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Mathematics

1 answer:

crimeas [40]4 years ago

6 0

The answer is D. 12
4, 3 and 2 are all factors of 12 (least common denominator)

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Solve the inequality x + 2 1/2 > -1/2. Graph the solution set on a number line.show your work.

antiseptic1488 [7]

Answer:

x > - 3

Step-by-step explanation:

x + 2 $\frac{1}{2}$ > - $\frac{1}{2}$ First turn 2 $\frac{1}{2}$ into an fraction since its easier. So it becomes $\frac{5}{2}$

x + $\frac{5}{2}$ > - $\frac{1}{2}$

- $\frac{5}{2}$ - $\frac{5}{2}$ Do inverse operations, so subtract $\frac{5}{2}$ from both sides.

x > - $\frac{6}{2}$ Combine - $\frac{5}{2}$ with - $\frac{1}{2}$ , which gives us - $\frac{6}{2}$

x > - 3 Since we know that 6 divided by 2 is 3.

This would not allow me to attach an image so I am going to type a visual representation f what the graph would look like below)

<-------------O--------------------------------------------------->

-5 -4 -3 -2 -1 0 1 2 3 4 5

So, the number line would be a solid line rather than dashed (but I was not able to attach an image so I kind of had to improvise). When using ≥ ≤ sings the circle of the point is closed. When using < and > signs, the circle of the point is open. Thus, in this scenario since he sign is >, then the circle of the point is open. The direction of the arrow and ray for this equality is going to the right because the answer is that x is greater than - 3, Therefore any values greater than - 3 are a possibility which is why the arrow goes on indefinitely.

4 0

3 years ago

The length of the blue ribbon is two-thirds the length of the red ribbon. Write an equation to find the length r of the red ribb

vladimir2022 [97]

The equation to find the length r of the red ribbon is:

$r = \frac{3b}{2}$