The pairs of numbers below represent the price of different quantities of books at 4 stores.
Which pair of numbers represents a proportional relationship?
o 4 books for $24,8 books for $40
o 5 books for $25, 6 books for $36
o 2 books for $14, 5 books for $35
o 3 books for $15, 7 books for $28

Option C: 2 books for $14, 5 books for $35

Step-by-step explanation:

A proportional relationship between two quantities would always have a constant of proportionality. Thus,

Constant of proportionality, k = y/x

In this case,

x = quantity of books

y = price

Let's see which pair will have a constant of proportionality:

Option A: 4 books for $24,8 books for $40

24/4 = 6;

40/8 = 5.

No constant of proportionality.

Option B: 5 books for $25, 6 books for $36

25/5 = 5

36/6 = 6

No constant of proportionality.

Option C: 2 books for $14, 5 books for $35

14/2 = 7

35/5 = 7

Constant of proportionality, k = 7.

This pair represents a proportional relationship.

Option D: 3 books for $15, 7 books for $28

15/3 = 5

28/7 = 4

No constant of proportionality.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

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.