X = first child
x +2 = 2nd child
x+ 4 = 3rd child
It doesn't matter if the ages are odd or even - there is two years between each child in age.
The sum would be
x + x + 2 + x + 4 or 3x + 6.
Lets try it with a sample age. Let's say the youngest is 5 middle is 7 and oldest is 9
The sum of their ages is 21 (5 + 7 + 9)
Using our answer of 3x + 6 where x is the age of the youngest child, we get
3(5) +6 which is also 21.
This could also be solved by having x represent the middle age child
x-2 is the youngest (2 years less than the middle)
x = the middle
x+2 is the oldest (2 years older than the middle)
The sum of these would be x-2 + x + x +2 or simply 3x (the 2's cancel out)
Since the middle child is 7 3x would mean 3 (7)=21
You could also set this up using x for the oldest child
x= oldest
x-2= middle
x-4= youngest (The sum of this is 3x - 6)
3 (9) -6 is also 21.
C is the answer c is the answer
With Elimination system:
Substract -4x + y = -1 with -2x + y = 1
and... the result: 2x = 2, so x = 1
Subtitution: -2x + y = 1
⇔-2 . 1 + y =1
⇔ -2 + y = 1
⇔y = 3
The final answer is D ( 1, 3)
Answer:
Tennessee
Step-by-step explanation:
First, let's find out how much tax he paid...
$695.49-$649.99=$45.50
We can use this to set up an equation...
x%(649.99)=45.50
We can convert x% to x/100 since any percentage is just that number over one hundred...
Multiply 100 to both sides
Divide both sides by 649.99
This is closest to 7 (our answers is not exact since you can only have two decimal places in money), therefore he lives in D. Tennessee
2^5 is the correct answer