x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.
Step-by-step explanation:
Given,
Number of banana breads and nut breads to bake = at most 30
At most 30 means the amount cannot exceed 30.
Selling price of each banana bread = $2.50
Selling price of each nut bread = $2.75
Amount to make = $44 at least
At least 44 means that the amount cannot be less than 44.
Let,
x represent the number of loaves of banana bread to be sold
y represent the number of loaves of nut bread to be sold
x+y≤30
2.50x+2.75y≥44
x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.
Keywords: linear inequalities, addition
Learn more about linear inequalities at:
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Answer:
![\text{Perimeter of sector = 43.6 (Rounded to the nearest tenth.)}](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20of%20sector%20%3D%2043.6%20%28Rounded%20to%20the%20nearest%20tenth.%29%7D)
Step-by-step explanation:
![\text{Perimeter of the sector = Radius + arc length + radius}](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20of%20the%20sector%20%3D%20Radius%20%2B%20arc%20length%20%2B%20radius%7D)
![\text{Radius = 10 cm}](https://tex.z-dn.net/?f=%5Ctext%7BRadius%20%3D%2010%20cm%7D)
![\text{Perimeter of the sector = 10 + arc length + 10 }](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20of%20the%20sector%20%3D%2010%20%2B%20arc%20length%20%2B%2010%20%20%7D)
![\text{Perimeter of the sector = 20 + arc length }](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20of%20the%20sector%20%3D%2020%20%2B%20arc%20length%20%20%7D)
![\text{arc length = (sector angle/ 360 ) * perimeter of the circle}](https://tex.z-dn.net/?f=%5Ctext%7Barc%20length%20%20%20%3D%20%28sector%20angle%2F%20360%20%29%20%2A%20perimeter%20of%20the%20circle%7D)
![\text{Perimeter of a circle }=2\pi r](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20of%20a%20circle%20%7D%3D2%5Cpi%20r)
![\text{sector angle} = 135](https://tex.z-dn.net/?f=%5Ctext%7Bsector%20angle%7D%20%3D%20135)
![\text{arc length} = (135/ 360 ) * 2\pi (10)](https://tex.z-dn.net/?f=%5Ctext%7Barc%20length%7D%20%20%20%3D%20%20%28135%2F%20360%20%29%20%2A%202%5Cpi%20%2810%29)
![= (3/8) 20\pi](https://tex.z-dn.net/?f=%3D%20%283%2F8%29%2020%5Cpi)
![= 15\pi /2](https://tex.z-dn.net/?f=%3D%2015%5Cpi%20%2F2)
![\text{Using }\pi =3.14](https://tex.z-dn.net/?f=%5Ctext%7BUsing%20%20%7D%5Cpi%20%3D3.14)
![= 15 * 3.14 /2](https://tex.z-dn.net/?f=%3D%2015%20%2A%203.14%20%2F2)
![= 23.55](https://tex.z-dn.net/?f=%3D%2023.55)
![\text{Perimeter of the sector = 20 + 23.55}](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20of%20the%20sector%20%3D%2020%20%20%2B%2023.55%7D)
![= 43.55](https://tex.z-dn.net/?f=%3D%2043.55)
![= 43.6 cm](https://tex.z-dn.net/?f=%3D%2043.6%20%20cm)
![\text{perimeter of the sector = 43.6 cm }](https://tex.z-dn.net/?f=%5Ctext%7Bperimeter%20of%20the%20sector%20%20%3D%2043.6%20%20cm%20%7D)
Answer:
y= -1/2x+5
Step-by-step explanation:
The formula you need to use is (y-y1)=m(x-x1)
x1=the x point provided
y1=the y point provided
m=the slope
Simply plug the numbers into the equation to start.
(y-3)= -1/2(x-4) Now we need to distribute the slope to both terms inside the parenthesis.
-1/2(x)= -1/2x
-1/2(-4)= 2 Now you put them back into the equation.
(y-3)= -1/2x+2
At this point you can get rid to the parenthesis around y-3 because it is basically saying to take it times 1.
y-3= -1/2x+2 Finally to get y alone you would add 3 to both sides.
+3 +3
y= -1/2x+5
Since the L’s cross out on one side. you are left with w=A/l. so option a is correct.
Answer:
500
Step-by-step explanation: