6x+3>3x+30
The thing about solving inequalities, you just need to treat the symbol, which is the less than symbol in this case, as an equal sign.
So our problem becomes: 6x+3=3x+30
Now we solve this like a normal algebra problem.
First, get all the variables on one side. Since 3x is smaller than 6x, we'll get rid of that by subtracting it from each side.
3x+3=30 is what we end up with.
Now to get the variable alone and get rid of that constant. To do that, we are going to subtract 3 from each side.
We end up with 3x=27
Now, to get the 'x' alone, we need to divide each side by 3.
x=9 is what we end up.
BUT WE FORGOT TO DO SOMETHING
We started this as an inequality problem, so we need to end it as an inequality solution.
Since there wasn't any negatives we need to worry about (Which is something else entirely) we just need to transfer the symbol we started with down.
x>9
Any Questions?
You have 22+3x/3x+7=2. That 3x/3x raises eyebrows; is this what you meant, with the result that 3x/3x = 1? or did you mean
3x
22 + ------------- + 7 = 2?
3x+7
If you meant the latter, then simplify the equation by subtracting 2 from both sides:
3x
27 + ---------- = 0
3x+7
Multiply all three terms by (3x+7), obtaining
27(3x+7) + 3x = 0
Then 21x + 3x + 189 = 0, so that 24x = -189, or x = -189/24 = -7 7/8
There are two equal sides of 8, which means this is an isosceles triangle. With an isosceles triangle, there are also two equal angles (30° each in this case). If angle C equals 30°, then angle B also equals 30°. Subtract angles B and C from the total degrees in a triangle.
Triangles Degrees= 180° total
Find angle A:
= total triangle degrees - < B - < C
= 180° - 30° - 30°
= 120°
ANSWER: Angle A is (B) 120°
Hope this helps! :)
Answer:
The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.
Step-by-step explanation:
We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.
A new poll of 500 likely voters will be conducted. In the new poll the proportion favoring the incumbent has not changed.
Let p = probability of voters preferring the incumbent = 66%
n = number of voters polled = 500
<u>So, the mean of the number preferring the incumbent is given by;</u>
Mean =
=
= 330 voters
<u>And, standard deviation of the number preferring the incumbent is given by;</u>
Variance =
=
= 112.2
So, Standard deviation =
=
= 10.59