dolphin swimming 10.5 m/s?

Answers

Answer:

Step-by-step explanation:

Momentum = mass x velocity

Elephant Momentum = 6300 x 0.11

                                    = 693 kg m/s

Dolphin momentum = 66 x 10.5

                                 = 693 kg m/s

The momentum of the dolphin and the elephant are the same.

Write an equation for this line.

Answers

Answer:

y = 3x - 6

Step-by-step explanation:

The equation is y = mx + b  

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Let's pick 2 points (0, -6) (2,0)

We see the y increase by 6 and the x increase by 2, so the slope is

m = 6/2 = 3

y-intercept located at (0, -6)

So, the equation is

y = 3x - 6

I need help please!!

Answers

Answer:

f(2) = -1

f(x) = 1 the x value is equal to 0

Step-by-step explanation:

at f(2) we evaluate what the y value of the x is at the number given so when x =2 the y value is -1 so therefore f(2) = -1

For f(x) = 1 we do the opposite as we look for the x value for when y = 1 giving us the x value of 0.

Hope this helps

4x + y =13 and 5x- 3y= 12

Answers

Answer:

x= 3     y= 1

Step-by-step explanation:

4 * 3 (x)= 12 + 1 (y)= 13

5 * 3 (x)= 15 - 3*1 (y)= 15 - 3 (y)= 12

Both scenarios are now proven true.

What is the measure angle of L?

Answers

The angle in the capital letter "L" measures 90°, making it a right angle.

A right angle is one that is exactly 90 degrees, or half of a straight angle. There is usually a quarter turn in it. The fundamental geometric forms, rectangle, and square, each have four angles that measure 90 degrees.

When two lines cross, and there is a 90-degree angle between them, the lines are said to be perpendicular. A few examples of 90-degree angles in real life include the angle between the hands of a clock at 3 o'clock, the angles between two neighboring sides of a rectangular door or window, etc.

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If y varies inversely with x and y = 14 when x = 3, what is y when x is 7?

Answers

Answer: When two variables vary inversely, the product of their values is constant. This means that x * y = k, where k is a constant.

We are given that y = 14 when x = 3, so we can use this information to find the value of k:

k = x * y = 3 * 14 = 42

Now that we know the value of k, we can use it to find the value of y when x = 7:

y = k / x = 42 / 7 = 6

So, y = 6 when x = 7.

Step-by-step explanation:

The rectangular floor of a classroom is 40 feet in length and 38 feet in width. A scale drawing of the floor has a length of 20 inches. What is the area, in square inches, of the floor in the scale drawing?


HURRY! PLEASE!

Answers

The area, in square inches, of the floor in the scale drawing is, 300 inches²

What is the scale factor ?

Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes. Scale factor is a measure of similar figures. Those figures who look the same but are in different sizes.

For example, Two spheres look similar but could have different radii.

Given that,

The rectangular floor of a classroom is 40 feet in length

And 38 feet in width

length in scale drawing  =  20 inches

The area, in square inches = ?

Scale factor  = length in scale drawing/ length of floor

length in scale drawing = 20 inches

length of floor =  40 feet = 480 inches

Scale factor  =  20/480

                      =   1/24

Dimensions in scale drawing,

length of scale drawing =   length of floor x  Scale factor

                                       =   480 x 1/24

                                       =   20 inches

Width of scale drawing =  width of floor x  Scale factor      

                                       =   30 x 12 x 1/24

                                       =    15 inches

Area of scale drawing =  20 x 15

                                     =  300 inches²

Hence, the area is 300 inches²

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A tank initially contained 9 liters of water when Emily began to fill the tank with a water hose. The linear relationship between the number of liters of water in the tank and the time in minutes Emily has been filling the tank is represented in the table.

