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grin007 [14]
3 years ago
10

You a member of a friendship club. There are 8 members in your club. On the 8th day of each month, you have a friendship call. E

ach member of the club talks to every other member that day by phone. This way everybody expresses his or her friendship with each other. How many conversations occur on the 8th day of each month? How many conversations occur each year? Show how you figured this out. If the club adds four new friends, how many conversations will occur each month? Explain your solution. Another friend ship club likes your friendship conversation idea. The members of the other club want to know how they can figure out how many conversations will occur given any number of members. Explain how they can figure out the total number of conversations for each month.
Mathematics
1 answer:
Fofino [41]3 years ago
8 0
1. 8x8=64
2.64x12=768
3.8+4= 12. 12×12=144
4.they can times the amount people by every phone call to get their answer
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A square in a rectangle have the same perimeter. The length of a side of the square is 4x-1. The length of the rectangle is 2x+2
Thepotemich [5.8K]

The value x is 1, if the perimeter of square and rectangle are same. The perimeter of square and rectangle is 12 units.

Step-by-step explanation:

The given is,

                A square in a rectangle have the same perimeter

                The length of a side of the square is 4x-1

                The length of the rectangle is 2x+2 and width is 2x

Step:1

                Let, a - Side of square

                        l - Length of the rectangle

                       w - Width of the rectangle

Step:2

                Formula for perimeter of square is,

                                    p=4a.............................(1)

                Formula for perimeter of rectangle is,

                                   p=2(l+w)....................(2)

Step:3

                From given,

                            Equation (1) = Equation (2)

                                 4a = 2 (l+w)

               where,

                         a = 4x-1

                          l = 2x+2

                         w = 2x

               Substitute the values,

                       4 ( 4x-1 ) = 2 ( 2x+2+2x )

                            16x - 4 = 2 (4x + 2)

                            16x - 4 = 8x + 4

                          16x - 8x = 8                      

                                   8x = 8

                                     x = 1

Step:4

         Substitute the values of x,

                   a = 4(1)-1 = 3

                     l = 2(1)+2) = 4

                   w = 2(1) = 2

          Perimeter of square and rectangle is 12 units

Result:

           The value x is 1, if the perimeter of square and rectangle are same. The perimeter of square and rectangle is 12 units.

5 0
2 years ago
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