Answer:

Step-by-step explanation:

You have to prime factorise 81 and then you will get <u>9</u> as the answer.
Given that the population can be modeled by P=22000+125t, to get the number of years after which the population will be 26000, we proceed as follows:
P=26000
substituting this in the model we get:
26000=22000+125t
solving for t we get:
t=4000/125
t=32
therefore t=32 years
This means it will take 32 years for the population to be 32 years. Thus the year in the year 2032
Answer:
Simplifying
9x + 7 = 5x + -3
Reorder the terms:
7 + 9x = 5x + -3
Reorder the terms:
7 + 9x = -3 + 5x
Solving
7 + 9x = -3 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
7 + 9x + -5x = -3 + 5x + -5x
Combine like terms: 9x + -5x = 4x
7 + 4x = -3 + 5x + -5x
Combine like terms: 5x + -5x = 0
7 + 4x = -3 + 0
7 + 4x = -3
Add '-7' to each side of the equation.
7 + -7 + 4x = -3 + -7
Combine like terms: 7 + -7 = 0
0 + 4x = -3 + -7
4x = -3 + -7
Combine like terms: -3 + -7 = -10
4x = -10
Divide each side by '4'.
x = -2.5
Simplifying
x = -2.5
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Step-by-step explanation:
The answer should be 1.80
Answer:
Hulian's age is 7.
Thomas's age is 22.
Step-by-step explanation:
Let Hulian = h
Let Thomas = t
Set the system of equation:
h = t - 15
h + t = 29
Plug in t - 15 for h in the second equation:
(t - 15) + t = 29
Simplify. Combine like terms:
2t - 15 = 29
Isolate the variable, t. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 15 to both sides:
2t - 15 (+15) = 29 (+15)
2t = 44
Divide 2 from both sides:
(2t)/2 = (44)2
t = 44/2
t = 22
Plug in 22 for t in one of the equations:
h = t - 15
h = 22 - 15
h = 7
Hulian's age is 7.
Thomas's age is 22.
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