You have two fractions with the same (common) denominator, so you
subtract the numerators and put that over the common denominator.
12% would be bigger because it is a whole number other then the fraction.
Distributive property is in the form of:<span>
a (b+c) = ab + bc</span>
<span>
In this case, we try writing 47 as:</span>
47 = 50-3 or 47 = 40+7
Therefore:<span>
11 x 47 = 11 x (50-3) = 11 x 50 - 11 x 3 = 550 - 33 =
517
or
<span>11 x 47 = 11 x (40+7) = 11 x 40 + 11 x 7 = 440 + 77 =
517</span></span>
To figure out if the ordered pairs are a solution to the equations, you would need to plug in the points. Your points are ordered as (x,y)
You would plug in the number that's in the x spot in x, and the number in the y spot in y.
Let's start of with the first problem:
First thing you would do is plug in (-1) to x, and 6 to y.
Your equations would look like this:
6(-1) + 3(6) = 18
2(-1) + 6 = 7
What you would now do is solve the equations. When you solve them, you would get these answers
12 = 18
4 = 7
For #1, it would be no solution because the numbers do not equal each other. (Fun fact) If one of them ends up as a solution, but the other is no solution, the answer would be no solutions because BOTH of them have to be a solution to the equations given in order to be a solution.
If you do the same strategy, (plugging in the numbers to x and y), you would get the rest of the answers for the problems.
I hope this helps, if you need any more assistance, I would be glad to help!
Answer:
x = 70 degrees, red arc= 110 degrees
Step-by-step explanation:
x and 2x-30 added together is 180 degrees.
We can make an equation to find x,
x + (2x - 30) = 180
3x - 30 = 180
Add 30 to both sides to isolate x
3x = 210
By dividing both sides by 3, we get x = 70
Now we know the red arc is 2x - 30. We can plug x in because we know the value now.
2(70) - 30
140 - 30
Red Arc = 110 degrees