Which description of the slope of this relationship is true?
A.
The slope is 4 and represents the rate at which the water flows into the tank in minutes per liter.
B.
The slope is 4 and represents the rate at which the water flows into the tank in liters per minute.
C.
The slope is
11
2
and represents the rate at which the water flows into the tank in minutes per liter.
D.
The slope is
11
2
and represents the rate at which the water flows into the tank in liters per minute.

Answers

Slope is 4 and represents the rate at which the water flows into the tank in liters per minute.

The correct option is B.

What is linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

Given,

Tank has 9 liters water already

By the table

Amount of water is 17 liters in 2 minutes

But there was 9 liters of water already

So, the tank filled in 2 minutes = 17 - 9 = 8 liters

Tank filled per minute = 8/2 = 4 liters

Amount of water in the tank can be written as

y = 4x + 9

where x is number of minutes

comparing it with slope form of equation

y = m x + c

slope m = 4

Hence, 4 is the slope that represents rate of the flow of water into the tank in liters per minute.

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can somebody please help me? i have a test tomorrow and i’m confused. system of equations.

Answers

Answer: x=-3, y=-4

Step-by-step explanation:

System of equations is actually pretty simple.

Let me explain the two methods of solving a system of equations problem.

1. Elimination method

y-2x=2

-y=-x+1

In this approach, we will subtract or add the two equations together to eliminate one variable.

So in this problem, we'll organize -y=-x+1 like this:

x-y=1

Now we have

-2x+y=2

x-y=1

All we have to do now is add the two equations together and:

-x=3

x=-3

As you can see, the y variable is gone and we can find x by simply solving the rest.

Now we know that x=-3, let's plug in the value to get y.

x-y=1

-3-y=1

-y=4

y=-4

Therefore, x=-3, and y=-4

2. Substitution method

Let's go back to the problem.

y-2x=2

-y=-x+1

Now let's say that we will solve the problem using the substitution method.

In this approach, we will express one variable with the other.

So what we do is express y with x:

-y=-x+1

y=x-1

Now that we went through that process, we can plug in the y in the other equation:

x-1-2x=2

-x-1=2

-x=3

x=-3

Now that we now x=-3, let's plug that in to get y.

y=-3-1

y=-4

So the answer: x=-3, y=-4

Do you see the pattern?

System of equations problems are all about eliminating one variable and using the value of one to find the other.

Please let me know if there is anything else you're confused about.

Good luck with your exams!

How do you evaluate f (- 2?

Answers

Given a function, f(x), where you are asked “what is the value of f(-2)?” The question is simply asking you to plug in the value, -3, for x into the function, f(x), to find the value of f(x). f(x) is equal to y, so when you are plugging in a value for x you get a value for y.

2 whole number 1/2 divided by 1 whole number 7/8

Answers

Answer:4/7

Step-by-step explanation: The question isn't very clear, so I just did 1/2 divided by 7/8

a carpenter builds a frame from two 6-foot-long boards and two 8-footlong boards. given these side lengths, how can the carpenter ensure that the frame is a rectangle?

Answers

To ensure that the frame is a rectangle, the carpenter needs to make sure that opposite sides of the frame have the same length.

In other words, the two 6-foot-long boards must be opposite to each other and the two 8-foot-long boards must be opposite to each other.

This way, the carpenter can ensure that opposite sides of the frame are parallel and that the angles between these sides are right angles, which are characteristics of a rectangle.

Additionally, the carpenter could use a square or a measuring tape to check that the angles between the two sides of each length are 90 degrees. This will confirm that the frame is indeed a rectangle.

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An otter is floating down a river. The river has a current speed of 1 mile per hour (mph), and so the otter is also moving at a speed of 1 mph. At some point, the otter passes by a team of rowers rowing against the current, in the opposite direction of the otter. At some point, the rowers turn around and start rowing downstream. Four hours after passing each other the first time, the rowers and the otter pass each other again at the boathouse.

In still water, the rowers can row at a speed of 4 mph. How many miles did the rowers travel upstream between the time they first passed the otter and the time they turned around?

