Answer:
The population of the town at the end of 2017 was 65,550.
Step-by-step explanation:
The population of the town was 60,000 in the beginning of 2016.
In 2016, the total population is increased by 15%.
Therefore the population is increased by 9000 and the population of the town at the end of 2016 was
In 2017, the total population is decreased by 5%.
Therefore the population is decreased by 3450 and the population of the town at the end of 2017 was
Therefore the population of the town at the end of 2017 was 65,550.
Answer:
20. AB = 42
21. BC = 28
22. AC = 70
23. BC = 20.4
24. FH = 48
25. DE = 10, EF = 10, DF = 20
Step-by-step explanation:
✍️Given:
AB = 2x + 7
BC = 28
AC = 4x,
20. Assuming B is between A and C, thus:
AB + BC = AC (Segment Addition Postulate)
2x + 7 + 28 = 4x (substitution)
Collect like terms
2x + 35 = 4x
35 = 4x - 2x
35 = 2x
Divide both side by 2
17.5 = x
AB = 2x + 7
Plug in the value of x
AB = 2(17.5) + 7 = 42
21. BC = 28 (given)
22. AC = 4x
Plug in the value of x
AC = 4(17.5) = 70
✍️Given:
AC = 35 and AB = 14.6.
Assuming B is between A and C, thus:
23. AB + BC = AC (Segment Addition Postulate)
14.6 + BC = 35 (Substitution)
Subtract 14.6 from each side
BC = 35 - 14.6
BC = 20.4
24. FH = 7x + 6
FG = 4x
GH = 24
FG + GH = FH (Segment Addition Postulate)
(substitution)
Collect like terms
Divide both sides by -3
FH = 7x + 6
Plug in the value of x
FH = 7(6) + 6 = 48
25. DE = 5x, EF = 3x + 4
Given that E bisects DF, therefore,
DE = EF
5x = 3x + 4 (substitution)
Subtract 3x from each side
5x - 3x = 4
2x = 4
Divide both sides by 2
x = 2
DE = 5x
Plug in the value of x
DE = 5(2) = 10
EF = 3x + 4
Plug in the value of x
EF = 3(2) + 4 = 10
DF = DE + EF
DE = 10 + 10 (substitution)
DE = 20
With an equation you must isolate x or whatever the variable is. Operations are the things used to make the difference like +,-,x,/.
A great example of this is the following
4x-12=0
First add 12 to both sides making the equation go to
4x=12
now divide 4 from both sides making
x=3
Answer:
1. y = -125000x + 700000
2. Negative
3. Positive
Step-by-step explanation:
1. The no. Of gallons before irrigation
= 700000
After irrigation = 200000
This means that there was a reduction of 500000 gallons in 4 hours which indicates that 125000 gallons were used (on an average) in 1 hour
So the equation is
y = 700000 - 125000x
Hope this helps
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