Ken can walk 40 dogs in 8 hours how many dogs can ken walk in 12 hours

Answers

Answer 1

Answer:60

Step-by-step explanation:40/8 =5 so that means he can walk 5 dogs per hour and if you times 5 by 12 you get 60 as your answer.

Answer 2

Answer:

Ken can walk 60 dogs in 12 hours.

Step-by-step explanation:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other, the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

So, [tex]x=\frac{c*b}{a}[/tex]

In this case it is direct magnitudes, so that the three direct rule can be applied as follows: if Ken can walk 40 dogs in 8 hours, how many Ken dogs can he walk in 12 hours?

[tex]number of dogs=\frac{12 hours*40 dogs}{8 hours}[/tex]

number of dogs= 60

So, Ken can walk 60 dogs in 12 hours.


Related Questions


Kevin says that lines p and m will eventually intersect.

Is Kevin correct?

Answers

Yes, Kevin is correct

Answer:

no because they are parallel

Step-by-step explanation:

Find the volume of the figure. Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

Step-by-step explanation:

3.14 x 10.6^2= 352.81 pi

Answer is...

Volume = 4988.92

See attached photo

True or False: Validity of data refers to whether the data doesn’t measure what it claims to measure. True False

Answers

Answer:

It's False

Step-by-step explanation:

It does refer to whether the data measures what it claims to measure.

Hope i helped you!

NEED HELP ASAP!! Drag the tiles to the boxes to form the correct pairs. Not all tiles will be used. Match the function to its inverse. (See attachment below)

Answers

QUESTION 1

We have [tex]f(x)=\frac{2x-1}{x+2}[/tex]

Let [tex]y=\frac{2x-1}{x+2}[/tex]

Interchange x and y.

[tex]x=\frac{2y-1}{y+2}[/tex]

Solve for y.

First, cross multiply;

[tex]x(y+2)=2y-1[/tex]

Expand now:

[tex]xy+2x=2y-1[/tex]

Group the y-terms on the LHS

[tex]xy-2y=-2x-1[/tex]

Factor y on the left hand side;

[tex](x-2)y=-2x-1[/tex]

Divide both sides by (x-2).

[tex]y=\frac{-2x-1}{x-2}[/tex]

[tex]f^{-1}(x)=\frac{-2x-1}{x-2}[/tex]

[tex]\boxed{f(x)=\frac{2x-1}{x+2}\to f^{-1}(x)=\frac{-2x-1}{x-2}}[/tex]

QUESTION 2

Given: [tex]f(x)=\frac{x-1}{2x+1}[/tex]

Let  [tex]y=\frac{x-1}{2x+1}[/tex]

Interchange x and y.

[tex]x=\frac{y-1}{2y+1}[/tex]

Solve for y

[tex]x(2y+1)=y-1[/tex]

[tex]2xy+x=y-1[/tex]

[tex]2xy-y=-x-1[/tex]

[tex](2x-1)y=-x-1[/tex]

[tex]y=\frac{-x-1}{2x-1}[/tex]

[tex]f^{-1}(x)=\frac{-x-1}{2x-1}[/tex]

[tex]f^{-1}(x)=\frac{-x-1}{2x-1}[/tex]

[tex]\boxed{f(x)=\frac{x-1}{2x+1}\to f^{-1}(x)=\frac{-x-1}{2x-1}}[/tex]

QUESTION 3

Given : [tex]f(x)=\frac{2x+1}{2x-1}[/tex]

We let  [tex]y=\frac{2x+1}{2x-1}[/tex]

Interchange x and y.

