The diagram shows a map of three land masses, numbered region 1, region 2, and region 3, connected via bridges over water. Each bridge can be traversed in either direction. (diagram is attached)

Show that there are 10 walking routes that start and end in region 2, crossing over water exactly twice. Assume each bridge, when crossed, is fully traversed to the next land mass.

The Diagram Shows A Map Of Three Land Masses, Numbered Region 1, Region 2, And Region 3, Connected Via

Answers

Answer 1

Answer:

Explanation

Step-by-step explanation:

If you look closely, every route connected to region 2 could go to either region 1 or 3, which each could go back to region 2 in 3 different formats. For example the top bridge of region 2, could go through region 1, then region 3 then to the middle bridge of region 2. This can happen for all three of the other route when going backs and works for all bridges in region 2.


Related Questions

I NEED HELP PLEASE! Thank you

Answers

Answer:

A

Step-by-step explanation:

21 -6×3

-6×3=-18

21-18

=3

#5: Consider the expression below. Which of the following numbers are coefficients? Select all that apply.

9x2 + 5x – 8 + 3x2

A. 9
B. 5
C. 8
D. -8
E. 3

Answers

Answer:

B

Step-by-step explanation:

the 5 in 5X.

Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. Write and solve a system of equations to determine the price of each bag of popcorn and the price of each pretzel.

Answers

Taking into account the definition of a system of linear equations, the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

x: price of each bag of popcorn. y: the price of each pretzel.

On one hand, Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25.   This is expressed by 2x+5y= 37.25

Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25.  This is expressed by 8x+9y=102.25

So, the system of equations to solve is:

[tex]\left \{ {{2x+5y=37.25} \atop {8x+9y=102.25}} \right.[/tex]

There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.

So, isolating the variable x from the first equation:

2x+5y= 37.25

2x= 37.25 - 5y

x= (37.25 - 5y)÷2

x= 18.625 - [tex]\frac{5}{2}[/tex]y

Replacing in the second equation:

8×(18.625 - [tex]\frac{5}{2}[/tex]y)+9y=102.25

Solving:

8×18.625 - 8×[tex]\frac{5}{2}[/tex]y+9y=102.25

149 - 20y + 9y=102.25

149 -11y= 102.25

-11y= 102.25-149

-11y= -46.75

y= (-46.75)÷ (-11)

y= 4.25

Finally, replacing in x= 18.625 - [tex]\frac{5}{2}[/tex]y and solving you get:

x= 18.625 - [tex]\frac{5}{2}[/tex]×4.25

x= 18.625 - 10.625

x=8

Remembering that x represents the price of each bag of popcorn and y represents the price of each pretzel, you get that the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.

Learn more about system of equations:

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State the y-coordinate of the yintercept for the function below.
f(x) = 4x^3-12x^2-x+15

Answers

Answer:

15

Step-by-step explanation:

let y = f(x)

substitute x = 0

y = 4(0)^3-12(0)^2-(0)+15 = 15

Edward deposited ​$6,000 into a savings account 5 years ago. The simple interest rate is 4​%. How much money did Edward earn in​ interest? Need answer in under 10 minutes

Answers

Answer:

,..................... 6000*12*5 %4 =630

Answer:

6240

Step-by-step explanation:

It's it 6,000+4% it's = 6240

(Will give 1,000 points!) Look at the two 3s in this number:


89.033


Which of these statements is true? Choose all that apply.


A

The blue 3 on the left is 300 times the value of the orange 3 on the right.


B

The blue 3 on the left is 100 times the value of the orange 3 on the right.


C

The blue 3 on the left is 10 times the value of the orange 3 on the right.


D

The blue 3 on the left is equivalent to the orange 3 on the right.


E

The orange 3 on the right is 1/10 of the value of the blue 3 on the left.


(And yes there are multiple answers!)

Answers

The only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"

This question bothers on place values.

Given the decimal value 89.033, the place value of the blue 3 on the left is the hundredth place (1/100) while the place value of the orange 3 is in the thousandth place(1/1000).

We need to check which of the statement is correct.

For the first option, the blue 3 on the left is 300 times the value of the orange 3 on the right;

1/100 = 300(1/1000)1/100 = 3/10

Since 0.01≠0.3, hence the first option is wrong

For the second option, the blue 3 on the left is 100 times the value of the orange 3 on the right;

1/100 = 100(1/1000)1/100 = 1/10

0.01≠0.1, hence the second option is wrong.

