Answer:
Third number is 12
Step-by-step explanation:
Let 
be common difference & 
be the third number. Set up the following equations:
Solve the simultaneous equation for x-term:
Let’s make sure that we get accurately answer. Substitute x = 12 in any equations which I’ll choose (1):
Now add each terms with common difference as 7:
-2+7 = 5
5+7 = 12
12+7 = 19
19+7 = 26
So our pattern is -2, <u>5</u>, <u>12</u>, <u>19</u>, 26. Since the question only asks for third number then the answer is 12
Answer:
10 cups
Step-by-step explanation:
I don't get your question, can u type it again more clearly? thanks
What you meant was the "commutative" property.
So we can say that when adding:
<em>"<u>Commutative</u> means that the order does not make any difference in the result."</em>
Example:
5 + 6 = 6 + 5
a + b = b + a
The commutative property does not hold for subtraction.
Example:
4 - 1 ≠ 1 - 4
a - b ≠ b - a
Ok, now does the commutative property hold true for multiplication?
2 x 3 = 3 x 2
2 x 3 x 4 = 4 x 3 x 2
Yes.
What about division?
12 ÷ 4 ≠ 4 ÷ 12
The commutative property does not hold for division.
So we need to find the two lines...y=mx+b where m is the slope and b is the y-intercept.
m=(dy/dx)=(7-6)/(3-1)=1/2 so
y=x/2+b, now I'll use (1,6) to solve for b
6=1/2+b, b=5 1/2=11/2 so
y1=(x+11)/2
now the other line...
m=(8-6)/(5-3)=2/2=1
y2=x+b, using point (3,6) we solve for b
6=3+b, b=3 so
y2=x+3
Since this is just two lines they will only intersect at a single point and when they do, y=y so we can say:
x+3=(x+11)/2
2x+6=x+11
x+6=11
x=5, now use either line to solve for the corresponding y value...
y2=x+3 becomes y=5+3=8 so the solution to this system is the point:
(5,8)