[tex]x=\frac{2y+1}{2y-1}[/tex]

Solve for y;

[tex]x(2y-1)=2y+1[/tex]

[tex]2xy-x=2y+1[/tex]

[tex]2xy-2y=x+1[/tex]

[tex](2x-2)y=x+1[/tex]

[tex]y=\frac{x+1}{2x-2}[/tex]

[tex]f^{-1}(x)=\frac{x+1}{2(x-1)}[/tex]

[tex]\boxed{f(x)=\frac{2x+1}{2x-1}\to f^{-1}(x)=\frac{x+1}{2(x-1)}}[/tex]

Answer:

Step-by-step explanation:

SOMEONE PLEASE HELP ME ANSWER THIS​

Answers

Answer: 84

Step-by-step explanation:

7 x 3 x 4 = 84

It would be 84.

Hope this helps!

Pls tell me if it is inncorrect and i will revise my answer.

7•3•4=84

Select the correct answer. A coin is tossed 5 times in a row. What is the size of the sample space of this experiment? A. 5 B. 7 C. 10 D. 32

Answers

Answer:

32

Step-by-step explanation:

Number of times a coin is tossed up = 5

Number of possible outcomes in a toss of a coin = 2 ( Head or a Tail)

The sample space can be calculated by calculating total number of possible outcomes in 5 tosses of the coin.

Number of outcomes in 1 toss of a coin = 2

Number of outcomes in 2 tosses of a coin = 2 × 2

Number of outcomes in 3 tosses of a coin = 2 × 2 × 2

Number of outcomes in 4 tosses of a coin = 2 × 2 × 2 × 2

Number of outcomes in 5 tosses of a coin = 2 × 2 × 2 × 2 × 2

⇒ Total number of outcomes = 32

Therefore, Size of the sample space = 32

Answer:

I did the calculations and I also got 32.

Step-by-step explanation:

hope this helps!!

Which of these numbers is between 7 and 9?

A. √8
B. √79
C. 3√64

Answers

Answer: It has to be A. 8

Step-by-step explanation:

15) f(x) = 3x + 5
g(x)=-4x + 3
Find f(x) + g(x)
17) f(x) = 2x +4
g(x)= x - 5
Find f(x) - g(x)
how do u solve these equations?​

Answers

Answer:

15) f(x) + g(x)  = -x + 8

17) f(x) - g(x) = x + 9

Step-by-step explanation:

15)

f(x) = 3x + 5

g(x)= - 4x + 3

Find f(x) + g(x)

f(x) + g(x)  = 3x + 5  + ( - 4x + 3 )

f(x) + g(x)  = 3x + 5   - 4x + 3

f(x) + g(x)  = -x + 8

17)

f(x) = 2x +4

g(x)= x - 5

Find f(x) - g(x)

f(x) - g(x) = 2x +4  - (x - 5 )

f(x) - g(x) = 2x +4  - x +  5

f(x) - g(x) = x + 9

[tex]

f(x)=3x+5 \\

g(x)=-4x+3 \\

(f+g)(x)=f(x)+g(x)=(3x+5)+(-4x+3) \\

3x+5-4x+3=\boxed{-x+8} \\ \\

f(x)=2x+4 \\

g(x)=x-5 \\

(f-g)(x)=f(x)-g(x)=(2x+4)-(x-5) \\

2x+4-x+5=\boxed{x+9}

[/tex]

Hope this helps.

r3t40

The price of a gallon of unleaded gas was $2.83 yesterday. Today, the price rose to $2.88 . Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Final answer:

The percentage increase from yesterday's gas price to today's price is 1.8%.

Explanation:

To find the percentage increase from yesterday's price to today's price, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100.

The difference between $2.88 and $2.83 is $0.05. Dividing $0.05 by $2.83 gives us 0.0176. Multiplying by 100 gives us 1.76%. Rounding to the nearest tenth of a percent, the percentage increase is 1.8%.

4x – 2y=-1
-4x + 4y = -2

Answers

you just cancel out the x variable first since 4x-4x is 0 then you bring down your y variable and solve for x then you plug x into either equation then solve for x.

