1. Solve for x. Show each step of the solution.
4.5(8- x) + 36 = 102 - 2.5(3x + 24)

2.Solve the inequality for x. Show each step of the solution.
12x >9(2x - 3)-15

3.Solve for b.
d=3a+3b

(1). x = -10 , (2). x < 7, (3). b = -a + 1/3d

Step-by-step explanation:

(1).          4.5 ( 8 - x ) + 36 = 102 - 2.5 ( 3x + 24 ) use distributive property

so 4.5 * ( 8 - x ) = 36 - 4.5x + 36 and bring the rest down = 102 - 2.5 ( 3x + 24 )

use distributive property again -2.5 * ( 3x + 24 ) = -7.5x - 60

36 - 4.5x + 336 = 102 - 7.5x - 60 add 36 to the 36 on the right side to the left side

72 - 4.5x = 102 - 7.5x - 60 subtract 102 - 60 = 42     72 - 4.5x = 42 - 7.5x

move the variable to the left-hand side and change its sign

72 - 4.5x + 7.5x = 42 now move the constant to the right-hand side and change its sign -4.5x + 7.5x = 42 - 72

now collect like terms which is 3x = -30 and divide 3 on both sides which gives u( x = -10 ).

(2).        12x>9(2x-3)-15 use distributive property

so 9*(2x-3) = 18x-7 and bring down the rest

12x> 18x-27-15 and calculate the difference which gives you 12x>18x-42

ion feel like doing the rest so imma just give the answers

2 is x<7 and 3 is b = -a + 1/3d

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !