Answer:
Sorry this is late and I think this is right.
They are both parallel, they have the same slope, and do <em>not </em>intersect. If you were to draw a slope out for it, you would find this to be true.
For example: Say the question called for you to explain why there aren't any solutions to these system of inequalities:
<em>y < - 1/2x -3</em>
<em>y > 1/2x + 2</em>
<em>y= -x/2 -3</em> and <em>y= -x/2 + 2 </em>have the same exact slope, are parallel, and never intersect. The first line is 5 units below the second line when x = 0. Because the lines are parallel, it is always below the second line. The solutions of y < - x/2 -3 are the points in the plane below the first line. The solutions of y > 1/2 + 2 are points above the second line.
I hope this helps you. Good luck on whatever you're working on and stay safe! Please let me know if this helped you or didn't.
Answer:
There are 32 dogs and 72 animals in total.
Step-by-step explanation:
In order to find the amount of dogs, you need to set up an equation to solve for the missing variable. Let 'c' be the amount of cats and 'd' be the amount of dogs. We know that there are 40 cats, so c = 40. We also know that there are 25% more cats than dogs, so we can form an equation to express this difference: 1.25d = c, indicating that the number of cats is equal to the total number of dogs, plus an additional 25%. Since we know c = 40, we can set our second equation equal to 40: 1.25d = 40. Using inverse operations, we divide both sides by 1.25 to get d = 32. So, d + c, or 32 + 40 = 72 total animals.
Answer:
Answer is C
Step-by-step explanation:
30x=100
/30 /30
x=3.333 or 3 1/3
30 times 3 and 1/3 equals 100
