Kenny is on the local swim team for the summer and has swim practice five days per week. The schedule is the same each day. The team swims in
the morning and then again for 3 hours in the evening. If he swims 30
hours per week, how long does he swim each morning. Write and solve
the equation. You must show the equation and solved solution in order to
receive credit. *

She swims for 3 hours each morning.

Step-by-step explanation:

To determine the number of hours that Kenny swims in the morning, it is necessary to perform the following equation, taking into account that he swims 5 days a week for a total of 30 hours a week, and that in the afternoon he swims for 3 hours:

X + 3 x 5 = 30

X + 3 = 30/5

X = 6 - 3

X = 3

Therefore, Kenny swims for 3 hours in the morning.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!