There was 23.29 inches used on a headband for each player.
And 8.54 inches used on a wristband for each player.
To find out how much fabric for headbands and would beused for each player/person you would do
So, if you substitute the values in it is
And finally, to find how much fabric is used on a wristband for each player/person you would use the same formula.
Answer: x=26
Let’s start with rewriting the equation
3x-14+4+2x+(-18+3x)=180
Now let’s distribute. We’ll do this by multiplying the 1 with the -18, and the 1 with the 3x.
3x-14+4+2x+(-18+3x)=180
3x-14+4+2x-18+3x=180
Now let’s combine like terms. These are the numbers that share the same variable, or lack of.
3x-14+4+2x-18+3x=180
8x-28=180
Our goal is to get x alone on the left side. Our first step in doing this is to add 28 on both sides.
8x-28=180
+28 +28
_________
8x=208
Now to finally get x alone on the left side (and get our final answer) we need to divide 8x and 208 by 8.
8x=208
8x/8=208/8
x=26
This is the final answer!
Hope this helps comment below for more questions :)
<span>In order to make the equation a perfect square trinomial, you must add 9 to both sides of the equation. Adding 9 to the left side would give you x2 - 6x + 9 = (x-3)2. Adding 9 allows you to break the left side down into two identical terms of x-3 which are multiplied together. The right side is left with 10 by adding 9. Final answer would be x2-6x+9=10</span>
Let say the length of the rectangle is x. The material that can be used would determine the perimeter of the rectangle. Using the perimeter formula you can find the rectangle width
perimeter= 2(width+length)
400= 2(width + x)
200= width+x
width= 200-x
The function to determine the area would be:
area= length * width
area= x* (200-x)
area= 200x- x^2
To find the highest area you need to find out the vertex by finding the value of x when the differentiate of the function equal to zero.
dx/dy= 200- 2x = 0
2x= 200
x=100
If you put x=100 into the area function you will find
area= 200x- x^2
area= 200(100)- (100)^2
area= 20,000 - 10,000= 10000 feet^2
Answer:
$207
Step-by-step explanation:
From the question, we have;
- Rate for the first 300 containers of 55 cents per container
- Rate of containers above 300 as 60 cents per container
We are required to determine the amount earned from 370 containers;
Thus;
For the first 300 containers;
Amount earned = 300 × 55 cents
= $165
For the extra containers above 300
Extra containers = 370 containers - 300
= 70 containers
Amount earned = 70 × 60 cents
= $42
Therefore;
Total amount earned = $165 + $42
= $207
Therefore, Jill earned $207 for the work.