HELP!!!!!!!!!!!!!
Triangle PQR has vertices P(3,5), Q(-2,6) and R(8,-1). Give the coordinates of the vertices after the translation (x,y)——> (x+4,y - 5)

1. P’(_,_)
2.Q’ (_,_)
3.R’ (_,_)

Answers

Answer:

P'(7,0)Q'(2,1) R'(12,-6)

Step-by-step explanation:

P(3,5)------>P'(3+4,5-5)

P'(7,0)

Q(-2,6)----->Q'(-2+4,6-5)

Q'(2,1)

R(8,-1)------>R'(8+4,-1-5)

R'(12,-6)

Answer:

i think it is the third one c plz give me brainliest

Step-by-step explanation:

Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation? {–11, 3} {–3, 11} {–4, 4} {–7, 7}

Answers

Answer:

The solution of the equation are 3 , -11

Step-by-step explanation:

* Lets revise how to make the completing square

- The form of the completing square is a(x - h)² + k, where a , h , k

 are constant

- The general form of the quadratic is ax² + bx + c, where a , b , c

 are constant

- To change the general form to the completing square form equate

  them and find the constant a , h , k

* Now lets solve the problem

∵ x² + 8x = 33 ⇒ subtract 33 from both sides

∴ x² + 8x - 33 = 0

- lets change the general form to the completing square

∴ x² + 8x - 33 = a(x - h)² + k ⇒ solve the bracket of power 2

∴ x² + 8x - 33 = a(x² - 2hx + h²) + k ⇒ multiply the bracket by a

∴ x² + 8x - 33 = ax² - 2ahx + ah² + k ⇒ compare the two sides

∵ x² = ax² ⇒ ÷ x²

∴ a = 1  

∴ -2ah = 8 ⇒ substitute the value of a

∴ -2(1)h = 8 ⇒ -2h = 8 ⇒ ÷ (-2)

∴ h = -4

∵ ah² + k = -33 ⇒ substitute the value of a and h

∴ (1)(-4)² + k = -33

∴ 16 + k = -33 ⇒ subtract 16 from both sides

∴ k = -49

∴ x² + 8x - 33 = (x + 4)² - 49

* Now lets solve the completing square

∵ (x + 4)² - 49 = 0 ⇒ add 49 to both sides

∴ (x + 4)² = 49 ⇒ take square root for both sides

∴ (x + 4) = ± 7

∵ x + 4 = 7 ⇒ subtract 4 from both sides

∴ x = 3

∵ x + 4 = -7 ⇒ subtract 4 from both sides

∴ x = -11

* The solution of the equation are 3 , -11

Answer:

{-11, 3}

Step-by-step explanation:

Find the volume of the cone in terms of pi.

Answers

Answer:

how to find pi you have to add a lot of math and for a volume for the cone is V=πr2h 3

Step-by-step explanation:

i had did this all in my head.

What is the real part of the complex number 18 - 6i?
• i
• -6i
• 18
•-6

Answers

18 is the real part of the complex number

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

18

Step-by-step explanation:

Given a complex number z = a + bi

where a is the real part the imaginary part is b

Given

18 - 6i then 18 is the real part

The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −7
0 −1
1 5
g(x)
g(x) = 5x − 4

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)

Answers

Answer:

A.

⇒The slope of the function f(x) is greater than the slope of the function g(x).

This is so because using the slope intercept form equation, the slope of f(x) is 6 while that of g(x) is 5

B.

⇒The function f(x) has a greater y-intercept than the function g(x)

⇒The y intercept for the function f(x) is -1 where as that of the function g(x) is -4

Step-by-step explanation:

This question is on the standard equation of a linear function using the slope-intercept form

y=m x+c----------where m is the gradient/slope of the line and c is the y-intercept.

Given the values in function f(x) we can identify the points in the line as;

(-1,-7), (0,-1) , (1,5)............plot the points to obtain the graph as indicated in the attachment.