The blue 3 on the left is equivalent to the orange 3 on the right is also wrong since they are positioned in a different place

The orange 3 on the right is 1/10 of the value of the blue 3 on the left, is expressed as;

1/1000 = 1/10(1/100)0.001 = 0.001

Hence the only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"

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What is an equivalent expression to 14x^2 + 4y^3 - 3x^2 - 5 + 2y^3

Answers

Answer:

It’s C :)

Step-by-step explanation:

The solution is Option C.

The value of the equation is simplified as A = 6y³ + 11x² - 5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 14x² + 4y³ - 3x² - 5 + 2y³   be equation (1)

On simplifying the equation , we get

Adding the similar terms in the equation , we get

A = ( 4y³ + 2y³ ) + ( 14x² - 3x² ) - 5

Now , the value of A is

A = 6y³ + 11x² - 5

Therefore , the value of A is 6y³ + 11x² - 5

Hence , the equation is 6y³ + 11x² - 5

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12 for every 2 male birds in a bird cage there are 5 females. What is the ratio of the males to females

Answers

the ratio is two to five

2.5kg of potatoes cost 1.40
work out the cost of 4.25kg

Answers

Answer:

$2.38

Step-by-step explanation:

Proportions:

2.5 kg ⇔ $1.40

4.25 kg ⇔ $P

P = 4.25kg * $1.40 / 2.5kg

P = $2.38

can hellp me with this plzzzzzzz no links plz

Answers

400? I’m confused what you’re asking me to do !

How can probability be applied to decision making?

Answers

Answer:

ANSWER============================You can calculate the probability that an event will happen by dividing the number of ways that the event can happen by the number of total possibilities. Probability can help you to make better decisions, such as deciding whether or not to play a game where the outcome may not be immediately obvious.============================

#CarryOnLearning

Answer: Using Probability to Increase the Odds of success

Make y the subject of the formula
12m + 24y = 20

Answers

Answer: m=5/3-2y  or if your solving for y  y=-m/2+5/6

Step-by-step explanation:

Answer:

y = 5/6 - m/2

Step-by-step explanation:

4(3m + 6y) = 20

3m + 6y = 5

6y = 5 - 3m

y = 5/6 - 3m/6

y = 5/6 - m/2

Blair worked for 4 2/5 hours and earned $36.30. How much would she earn if she worked for 5 4/5 hours? Enter your answer in the box.

PLEASE HELP ASAPPPPP!!! I WILL GIVE BRAINLIEST AND 50 POINTS!!!

Answers

Answer:

$47.85

Step-by-step explanation:

4 2/5 in decimal form is 4.4

Using the equation hrs/money=x, 36.30/4.4=8.25

So, she gets $8.25 per hour

Then, 5 4/5 in decimal form is 5.8

So, 5.8*8.25=47.85

She gets $47.85 for working 5 4/5 hours

Answer:$47.85

Step-by-step explanation:

If you walked for 5 minutes, what would the ratio of feet to minutes be? Use your steps to minutes ratio from Task 1 to determine a ratio of feet to minutes. Show your calculation.

Answers

Answer:

2:1 RATIO

Step-by-step explanation:

If you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.

How did we get the value?

To determine the ratio of feet to minutes, we can use the steps to minutes ratio from Task 1. Let's find the steps-to-feet ratio first:

Steps:Feet

4:10

6:15

12:30

30:40

Now, let's calculate the steps-to-feet ratio by finding the average of the steps-to-feet ratio from all the given data points:

Average Steps-to-Feet Ratio = [(10/4) + (15/6) + (30/12) + (40/30)] / 4

Average Steps-to-Feet Ratio = (2.5 + 2.5 + 2.5 + 1.333) / 4

Average Steps-to-Feet Ratio = 2.1665

Now, for the question at hand, if you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.

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Three consecutive integers add up to 30. Which integers are they?​

Answers

Answer:

30 31 33 are the three integer consective

Which of the following expresses in sigma​ notation?

Answers

Answer:

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .

evaluate the expression when p = 4. p^2+5 no links pls ​

Answers

Answer:

21

Step-by-step explanation:

when p is 4

p² + 5 = 4² + 5

16 + 5 = 21

A man owns a store. One week he sells 100 loaves of bread. If he sells twice as many loaves the next week, how many loaves did he sell in total

Answers

Loaves sold on the first week=100
Loaves sold on the next=2(100)=200
Total number of loaves=200+100=300

Which of the following are valid names for the given triangle? Check all that
apply.

