On an island there are 7 cities each 2 of them connected by a direct road they are building a 8th city they also want it to connect with the other 7 existing cities how many roads will there be after they build the 8th city

Answers

Answer 1

Answer:

After the 8th city is built there will be 28 roads between the cities

Step-by-step explanation:

The given parameters are;

The number of cities initially on the island = 7 cities

The number of roads between each 2 cities = 1 road

Therefore, we have the number of roads between the 7 cities are;

7 cities taking 2 at a time = ₇C₂

[tex]_7C_2 = \dfrac{7!}{(7 - 2)!\cdot 2!} = 21[/tex]

The initial number of roads between the 7 cities = 21 roads

The number of roads, 'n' there will be after the 8th city is built is therefore;

[tex]n = _8C_2 = \dfrac{8!}{(8 - 2)!\cdot 2!} = 28[/tex]

The number of roads there will be after the 8th city is built, n = 28 roads.


Related Questions

If the buses run on schedule, when is the next time a red line and a blue line bus will leave together? Show your work.

Answers

Answer:

So the next time they will leave together is 4:24 pm

Step-by-step explanation:

Since both the buses left at 4 pm and red line bus leaves every 6minutes and blue line bus leaves every 8 minutes they next time they leave together can be found by taking the L.C. M of 6 and 8.

The L.C. M is found by multiplying all the factors and chosing one which common in both numbers.

Factors of 6 = 2*3

Factors of 8= 2*2*2

In these numbers 2 is common in both.The rest of the numbers( 2*2*3 )are multiplied with the the common 2 to get the L.C.M

L.C.M= 2*2*2*3= 24 minutes

So the next time they will leave together is 4:24 pm

helpppp helping my sister

Answers

Answer:

i wanna say scalene is the first and thrid triangle. The second one is the 5th triangle and the rest go into the last catigorrie

Step-by-step explanation:

Daria makes and sells stuffed toys she uses special fabric to cover a funky to make a number two how much fabric did Daria use to make this number cube

Answers

The question is incomplete as the side lengtb of the cube isn't given. Taking the side length to b

be a value, x

Answer:

Step-by-step explanation:

Given that :

The side length = x

To obtain the amount of fabric which would be required for covering the funky, we Obtian the total surface area of the foam. Cube.

Using he relation :

Surface area of a cube = 6 * s² ; the side length s = x

Surface area = 6 * x².

Hypothetically,

Let x = 7 cm

E

Plsss help me on this

Answers

Answer:

Pretty sure it is Product of Powers Property

Step-by-step explanation:

Makayla has $8 to buy tickets at the school fair. Each ticket costs $1.50. Which inequality
best represents how many tickets she can buy?
n = number of tickets

Answers

Answer:

Third option is correct. Hence, N<5 is the best inequality that represents the number of tickets she can buy with $8

Step-by-step explanation:

Need help with math!!

Answers

It is B because it is going to multiply the x and 4 (3 times)

Plz help, And no links please


List all the possible rational zeros of the function f(x)=x^2-5x+12

Answers

I did not get any zeros since the graph doesn’t cross the x axis, meaning that there are no rational zeros

However, here is the method u can use to find the zeros lol


You can use the quadratic formula in order to get the zeros

This is the equation therefore use these values
ax^2+bx+c=0

A=1
B= -5
C=12

The quadratic formula is -b±√(b^2-4ac))/2a (I left a picture just in case)

Rhea draws rows and columns on a big piece of paper to make 16 same-sized squares. How many rows and columns does she draw? I

Answers

Answer:

4 rows and 4 columns

Step-by-step explanation:

Given

16 same sized squares

Required

Determine the number of rows and columns

Since the shape formed is a square, then the following relationships exist:

[tex]Row * Column = 16[/tex]

[tex]Row = Column[/tex]

[tex]Row * Column = 16[/tex] can then be rewritten as:

[tex]Row * Row = 16[/tex]

[tex]Row^2 = 16[/tex]

Take square roots of both sides

[tex]Row = \sqrt{16[/tex]

[tex]Row = 4[/tex]

[tex]Row = Column[/tex] implies that:

[tex]Row = Column = 4[/tex]

explain how your know that 88is a solution to the equation 1/8 R = 11 complete the sentences
The word solution means to
88 is a solution to 1/8 R = 11 because

Answers

Answer:

In this equation R would equal 88 because it satisfies the equation.

Step-by-step explanation:

You must solve for R by isolating the variable(which is R). To move the 1/8, multiply both sides by 8. You would do this because 8 is the reciprocal of 1/8. With R on it's own, to keep both sides equal multiply 11*8. That equals 88, which satisfies the equation, which is why 88 is the solution.

Hope this helps :)

0.73 recurring can be writeen as 11/15

Answers

Answer:

yes , see explanation

Step-by-step explanation:

We require 2 equations with the recurring 3 placed after the decimal point.

let x = 0.7333..  ( multiply both sides by 10 and 100 )

10x = 7.333... → (1)

100x = 73.333.... → (2)

Subtract (1) from (2) , eliminating the recurring 3

90x = 66 ( divide both sides by 90 )

x = [tex]\frac{66}{90}[/tex] = [tex]\frac{11}{15}[/tex]

A rectangle has a length of 2x+3 and a width of 10x-4. Find the perimeter and area of the figure

Answers

Step-by-step explanation:

perimeter is 4x+6 +20x-8=20x-2

area is 20x^2+22x-12

Please help me with the answer to these. The second picture goes along with the first

Answers

39 cents that would be the answer for your question hopefully

I did my best to fit it all lol, can someone please help? <3

Answers

Answer:

8a. 0 8b. -1/3

Step-by-step explanation:

slope formula: [tex]\frac{y_{2} - y_{1}}{x_{2} - x{1}}[/tex]

8a. => (8 + 12)/(17 - 17) = 20/0 = 0

8b. (1 + 2)/(-3 - 6) = 3/-9 = - 1/3

Answer:

8a: 0 8b: -1/3

Step-by-step explanation:

slope is y2-y1/x2-x1

8a: 8+12/0=0

8b: 1+2/-3-6=3/-9=-1/3

7x + 2y - 3 = 0 in slope intercept form.

