The U. S Senate has 100 members. After a certain election, there were 14 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate?

There are 48 + 4 = 52 Democrats

Step-by-step explanation:

Let the number of Republicans be

x

.

There are

x

+

4

Democrats.

Thus,

x

+

(

x

+

4

)

=

100

⇒

2

x

=

100

−

4

⇒

x

=

96

2

=

48

There are 48 + 4 = 52 Democrats..

there were 43 people in republicans and 57 democrats

Step-by-step explanation:

100-14=86

86/2=

43

43+14=57

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.