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DanielleElmas [232]
3 years ago
14

A travel agency offers different getaways to New York. Plan A includes hotel accommodations for 3-nights and 2-pairs of baseball

tickets for $645. Plan B includes hotel accommodations for 5-nights and 4-pairs of baseball tickets for $1135. How much does a single hotel cost and how much does a single pair of baseball tickets cost?
Mathematics
1 answer:
fomenos3 years ago
7 0
3n(n stands for nights)+2b(b stands for baseball tickets)=$645
5n+4b=$1135
6n+4b=$1290
n=$1290-$1135
  =$155
b=($645-($155*3))/2
  =$90
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yawa3891 [41]
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4 0
3 years ago
How many edges must be removed from the wheel graph W6 in order to create a spanning tree for the graph?
sveticcg [70]

Answer:

The correct option is A.

Step-by-step explanation:

If a graph is formed by connecting a single universal vertex to all vertices of a cycle, then it is known as wheel graph.

W₆ means wheel graph having 6 vertices as shown in the below figure.

Total number of edges in a wheel graph is 2(n-1), where n is number of vertices. So, the number of edges in W₆ is

2(6-1)=10

In a spanning tree all the vertices covered with minimum possible number of edges. Total number of edges in a spanning tree is (n-1).

Total number of edges in a spanning tree which has 6 vertices is

6-1=5

The number of edges we need to remove is

10-5=5

Therefore the correct option is A.

5 0
4 years ago
Write the formula for a function d(x) that describes the distance between the point P and a point (x,y) on the line. You final a
vlabodo [156]

Answer:

d(x) = √[(x - 2)² + (3x - 1)²]

Step-by-step explanation:

The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, the distance between point (2,0) and a point (x,y)

d = √[(x - 2)² + (y - 0)²]

d = √[(x - 2)² + (y)²]

But the point (x,y) is on the line y = 3x - 1

We can substitute for y in the distance between points equation.

d(x) = √[(x - 2)² + (3x - 1)²]

QED!

6 0
3 years ago
If-2a &gt; 6, then<br> -a&gt;3<br> -a&lt;3<br> -a&lt;-3<br> -a&gt;-3
chubhunter [2.5K]

Answer:

a < - 3

Step-by-step explanation:

Given

- 2a > 6

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity, thus

a < - 3

5 0
3 years ago
1. What is the difference between 6 and 3<br> A. 6+3<br> B. 6-3<br> C. 6/3<br> D. 6x3
antiseptic1488 [7]

Answer:

B. 6-3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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