Sean has 20 days to paint as many plays houses and sheds as he is able. the sheds can be painted at a rate of 2.5 per day, and the play houses can be painted at a rate of 2 per day. he has 45 structures that need to be painted.

n = # of days

45 = 2.5n + 2n

45 = 4.5n

n = 10

He can paint 45 structures in 10 days

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: