Answer:
#1. Identity #2. 0 #3. No solution
Step-by-step explanation:
#1.
5y + 2 = (1/2)(10y+4)
5y + 2 = 5y + 2
This would be identity as the equation of the left and right are the same. This is not to be confused with no solution(explained below).
#2.
0.5b + 4 = 2(b+2)
0.5b + 4 = 2b + 4
0.5 b - 2b = 0
b = 0
#3.
-3x + 5 = -3x + 10
This equation has no solution because when you try to bring the -3x to one side, the x variable itself gets eliminated. So, how is it different from identity? Well in the first equation, it is true that when we try to bring the 5y one side it eliminates the y variable, however, that is also true for the constants(since if we try to bring the 2 to one side, it will be 2-2 which will equal 0, thus eliminating each other), but in this case, even if we remove the x, the constants will not equal 0, thus it will have no solution.
Answer:
7/3
Step-by-step explanation:
or, 3x/4 - 7/8 = 7/8
or, 3x/4=7/8+7/8
or, 3x/4 = (7+7)/8
or, 3x/4 = 14/8
or, 3x = (14/8)*4
or, 3x=56/8
or, 3x= 7
or, x=7/3
Answer:
16 children
Step-by-step explanation:
80% of 20 children comes out to 16 children who are of age 5.
If desired, rewrite "80%" as "0.80" and use that 0.80 as the multiplier of 20:
0.80(20 children) = 16 children.
Answer: 18
Step-by-step explanation:
80 - 44 = 36
36 / 2 = 18
Answer:
(a) 100 fishes
(b) t = 10: 483 fishes
t = 20: 999 fishes
t = 30: 1168 fishes
(c)

Step-by-step explanation:
Given


Solving (a): Fishes at t = 0
This gives:






Solving (a): Fishes at t = 10, 20, 30






Solving (c): 
In (b) above.
Notice that as t increases from 10 to 20 to 30, the values of
decreases
This implies that:

So:
The value of P(t) for large values is:



