There are white, blue, and red boats in a marina. Two-thirds of the boats in the marina are white, 4 7 of the remaining boats are blue, and the rest are red. If there are 15 red boats, how many boats are in the marina?

the number of boats that are in the marina is 105.

Step-by-step explanation:

Let x represent the number of boats that are in the marina.

Two-thirds of the boats in the marina are white. It means that the number of white boats in the marina is

2/3 × x = 2x/3

The remaining number of boats will be

x - 2x/3 = x/3

4/7 of the remaining boats are blue. It means that the number of boats that are blue is

4/7 × x/3 = 4x/21

The number of boats left would be

x/3 - 4x/21 = 3x/21

If there are 15 red boats, it means that

3x/21 = 15

3x = 21 × 15 = 315

x = 315/3

x = 105

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.