Answer:
18 in
Step-by-step explanation:
(4.5)(4)=18
Side Length * Sides = 18 in
Answer:
See Below
Step-by-step explanation:
3 out of 5 of the 60 total blocks are red, that means every 3 of 5 random we take would be RED.
That is 3/5ths of 60 are red. We multiply and figure out.
So we can say there are 36 red blocks from the total 60 Blocks.
Briana needs to make a design that uses 32 RED BLOCKS. <em>Are there enough??</em>
<em />
<em>Yes of course, because 36 > 32</em>
<em />
<em>So, it is reasonable for Briana to think there are enough blocks to make her design.</em>
Okay, so starting out, I'm just gonna type the inequality.
-2 (5 + 6n) < 6 (8 - 2n)
Alright! So to solve any inequality, you typically want to get the varaible by itself on one side. In this case, our varaible is "n". So how do we get it alone? Well, it always helps to simplify both sides as much as you can. We have some multiplication we can do!
I'm not sure if you're familiar with this, but if I have
-2 (5 + 6n)
I can rewrite this (using the distribution property) as:
-2×5 + -2×6n
I can apply that same logic to the other side. Rewriting this, I would have:
-2×5 + -2×6n < 6×8 + 6×-2n
Alright! At this point, we can further simplify both sides by doing any kind of combining. I see a lot of multiplication, so let's go ahead and do that part. I'm just gonna jump to doing all the multiplication, but if you're unsure on what I've done, just let me know in a comment.
anyway! now we have:
-10 - 12n < 48 -12n
Now, we need to move stuff on their proper sides. We want all "n" values on one side, and all others on the other. I'm gonna add 10 on both sides to move it to the right.
-12n < 48+10 -12n
Next, I'm going to add 12n on both sides so that value is now on the left.
-12n + 12n < 48 +10
Now, for combining like terms! 48 and 10 can go together to form 58.
-12n + 12n <58
Now what about 12n and -12n? Those values added together results in 0n, or just 0.
0 <58
So...now what? Well, our n's cancelled, so either what n equals doesn't matter and the inequality is allows false, or its always true. To find out, we see what the inequality is actually saying. In this, it's saying 0 is less than 58. That IS true, right? So that means, for all values of n, our inequality is true!
Hope that helps, and if any of it doesn't make sense, don't hesitate to ask!
This is the Answer to question 3:
change in the area is the new area is 1/9 of the original area
Let the length of the rectangle be x
Let width of rectangle be y
Area of rectangle = Length \times Width
So, area of given rectangle = xy
So, the new area is 1/9 of the original area
Hence the change in the area is the new area is 1/9 of the original area