Answers

Answer:

A) AXT

C) TAX

F) XTA

=====================================

Explanation:

We name a triangle based on its corner points (aka vertex points). Those three points are A, T and X. The order doesn't matter so there are 6 ways to name this triangle and they are

ATXAXTTAXTXAXATXTA

The terms in bold are the final answers. Anything involving M or Y isn't part of the naming because we use the corner points only.

HELP URGENT!!! RESPOND QUICKLY!!!​

Answers

Answer:

i think x = 7 y = 11

Step-by-step explanation:

have a nice dae

A number is chosen uniformly at random from among the positive integers less than $10^8$. Given that the sum of the digits of the number is 9, what is the probability that the number is prime

Answers

Answer:

 

If the sum of the digits of a number is divisible by 9, then that number is divisible by 9. An..... sorry if this does not help :(

Step-by-step explanation:

Write the equation from the line whose slope and the point through which it passes are given. Express the equation in point-slope form. (8,-1) and slope m=-3

Answers

Answer:

y + 1 = 3(x - 8)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b ) = (8, - 1 ) , then

y - (- 1) = 3(x - 8) , that is

y + 1 = 3(x - 8)

PLS ANSWER QUICK I HSVE EXAMS COMING UP VERY SOON у
42) Which equation best represents the line of best fit for this
scatter plot?
A. y = 4x - 4
B.y= 4x-2
C. y = x-4
D. y=x-2
-5-4-3-

Answers

C
If we drew a line of best fit, the gradient would be roughly equal to 1, and the y intercept would be at around -4

Help please

Pleasssssse

Answers

Answer:

a) Draw a line horizontally on 4 on the y axis

b)x=2,y=3

Write the equation of the line that passes through (0,5) and is perpendicular to the line x = 3.

Answers

Answer:

(0,5)x3=(15,5)

Step-by-step explanation:

The computer monitor to the right has a length of 44 inches and
a width of 38 inches. Find the length of the diagonal. Round your
answer to the nearest hundredth.

Answers

Answer:

58.14 inches

Step-by-step explanation:

Pitagoras:

Diagonal² = length² + width²

Diagonal² = 44² + 38²

Diagonal² = 1936 + 1444

Diagonal² = 3380

√Diagonal² = √3380

Diagonal = 58.137 = 58.14inches

pls help (written response pls)

Answers

Answer:

It would be Number of Hours

Step-by-step explanation:

The word Dependent Variable means a number/something that relies on something else so the word "Number" Relies and something to follow it up and in this sentence it's "number of hours"

Hope this Helps :)

Round 68,533 to the nearest hundred.

Answers

Answer:

68,500

Step-by-step explanation:

68,533 <- Hundreds place is underlined

[] To round, we look at the number right the place. If it is less than 5, keep it the same. If it is five or greater , round up.

[] In this case it is a 3, so we keep it the same. We get an answer of 68,500

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update  my answer accordingly. (ノ^∇^)

- Heather

The answer is:

68,500

Explanation:

When counting, the digit 5 is in the hundredth place in the entire number.

For example:

$500 (five hundred dollars)
$6,500 (six thousand, five hundred dollars).

Therefore, whatever comes after the number 5 would become a zero.

1
The blue print of Vanessa's new home was drawn with a scale factor of 1 foot = 0.33 inch. The
actual length of the living room was to measure 12 feet. Determine the length of the living
room shown in the blueprint.

Answers

If 1 foot = 1/3 inch then 12 feet = 1/3 inch x 12=4 inches

The length of the living room in the blue print is 3.96 inch

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given question

We have,

1foot = 0.33 inch

The actual length of the living room =12feet.

Therefore,

The length of the living room in the blue print = 12 × 0.33 = 3.96inch

Hence, the length of the living room in the blue print is 3.96 inch.

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Gravitational force acts on all object in proportion to their masses. Why then, a heavy object does not fall faster than a light object?

Answers

Because force= acceleration x mass Acceleration is constant for a body of any mass since force is exactly proportional to mass.

Answer:

[tex]\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}[/tex]

The reason that a heavy body doesn't fall faster than a light body is because the greater gravitational force on the heavier body (its weight), acts on a correspondingly greater mass (inertia). The ratio of gravitational force to mass is the same for every body—hence all bodies in free fall accelerate equally.

hope helpful~

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