Rossane puts 5/20 liters in her thermos and her brother drinks 8/20 liters so there is 17/20 liters left
Answer:
x=2.6
Step-by-step explanation:
26-2x=10-8x
-26 -26
-2x=-16-8x
+8x +8x
6x=-16
Divide both sides by 6
x=-2.6
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?
Answer:
S = 9
L = 12
H = 15
Step-by-step explanation:
So this is a system of equations. Fist, let's set up the legs.
L is longer, S is shorter and H is hypotenuse.
S = S
L = S + 3
H = S + 6
Now what equation relates all three sides of a right triangle. Pythagorean is the most obvious so let's use that.
S^2 + L^2 = H^2
S^2 + (S + 3)^2 = (S+6)^2
S^2 + S^2 + 6S + 9 = S^2 + 12S + 36
S^2 - 6S - 27
I am going to use completing the square
(S - 3)^2 - 36 = 0
(S - 3)^2 = 36
S - 3 = +/-6
S = +/-6 + 3
S = -3 or 9
Measures can't be negative so we will use 9. Plug it back into the original 3 equations.
S = 9
L = 9 + 3 = 12
H = 9 + 6 = 15
And the pythagorean theorem
9^2 + 12^2 = H^2
225 = H^2
15 = H
So it works.
Answer:
158.4 degrees.
Step-by-step explanation:
A line is 180 degress in total so subtract 21.6 from 180. Then you get 158.4