Answers

The rowers travelled 7.5 miles upstream.

What is Relative Speed?

We can define relative speed as the speed of a moving body with respect to another. When two bodies move in the same direction, their relative speed is computed by their difference. But when two bodies are moving in the opposite direction, the relative speed is calculated by adding the speed of both the bodies.

Given here: The speed of the rowers in still water as 4 mph but since they are rowing upstream their relative speed will be equal to 4-3= 3 mph and while in downstream their speed is 5 mph

Now the distance they travelled on both ends of the river is equal

let they reach the upstream end in x hours and travel downstream for 4-x hours then we have

3x=(4-x )× 5

3x+5x=20

x=20/8

x=2.5 hours

Thus the distance travelled is 2.5×3=7.5 miles

Hence, The rowers travelled 7.5 miles upstream.

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at a constant speed of 55 miles per hour, how many hours would it take to travel 1,320 miles?

Answers

Answer: 24

Step-by-step explanation:

Divide the 1,320 by the rate which is 55, and you get your answer.

how many ways can all 24 slices be distributed across all six people (including you)? assume, of course, that people are distinct, but that pizza slices all look the same and are indistinct.

Answers

There are 134596 ways to distribute 24 slices between 6 people

Since pizza slices are the same hence order doesn't matter and also people are distinct so it is a case of combination.

Combination in mathematics is a way of choosing or distributing selected items from a list of the total set with distinct values. It is used when there is no repetition and order doesn't matter. It can also be depicted as permutation/r!

combination = nCr =n!/(r!(n-r!)

where n is the total number of objects

r is the number of chosen objects from the total.

Now, 24c6=24!/6!18!

=24x23x22x21x20x19x18!/6!18!

=24x23x22x21x20x19/6x5x4x3x2x1

=134596

Therefore, There are 134596 ways to distribute 24 slices between 6 people

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What is the value of k for which the quadratic equation 3xsquare KX k 0?

Answers

Therefore, for the given quadratic equation, k has values of 0 and 12.

What is quadratic equation?

Any equation in algebra that can be written in standard form as where x stands for an unknown value, where a, b, and c stand for known numbers, and where a 0 is true is known as a quadratic equation.

Here,

A quadratic equation 3x² -k x + k = 0 has equal roots.

The value of k such that the equation has equal roots is,

1. The given quadratic equation is   3x² - kx + k = 0.  

2. For an equation to have equal roots the value of the discriminant is 0,  

=> The discriminant of a quadratic equation ax² + b x + c = 0 is given by the formula,  

=> Discriminant ( D ) =√(b²-4ac)

=> For equal roots D = 0.  

3. Substitute the values in the above formula,  

=>  D = 0,  

=> √[(-k)² - 4(3)(k)] = 0,

=> k² -12k = 0,

=> k(k-12) = 0,

=> k = 0 (OR) k =12.

Therefore, the values of k are 0 and 12 for the given quadratic equation.

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Complete question:

What is the value of K for which the quadratic equation 3x2-kx+k=0 has equal roots?

What are all the different ways the planners can arrange the pens for the horses and cows in the barn?

Answers

Answer:

la neta no se bro....................

What slope is parallel to x =- 3?

Answers

A line is parallel to x = -3 if and only if it has the same slope. The slope of a line perpendicular to x = -3 is undefined, because x = -3 is a vertical line, which has no slope. A vertical line is always parallel to itself.

What is 777x65 ?????????

Answers

50,505 is the answer

Answer:

50505

Step-by-step explanation:

this is the answer you can use calculator

How do i solve for x and y by step by step

Answers

Answer: you need to be more specific like give numbers how can i solve for x if i don't know what the problem is

Step-by-step explanation:

Find the slope of the line containing the given points
5) A(-2,2) and B(0,4)

Answers

The slope of the line with the given coordinates A(-2,2) and B(0,4) is 1.