Find the gradient  of the graph ;

m₁=Δy/Δx

m₁= 5--1/1-0 =6/1 =6

Equation of line will be;

y-5/x-1 = 6

y-5=6(x-1)

y-5=6x-6

y=6x-1.........................m₁=6 and c₁= -1

Given that;

g(x)=5x-4.........................m₂=5   c₂= -4

⇒The slope of slope of the function f(x) is greater than the slope of the function g(x).

This is so because using the slope intercept form equation, the slope of f(x) is 6 while that of g(x) is 5

B.

⇒The function f(x) has a greater y-intercept than the function g(x)

⇒The y intercept for the function f(x) is -1 where as that of the function g(x) is -4

In the attached graph;

Red line graph, y=5x-4

Blue line graph, y=6x-1

Answer:

g(x) =   y=5x-4

f(x) =.    y= 6x-1

I know the slope of f(x) is greater than the slope of g(x) since the slope of f(x)=6 and g(x)=5 and 6>5.

I also know that the y-intercept of f(x) is greater because f(x)=-1 and g(x)=-4 and -1>-4.  

Step-by-step explanation:

First, I will put both functions into slope-intercept form.

Next, I will use  by picking two points on the table.  and

this equals  or 6.

So, I know the slope is 6.

To find the y-intercept I have to do, -7=6(-1)+b

So, the y-intercept is -1.

From this, I know the slope of f(x) is greater than the slope of g(x) since the slope of f(x)=6 and g(x)=5 and 6>5.

I also know that the y-intercept of f(x) is greater because f(x)=-1 and g(x)=-4 and -1>-4.  

How do you factor trinomials again...

Answers

Answer:

[tex]g^2+ 3g -10=(x-2)(x+5)[/tex]

Step-by-step explanation:

The trinomial is the following

[tex]g^2+ 3g -10[/tex]

Look for two numbers b and d that when multiplying them get as a result -10 and when you add up these numbers you get 3 as a result.

This is.

[tex]b * d = -10\\\\b + d = 3[/tex]

Then you can write the trinomial as the product of two factors:

[tex](x+b)(x+d)[/tex]

You can check that the numbers that meet this condition are:

[tex]b = -2\\d = 5[/tex]

Then the trinomial is written as

[tex]g^2+ 3g -10=(x-2)(x+5)[/tex]

kevin walked 3/4 of a mile in 12 minutes. assuming he walked at a constant speed the entire time, which expression can be used to determine the distance he walked each minute?

(Is it correct)

Answers

Answer:

Distance divided by time

I would say that’s correct

OOF yes it's correct...

a boat took 4 hours to make a trip downstream with a current of 6 kilometers/hour. The return trip against the same current took 10 hours. How far did the boat travel?

Answers

The boat traveled a distance of 80 km during the whole trip.

This question involves determining the distance a boat traveled based on its travel times with and against a current. Let's denote the speed of the boat in still water as b km/h.

Step-by-step solution:

Given data: Current speed = 6 km/h, Time downstream (with current) = 4 hours, Time upstream (against current) = 10 hours.Speed downstream = (b + 6) km/h.Speed upstream = (b - 6) km/h.The distance (d) traveled downstream is the same as upstream, so:

Downstream, distance d = speed × time = (b + 6) × 4

Upstream, distance d = speed × time = (b - 6) × 10

Since the distances are equal:

(b + 6) × 4 = (b - 6) × 10

Expanding and simplifying:

4b + 24 = 10b - 60

84 = 6b

b = 14 km/h

Now, using the downstream speed to find the distance:

Distance, d = (b + 6) × 4 = (14 + 6) × 4 = 20 × 4 = 80 km.

Thus, the boat traveled a distance of 80 km.

The boat traveled 80 kilometers.

To determine how far the boat traveled, let's denote the speed of the boat in still water as B km/h. The current speed is given as 6 km/h.

When traveling downstream, the effective speed of the boat is (B + 6) km/h.When traveling upstream, the effective speed of the boat is (B - 6) km/h.

