Answer:
Step-by-step explanation:
The population in 2003= 47000
Since the population increase by 1200 every year,
in 2004 the population will be 47000+1200
in 2005 the population will be 47000+(1200+1200) which is the same as
47000+2(1200) where 2 is 2 years after 2003,
Therefore the population x years after 2003 is 47000+x(1200).
P= 47000+1200x
b) The population at 2009 which is 6 years after 2003 will be
47000+(1200)*6=47000+7200= 54200
The population at 2009 is 54200,
-2y-6-7y
-9y-6
I hope that this helps!
We are given ![\triangle ABC \cong \triangle EFG](https://tex.z-dn.net/?f=%5Ctriangle%20ABC%20%5Ccong%20%5Ctriangle%20EFG)
The order of the letter sequence is important. The letters pair up based on how they are arranged. We see that A and E are the first letters of the sequences. So this means that angles A and E are the same measure
angle A = angle E
3x+20 = 5x-80
3x-5x = -80-20
-2x = -100
x = -100/(-2)
x = 50
Use this x value to find the measure of angle A
angle A = 3x+20
angle A = 3(50)+20
angle A = 150+20
angle A = 170 degrees
<h3>Therefore, the statement "the measure of angle A is 45 degrees" is <u>false</u>.</h3>
John sold 10 hamburgers and 14 cheeseburgers.
Step-by-step explanation:
Given,
Cost of one hamburger = $3
Cost of one cheeseburger = $3.50
Total burgers sold = 24
Total revenue earned = $79
Let,
Number of hamburgers sold = x
Number of cheeseburgers sold = y
According to given statement;
x+y=24 Eqn 1
3x+3.50y=79 Eqn 2
Multiplying Eqn 1 by 3
![3(x+y=24)\\3x+3y=72\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=3%28x%2By%3D24%29%5C%5C3x%2B3y%3D72%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 3 from Eqn 2
![(3x+3.50y)-(3x+3y)=79-72\\3x+3.50y-3x-3y=7\\0.50y=7](https://tex.z-dn.net/?f=%283x%2B3.50y%29-%283x%2B3y%29%3D79-72%5C%5C3x%2B3.50y-3x-3y%3D7%5C%5C0.50y%3D7)
Dividing both sides by 0.50
![\frac{0.50y}{0.50}=\frac{7}{0.50}\\y=14](https://tex.z-dn.net/?f=%5Cfrac%7B0.50y%7D%7B0.50%7D%3D%5Cfrac%7B7%7D%7B0.50%7D%5C%5Cy%3D14)
Putting y=14 in Eqn 1
![x+14=24\\x=24-14\\x=10](https://tex.z-dn.net/?f=x%2B14%3D24%5C%5Cx%3D24-14%5C%5Cx%3D10)
John sold 10 hamburgers and 14 cheeseburgers.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
7.465
You could have saved some points and used a calculator! XD