What is the slope of the line with the given coordinates?

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given the data in the question;

Point A (-2,2)

x₁ = -2y₁ = 2

Point B (0,4)

x₂ = 0y₂ = 4

Plug the given x and y values into the slope formula and simplify.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( 4 - 2 )/( 0 - (-2) )

Slope m = ( 2 )/( 2 )

Slope m = 1

Therefore, the slope of the line is 1.

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in 1993, the moose population in a park was measured to be 3560. by 1998, the population was measured again to be 3460. if the population continues to change linearly: a.) find a formula for the moose population, p , in terms of t , the years since 1990. p ( t )

Answers

P(t)=20t+3660 is the formula for the moose population.

We will consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.

We have two points on the graph:(0,3560) and (5,3460)

Using the slope formula, we can find the slope of this line:

m=(y2 - y1)/(x2 - x1)  

Substituting the points in the slope formula:      

m=(3560-3460)/(5-0)

m=100/5                        

m=20                            

Now that we have the slope of the line, we can use the point-slope formula to find the equation for the line:

y - y1 = m(x - x1)                              

y - 3560=-20(x-5)                            

y-3560=20x+100                  

y =20x+3660

Since the formula that is being sought is supposed to be in terms of P and t, we get:

P(t) =20t+3660

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A group of friends wants to go to the amusement park. They have no more than $325 to spend on parking and admission. Parking is $13, and tickets cost $39 per person, including tax. Write and solve an inequality.

Answers

The inequality is 13 + 39x ≤ 325 and the solution is x ≤ 8

How to determine the inequality

Let's call the number of people in the group "x".

The total cost of parking and admission is no more than $325, so we can write the inequality:

13 + 39x ≤ 325

Subtracting 13 from both sides:

39x ≤ 312

Dividing both sides by 39:

x ≤ 8

So the group can have no more than 8 people if they want to stay within their budget of $325 for parking and admission.

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Find the inequality represented by the graph!

Answers

The inequality that is represented by the given graph is; y ≥ 2x - 5

How to find the graph Inequality?

The formula for equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

From the given linear graph, we see that the y-intercept is at y = -5

The slope is gotten by using two coordinates (3, 1) and (4,3) using the formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (3 - 1)/(4 - 3)

Slope = 2

Since the Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region, then this is ≤ or ≥ .

Now, the graph is shaded above the solid line which indicates greater sign and as such, the inequality is;

y ≥ 2x - 5

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the relationship between a condition or a variable and a particular consequence, with one event leading to the other, is known as select one: a. observation. b. causal logic. c. a correlation. d. an index.

Answers

The relationship between a condition or a variable and a particular consequence with one event leading to the other is called Casual logic.

Option(b) is the correct answer.

Causal logic is the term that refers to the relationship between the variable or the condition and also the specific consequences and it is also known as causality.

The code of ethics is one of the concepts which refers to the behavior or relationship in casual logic. It also explains the relationship between the effects and the causes.

A Causal Logic Model (CLM) is explained by a set of predicates and a set of formulas.

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What is the slope of the line that passes through the points shown in the table?

Answers

Answer:

The slope of the line that passes through the points on the table is 2

Step-by-step explanation:

To find the slope, first pick any two points on the table and plug it into [tex]m = \frac{y2 - y1}{x2-x1}[/tex]

where m is the slope.

For example, let's use (x2, y2) as  (2, 1) and (x1, y1) as (1, -1)

[tex]m = \frac{1-(-1)}{2 -1}[/tex]

[tex]m =\frac{1+1}{1}[/tex]

[tex]m=2/1[/tex]

m = 2

So the slope is 2.

Hope this helps!

Answer and work on how to solve it

Answers

Therefore , the solution of the given problem of triangle comes out to be the street is 0.24 kilometers long.

Describe the triangle.

