Answer:
$9
Step-by-step explanation:
15% of 60 is 9
thus, he earned $9
Answer:
150 regular loaves
125 loaves with extra sugar
100 loaves with extra bananas.
Step-by-step explanation:
Let R represent loaves of regular bread, S represent loaves with extra sugar, and B represent loaves with extra bananas. If they have 1200 bananas, 1050 cups of sugar, and 1075 cups of flour available, the number of each type of bread that Angie and Brian can make are given by the following system of equations:
![3R+2S+5B=1,200\\3R+4S+1B=1,050\\2R+3S+4B=1,075](https://tex.z-dn.net/?f=3R%2B2S%2B5B%3D1%2C200%5C%5C3R%2B4S%2B1B%3D1%2C050%5C%5C2R%2B3S%2B4B%3D1%2C075)
Solving the linear system:
![3R+4S+1B-(3R+2S+5B)=1,050-1,200\\2S-4B=-150\\S=-75+2B\\\\3R+2*(-75+2B)+5B=1,200\\2R+3*(-75+2B)+4B=1,075\\3R+9B=1,350\\2R+10B=1,300\\\\3R+9B-1.5*(2R+10B)=1,350-(1.5*1,300)\\9B-15B=-600\\B=100\\2R+10*100=1,300\\R=150\\3*150+2S+5*100=1,200\\S=125](https://tex.z-dn.net/?f=3R%2B4S%2B1B-%283R%2B2S%2B5B%29%3D1%2C050-1%2C200%5C%5C2S-4B%3D-150%5C%5CS%3D-75%2B2B%5C%5C%5C%5C3R%2B2%2A%28-75%2B2B%29%2B5B%3D1%2C200%5C%5C2R%2B3%2A%28-75%2B2B%29%2B4B%3D1%2C075%5C%5C3R%2B9B%3D1%2C350%5C%5C2R%2B10B%3D1%2C300%5C%5C%5C%5C3R%2B9B-1.5%2A%282R%2B10B%29%3D1%2C350-%281.5%2A1%2C300%29%5C%5C9B-15B%3D-600%5C%5CB%3D100%5C%5C2R%2B10%2A100%3D1%2C300%5C%5CR%3D150%5C%5C3%2A150%2B2S%2B5%2A100%3D1%2C200%5C%5CS%3D125)
They should make 150 regular loaves, 125 loaves with extra sugar, and 100 loaves with extra bananas.
Answer:
$8
Step-by-step explanation:
Answer:
length = 31 ft
width = 19 ft
Explanation:
Assume that the width of the rectangle is w.
We are given that the length is 12 ft more than the width. This means that the length of the rectangle is w + 12
The perimeter of the rectangle in this case would be:
perimeter = 2 (length + width)
perimeter = 2 (12 + w + w)
perimeter = 24 + 4w
Assume that Dan would use all 100 ft of fencing to surround the yard. This would mean that the largest perimeter is 100 ft.
Therefore:
perimeter = 24 + 4w
100 = 24 + 4w
4w = 100 - 24
4w = 76
w = 19 ft
Since we have calculated that the width of the yard is 19 ft, we can substitute to get the length as follows:
length = 12 + w
length = 12 + 19
length = 31 ft
Hope this helps :)