Answer:
x<4
Step-by-step explanation:
To solve for x in the inequality equation, the terms should be rearranged such that x is on one side and integers are on the other side.
First, expand 4(x-3).
This will obtain:

Now, shift x terms and integers on each side.

After simplifying, it will get:

Finally, we can solve for x.

We can also draw the respective graph (please don't mind my drawings), where the area shaded in green is the range.
Let’s say that the other one is described as X. So if one piece is twice as long as the other one, it’ll be 2x.
2x + X =111
3x = 111
3x divided by 3= 111 divided by 3
X= 37
So 2x = 2(37) = 74
X = 37
74
+ 37
————
111
8 out of 12 people were happy.
8/12 reduces to 2/3 of the people were happy.
Multiply the total people surveyed by 2/3:
126 x 2/3 = (126 x 2) /3 = 252/3 = 84
84 people were happy.
Answer:
x = -2
Step-by-step explanation:
since y is common in both equations, you can equate them to be equal
-2x² - 4x + 5 = 2x² + 4x + 5
4x² + 8x = 0
factor out 4x
4x(x + 2) = 0
divide both sides by 4x
x + 2 = 0
x = -2
Answer:
I promise you this is easier than it looks, just bare with me.
You have to order these numbers from the smallest to the biggest. Now before we do this, we wanna make the fractions and mixed numbers decimals to make this easier.
5 8/11
Convert the fraction to a decimal: Divide the numerator by the denominator. (8 divide by 11).
Add this decimal number to the whole number part of the mixed number. (0.72 plus 5)
It would be 5.72
Now 57/10
The same steps as the last one, but since it isn't a mixed number you don't add anything. (57 divided by 10)
It would be 5.7
Now we have to order them from least to greatest. How do we figure that out? Well lets list the numbers that we have now:
5.72
5.7
5.67
5.726
Now since they all have the same whole number, we just have to look at the numbers after the decimal. Well the least number we have here is "7". Then it would be 67, then 72, then 726.
So the answer would be from least to greatest:
5.7
5.67
5.72
5.726
I hope this helps..sorry if I took so long I wanted to make sure I explained this as good as I can so you don't keep struggling. Good luck, take care <3
Have a good night/day (:! Much love!