A triangle is classified as a polygon since it has four or segments. It is a basic geometric form. Triangle ABC denotes a triangle having faces A, B, or C. Therefore, in Euclidean geometry, a single planar and square are produced where sides are not collinear. A triangle is a polygon if it has three sides or three corners. The points where a triangle's three sides come together are at its corners. Those three triangle angles add up to 180 degrees.

Here,

Given:

5th Avenue and 6th Avenue run parallel to one another.

The length of the main street between Fifth and Sixth Avenues shall be.

Now that we have used the triangle proportionality theory, we have:

=> 0.4 /x = 0.5/0.3

=> 0.4 - 0.3 = 0.5x

=> 0.5x = 0.12

=> x= 0.12/ 0.5

=> x= 0.24km.

The street is 0.24 kilometers long.

Therefore , the solution of the given problem of triangle comes out to be the street is 0.24 kilometers long.

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a biologist is studying how pollution affects algal growth and snail populations in a portion of lake erie. what level of the organization is she studying? Is the relation a function Read the excerpt of the following poem."Reflections on the State of Mind" By Olaudah EquianoWell may I say my life has beenOne scene of sorrow and of pain;From early days I griefs have known,And as I grew my griefs have grown:Dangers were always in my path;And fear of wrath, and sometimes death;While pale dejection in me reign'dI often wept, by grief constrain'd.When taken from my native land,By an unjust and cruel band,How did uncommon dread prevail!My sighs no more I could conceal.'To ease my mind I often strove,And tried my trouble to remove:I sung, and utter'd sighs betweenAssay'd to stifle guilt with sin.Olaudah Equiano was born in what is modern day southern Nigeria in 1745. Using your knowledge of what was happening in the world in the 1700s, what could you surmise from the bold-faced text that he author is referencing? Atlantic slave trade The bubonic plague World War II The Napoleonic Wars 2. George has a dilemma. Lennie has done something very wrong, but George is his friend, his best friend. It would be wrong and probably not possible for him to aid Lennie's escape, but he can't see his best friend spending his life in prison.At this point in the story, for which character, George or Lennie, do you have the most sympathy? Explain. Use details (quotes) from the novel to support your answer. Which five actors appeared with Chris Hemsworth in Snow White and the Huntsman? Sam and two friends put letters in envelopes on Monday.The three of them take two hours to put 600 letters in envelopes.Working at the same rate, how much longer would it take four people to put 1000 letters in envelopes than it would take five people?(4 marks) Baylee found the sweater she had been looking for on sale for 35% off. The original price of the sweater was $60. What is the sale price of the sweater now? Enter response here. ashley had 25 hair clips. 7 of them were blue and the rest were purple. what percent of the hair clips were purple. 28% is blue, and 72% is purple. What is the quotient when x3 5x2 3x 8 is divided by X 3? Does the vice president have the authority to declassify documents? EX. 23 C Supply the appropriate question tags. We shall travel today,........ NEED HELPThis graph shows a proportional relationship. What is the constant of proportionality?Enter your answer as a ratio in simplified form by filling in the boxes. why is the afc championship game at a neutral site Which of these is most important to include in a summary ofthis article?A. The reasons the U.S. did not endorse the agreementB. The number of children fighting in conflictsC. The number of countries already backing theagreementD. The requirements of the agreement For charity art exhibition, Jaime gave 12 paintings, Rob gave 8 and Fernando gave 5. a Write the numbers of paintings as a ratio. b What proportion of the paintings did each give? What drink gave immortality to those who drank it?A. MeadB. NectarC. XocolotlD. Green tea What is the factor of 8x2 12x? describe one unintended consequence of concentrated poultry feeding operations on the biodiversity in the chesapeake bay. Substances that are formed as a result of a chemical reaction are called -------- and are written on the ---------- side of the equation.A.productsB.Right hand Side all of the following are true of railroad expansion in the late nineteenth century except that itwas financed by private corporations without government assistance