Using the formula speed = distance/time, we get:

Downstream: (B + 6) = D/4Upstream: (B - 6) = D/10

We now have two equations:

4(B + 6) = D10(B - 6) = D

Setting the right-hand sides of these equations equal to each other:

4(B + 6) = 10(B - 6)

Simplifying this equation:

4B + 24 = 10B - 60

Bringing like terms together:

84 = 6B

Solving for B:

B = 14

Substituting B back into either distance equation, we use D = 4(B + 6):

D = 4(14 + 6) = 4(20) = 80

Therefore, the boat traveled 80 kilometers.

Steve leaves the beach at 3p.m. and drives along the highway at 55 mph. One hour later, his friend leaves the same beach, and drives along the same highway at 65 mph.
How many hours will it take his friend to catch up to Steve?

10 hours
5.5 hours
8.5 hours
55 hours

Answers

It will take Steve's friend 6.5 hours to catch up to Steve.

The correct answer is:

e) 6.5 hours.

To calculate this, let's first determine the time it takes for Steve's friend to catch up to him after he starts driving.

Steve's speed = 55 mph

Steve's friend's speed = 65 mph

Relative speed = Speed of Steve's friend - Speed of Steve

Relative speed = 65 mph - 55 mph = 10 mph

Now, since Steve's friend starts one hour later, Steve has already traveled for one hour at 55 mph before his friend starts.

Distance traveled by Steve in one hour = Speed × Time

Distance = 55 mph × 1 hour = 55 miles

Now, when Steve's friend starts driving, he needs to catch up this initial distance of 55 miles.

Time = Distance / Relative speed

Time = 55 miles / 10 mph = 5.5 hours

But we must remember that Steve's friend started driving one hour later than Steve. So, we add this one hour to the time calculated above to find the total time it takes for Steve's friend to catch up to Steve.

Total time = 5.5 hours + 1 hour = 6.5 hours

Therefore, it will take Steve's friend 6.5 hours to catch up to Steve.

Steve travels for one hour at 55 mph before his friend starts driving. By then, Steve's friend needs to catch up the initial distance of 55 miles at a relative speed of 10 mph. This gives us a time of 5.5 hours. However, since Steve's friend started one hour later, we add this one hour to the calculated time, resulting in a total time of 6.5 hours. Therefore, the correct answer is 6.5 hours.

Complete question:

Steve leaves the beach at 3p.m. and drives along the highway at 55 mph. One hour later, his friend leaves the same beach, and drives along the same highway at 65 mph.

How many hours will it take his friend to catch up to Steve?

a.10 hours

b.5.5 hours

c.8.5 hours

d.55 hours

e. 6.5 hours.

On Friday, a local hamburger shop sold a combined total of 420 hamburgers and cheeseburgers. The number of cheeseburger sold was three times tge number of hamburgers sold. How many hamburgers were sold on Friday?

Answers

Answer:

315 hamburgers

Step-by-step explanation:

Because 3 times the amount of hamburgers were sold than the cheeseburgers, it is fair to say that 420 burgers is 4 times the amount of cheeseburgers sold.

That means that 420/4 = 105 cheeseburgers were sold.

That means that 105 * 3 = 315 hamburgers were sold.

The total number of hamburgers sold on Friday is 105

How to find the number of hamburgers sold on Friday?

Number of Hamburgers sold = h

Number of Cheeseburgers sold = c

h + c = 420

c = 3*h

substitute the value of c in  ( h + c = 420 )

h + 3h = 420

4h = 420

h = [tex]\frac{420}{4}[/tex]

h = 105

The number of hamburgers sold is 105

To learn more about solving an equation using the substitution method, refer to:

https://brainly.com/question/11745624

#SPJ2

FACTOR: 36−(5+2a)^2
QUICKLY PLS!

Answers

36-(4+2a)^2=0

36-16+4a^2=0

4a^2+20=0

a^2+5=0 <— Factored form

Hello there i hope you are having a good day :)Question : FACTOR: 36−(5+2a)^2 Firstly you would do 36-16+4a^2=0  secondly 4a^2+20=0  As well you would lastly factored form it would be  = a^2+5=0  and that would be your answer.Hopefully that helps you.

