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Alchen [17]
3 years ago
9

You are new in town and need to know how the streets flow in order to efficiently get around town. Your math friend decides to

Mathematics
1 answer:
BartSMP [9]3 years ago
7 0

Answer:

  1. The Fire Department and the School
  2. The Fire Department and the Hospital.

Step-by-step explanation:

On the matrix, a 1 represent the existence of a street between two buildings while a 0 indicates the absence of a street between any two building.

Let:

  • F represent the Fire department
  • S represent the School
  • H represent the Hospital
  • A represent the Apartment Building.

The heading by the side of the matrix is the <em>ith</em> entry while the headings on top is the <em>jth</em> entry. Movement is from ith position to jth position.

From the given matrix, the directed graph is presented in the attachment below.

From the graph, the following buildings have two-way streets between them.

  1. The Fire Department and the School
  2. The Fire Department and the Hospital.

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What are the possible steps involved in solving the equation shown? Select three options. 3.5 + 1.2(6.3 – 7x) = 9.38 Add 3.5 and
motikmotik

Answer:

1) Distribute 1.2 to 6.3 and -7x

2)Combine 3.5 and 7.56

3)Subtract 11.06 from both sides

Step-by-step explanation:

3.5 + 1.2(6.3 - 7x) = 9.38

Distribute 1.2 to 6.3 and -7x

3.5 + 1.2* 6.3 - 1.2 * 7x = 9.38

        3.5 + 7.56 - 8.4x = 9.38

Combine 3.5 and 7.56

11.06 - 8.4x = 9.38

Subtract 11.06 from both sides

11.06 - 8.4x -11.06 = 9.38 - 11.06

                    -8.4x = -1.68

To find solution:

Divide both sides by (-8.4)

-8.4x/-8.4 = -1.68/-8.4

 x = 0.02

8 0
3 years ago
Read 2 more answers
Your teacher asks you to find a recipe that includes two ingredients with a ratio of 1/2 cup/ 1/8 cup. a. give an example of two
Ksivusya [100]
A. Sugar And Brown Sugar (For Cookies)


B. No.

C 1/2 Cup (INGREDIENT) And 1/8 Cup (INGREDIENT)
7 0
3 years ago
1) A water park charges $5 for entry into the park and an additional $2 for each of the big waterslides. Steven spent $17 on his
777dan777 [17]
1.) The answer is A. 5+2x = 17. The x in the equation signifies the number of times Steven went to the big slides. The 5 represents the fixed cost of the slide. The total expenditure in the water park is 17 dollars, and the 2 represents the cost of using 1 big slide.

2.) The answer is still letter A. 5 +2x =17.
8 0
3 years ago
How do you convert a whole number to a fraction?
Maslowich

Answer:

Step-by-step explanation:

Example 1: Changing the whole number 5 into a fraction.

Take the whole number (5), add a line below it (/), then add a 1 to the denominator.

5 = 5/1

Example 2: Changing the whole number 5 into a fraction.

Take the whole number (5), multiply it by 2 add a line below it (/), then add a 2 to the denominator.

5 = (5*2)/2 = 10/2

***This can be reduced to 5/1***

Example 3: Changing the whole number 5 into a fraction.

Take the whole number (5), multiply it by 3 add a line below it (/), then add a 3 to the denominator.

5 = (5*3)/3 = 15/3

***This can also be reduced to 5/1***

If you follow the pattern, you will realize all whole numbers are fractions already.

They are fractions with a denominator of 1. This fraction can be manipulated with all of the same standard rules you would traditionally use with fractions, even when the denominator isn’t shown.

A fraction is simply a way to describe portions of a whole. The denominator simply tells you how many pieces to break the whole into. When the denominator is 1, you are breaking the whole into one piece (or not breaking it apart at all.

I hope this helps.

8 0
2 years ago
The circumference of a circle is 28 x inches. What is the length of the radius of this circle?
Gala2k [10]

Answer:

The answer to your questions radius = 14 in

Step-by-step explanation:

Data

Circumference = 28π in

radius = ?

Circumference is defined as the distance around the edge of a circle.

Formula

Circumference = 2π radius

-Solve for radius

radius = Circumference /2π

-Substitution

radius = 28π / 2π

-Simplification

radius = 28/2

-Result

radius = 14 in

7 0
3 years ago
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