Answers

Answer:

y=(-7/2)x+3

Step-by-step explanation:

7x+2y-3=0

7x+2y=3

2y=-7x+3

y=(-7/2)x+3

Answer:

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )

2y = - 7x + 3 ( divide each term by 2 )

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form

If P(A) = .24 and P(B) = .52 and A and B are mutually exclusive, what is P(A or B)?
(a).1248
(b).28
(c).6352
(d).76

Answers

The Answer is D) 76

Pls help I have this homework !! bye I will mark you the best or brainliest!!

Answers

Answer:

90-54w

Step-by-step explanation:

18(5−3w)=  

18*5=90 , 18*3w= 54w =  

so simplified it would be = (90-54w)

Please mark me as brainliest :D

If the probability that it will rain
tomorrow is 3/8, what is the
probability that it will not rain?

Answers

Answer:

5/8

Explanation: 8/8 - 3/8 = 5/8

Answer:

0.625

Step-by-step explanation:

1-3/8 total probability is 1 thus you take the probability that it will rain from 1 and get the answer

Dishwasher detergent is sold in individual packs is sold in 20, 60 and 90 pack containers which container do you think has the lowest unit rate of dollars per pack and why

Answers

Answer:

I think 90

Step-by-step explanation:

Would help if you provided more information

I believe 90, not sure though

Ellen has a balance of $15,000 on her car loan and an interest rate of 2.75%. To pay off the $15,000 in five years, Ellen will have to make a minimum payment of $267.87. If Ellen pays $434.57 per month she can pay off her auto loan in 3 years instead. How much more will Ellen pay if she takes 5 years to pay off her loan instead of 3 years?

Answers

Answer:

347$

Step-by-step explanation:

balance of 15000$

loan 2.75%

minimum 267.87

434.57 per month

=347$

can someone please help me asap ill give extra brainly points!!!

Answers

95.20 is the answer

Answer:

94.20 yds

Step-by-step explanation:

C = 2 pi r

     2 pi (15) = 94.20 yds

write the following quotient in scientific notation:

Answers

Answer:

0.7

Step-by-step explanation:

GIVING BRAINLIEST!!!!!

What type of triangle is shown in the image?

Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle

Answers

Answer:

Well wheres the image?

Step-by-step explanation:

Answer:

Obtuse triangle

Step-by-step explanation:

Someone said so

Alyssa has 30 pencils, where 60% of the pencils are sharpened. How many sharpened pencils does Alyssa have?

Answers

Answer:

18 sharpened pencils

Step-by-step explanation:

Total = 30 pencils

100% = 30 pencils

1% = 30 ÷ 100 = 0.30

60% = 0.30 x 60 = 18

Answer:

18 sharpened pencils

Step-by-step explanation:

the percent 3/5 can be multiplied by 6 to give u 18/30

In a survey taken 6/10 of students chose to attend in person learning on Mondays. 3/10 of students chose Tuesdays. How many students chose Monday or Tuesday?

Answers

Answer:

9/10 students chose Monday or Tuesday.

or

90% of students chose Monday or Tuesday

Explanation:

We add both fractions 6/10 + 3/10 which equals 9/10

the ratio of dog to cats in the shelter was 4 to 6 if there were 12 cats how many dogs would there be

Answers

Answer:

8 dogs

Step-by-step explanation:

If there were 6 cats, there would be 4 dogs. Since there is double that amount of cats, then we just double the amount of dogs from 4 to 8, our final answer.

I would appreciate Brainliest but no worries.

What is
7.5% tax on
a $18
sweater?

19.35 or 1.35

Answers

Answer:

$1.35 will be your answer

Step-by-step explanation:

18 x 0.075 = 1.35

Answer:

[tex]1.35[/tex]

Step-by-step explanation:

7.5% of 18$ is 1.35.

It would make no sense if the tax cost more than the actual item.

7. If each pet had received 9 votes, what would the mode have been?

Answers

Answer

Step-by-step explanation:

if they all recieve the same amount of numbers then there is no visable mode because they all recieve the same numbers

also dont go to the link that the other person just posted its a scam

what's the area of the circle

Answers

Answer:

3.14

Step-by-step explanation:

pls help me out what up

Answers

Answer:

Answers are below

Step-by-step explanation:

29. 3(4x-5) + 4(2x+6)

Solution: 20 + 9

30. -8(2a - 3b) - 5(6b - 4a)

Solution: 4 − 6

31. 10(5g + 2h - 3) - 4(3g - 4h + 2)

Solution: 38 + 36ℎ − 38

hope this helps :) Let me know if you need any further explanations.

11. Oliver had $10. On his birthday, he received $25. Use the equation below to find how much money Oliver has now. equation: 10 + 25 = m *

Answers

Answer: 35

Step-by-step explanation:

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