There are 20 cups of flour in package of flour, how many muffins can i make from a package of flour if it take 1/4 cup?

Answers

Answer:

80 Muffins.

Step-by-step explanation:

There are 20 cups of flour in package

It takes [tex]\frac{1}{4}[/tex] cup to make one muffin

From a package of 20 cups of flour, you can make:

20 × 1 ÷ [tex]\frac{1}{4}[/tex] = 20 × 4 = 80 muffins

Jake is eating dinner at a restaurant. The cost of his meal, including sales tax, is m dollars. After leaving an 18% tip, the amount Jake pays at the restaurant is represented by the following expression in this expression, what does the term 0.18m represent?

m+0.18m

Answers

Answer:

It means meal cost plus the 18% tip

Step-by-step explanation:

Answer:

[tex]0.18m[/tex] represents amount of tip Jake pays to restaurant.

Step-by-step explanation:

We have been given that Jake is eating dinner at a restaurant. The cost of his meal, including sales tax, is m dollars.

Jake left an 18% tip. The amount Jake pays at the restaurant is represented by the following expression in this expression [tex]m+0.18m[/tex].

We know that Jake's total amount will be equal to cost of his meal plus 18% of the cost of meal.

[tex]\text{Total cost of dinner}=m+(\frac{18}{100}\times m)[/tex]

[tex]\text{Total cost of dinner}=m+0.18m[/tex]

Therefore, the term [tex]0.18m[/tex] represents amount of tip Jake pays to restaurant.

The circumference of a circle is 15centimeters. What is the area of the circle in terms of?
I can’t put the sign but it’s in the picture

A 0.53
B is wrong
C 56.25
D is wrong

Answers

Answer: 56.25

Step-by-step explanation:

You just need to use common sense.

Daniel looks at the prices of 5 guitars. The prices are $137, $159, $127, $188 and $680. These prices contain one extreme value ($680). Which measure of center should Daniel use to describe the prices?
A. Median
B. Range
C. Mean
D. Mean absolute deviation

Answers

Answer:

A. Median

Step-by-step explanation:

Mean and median both are used to measure the central tendency of a given data while range gives us the spread of the data roughly.

Mean is even affected by a single extreme value in the data while median gives us the central value of data even when there are extreme values.

The given set of five prices has one extreme value which will affect the mean. While median is a better option to measure the central tendency of data.

So Daniel will use median to measure the central tendency to describe the prices..

Step-by-step explanation:

Answer is A. Median by jesse

In the triangles, and . Which statement correctly compares the angles? Angle G is congruent to angle P. Angle G is smaller than angle P. Angle G is larger than angle P. Angle G is congruent to angle N.

Answers

Answer:

B) Angle G is smaller than angle P.

Step-by-step explanation:

It's logic, the only way the hypotenuse could be shorter is if the angle opposite of it is more acute.

I know that's a mouthful and probably sounds really weird but just trust me.

Would appreciate brainliest, new to brainly! good luck!

The correct option is, (B) Angle G is smaller than angle P.

It's logic, the only way the hypotenuse could be shorter is if the angle opposite of it is more acute.

What is called triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.A triangle is also a polygon.Some real-life examples of triangles include sandwiches, traffic signs, cloth hangers, and a rack in billiards.

What is triangle and its types?Triangles are shapes with three sides.There are different names for the types of triangles.A triangle's type depends on the length of its sides and the size of its angles (corners).There are three types of triangle based on the length of the sides: equilateral, isosceles, and scalene.

What is triangle shape?In Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices.The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees.This property is called angle sum property of triangle.

Learn more about triangle here:

brainly.com/question/1058720

#SPJ2



Find the value of x

A.
38
B.
62
C.
102
D.
150

Answers

Answer:

x=62

Step-by-step explanation:

You set the two angles equal to each other and solve. See work attached for more.

Answer:

A.  38

Step-by-step explanation:

From the diagram, [tex]s=(2x+26)\degree[/tex] because corresponding angles are equal.

[tex]s+(3x-36)\degree=180\degree[/tex]. the sum of interior angles of a triangle.

By substitution, we obtain;

[tex](2x+26)\degree+(3x-36)\degree=180\degree[/tex]

Group similar terms;

[tex]2x+3x=180+36-26[/tex]

[tex]5x=190[/tex]

Divide both sides by 5.

[tex]x=38[/tex]

Evaluate C(8, 8).


0

1

n

8

Answers

Answer: Second Option

C(8,8)=1

Step-by-step explanation:

We must calculate a combination

The combination [tex]C (n, r) =\frac{n!}{r!(n-r)!}[/tex]

Where n is the number of elements that you can combine and you choose "r" from them.

So

C (8, 8) is the combination of 8 in 8.

Therefore

[tex]n = 8\\r=8[/tex]

[tex]C(8,8)= \frac{8!}{8!(8-8)!}\\\\C(8,8)=\frac{8!}{8!(0)!}\\\\C(8,8)=\frac{1}{1*1}\\\\C(8,8)=1[/tex]

The answer is the second option

The value of  [tex]\( C(8, 8) \)[/tex]  is 1 because choosing all 8 items from 8 yields only 1 combination.

The expression [tex]\( C(8, 8) \)[/tex] represents choosing 8 items from a set of 8 items without regard to order, which is also known as a combination. Here's how we can evaluate it step by step:

Step 1: Recall the formula for combinations.

The formula for combinations is [tex]\( C(n, k) = \frac{n!}{k!(n - k)!} \),[/tex] where [tex]\( n \)[/tex] is the total number of items and [tex]\( k \)[/tex] is the number of items to choose.

Step 2: Substitute the values into the combination formula.

In this case, [tex]\( n = 8 \) and \( k = 8 \),[/tex] so the expression becomes:

[tex]\[ C(8, 8) = \frac{8!}{8!(8 - 8)!} \][/tex]

Step 3:

Simplify the expression.

[tex]\[ C(8, 8) = \frac{8!}{8!0!} \][/tex]

Step 4:

Recall that [tex]\( n! = n \times (n - 1) \times (n - 2) \times \ldots \times 1 \)[/tex] and [tex]\( 0! = 1 \).[/tex]

[tex]\[ C(8, 8) = \frac{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \times 1} \][/tex]

Step 5:

Cancel out the common terms.

[tex]\[ C(8, 8) = \frac{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1} \][/tex]

[tex]\[ C(8, 8) = 1 \][/tex]

So, [tex]\( C(8, 8) = 1 \).[/tex]

The radius of a circle is three meters. What is the circle’s diameter

Answers

The diameter of a circle is the radius times 2.

Diameter = 3 x 2 = 6 meters.

Answer:

6 is the answer.

3 x 2 = 6

Step-by-step explanation:

A student pulls out a marble from a pag containing blue, green, and red marbles. He records the color and places it back into the bag The table below shows the frequency of
each color after 100 marbles are pulled out
Color of Marbles Blue Green Red
Number of Draws 13 29 58
How many green draws can you expect if the marbles are pulled out 1,000 times?

Answers

Answer:

Answer is B - 290.

Step-by-step explanation:

The idea here is that we're assuming the frequency each colour is drawn is a reflection of the proportion of marbles in the bag that are that colour. The more of a particular colour you have, the more likely you are to draw it, and vice versa.

Therefore we can assume the proportion of blue, gree, and red marbles is 13%, 29%, and 58% respectively based on the first 100 draws.

These percents should stay relatively similar as more draws are done, approaching the true proportions of each colour better the higher the number of draws. That means 29%, or 290, of the 1000 draws will be green.

Answer: 290

Step-by-step explanation:

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