Answer:
180
Step-by-step explanation:
Answer:
area of rectangle : 180 sq ft
area of triangle : 30 sq ft
area of entire composite figure : 210 sq. ft
Step-by-step explanation:
rectangle : 15*12= 180
triangle : 15*4=60 /2 = 30
entire : 180 + 30 = 210
Answer:nopare\
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Step-by-step explanation:
Answer: c 12 pounds of the $5.50-per-pound coffee, 8 pounds of the $9.20-per-pound coffee
Step-by-step explanation:
Let x = Number of pound of first king.
y= Number of pound of second kind.
As per given , we have
![x+y=20\Rightarrow\ y= 20-x (i)\\\\\\9.20x +5.50 y= 6.98(20) \\\Rightarrow\ 9.20x +5.50 y=139.6 (ii)](https://tex.z-dn.net/?f=x%2By%3D20%5CRightarrow%5C%20y%3D%2020-x%20%28i%29%5C%5C%5C%5C%5C%5C9.20x%20%2B5.50%20y%3D%206.98%2820%29%20%20%5C%5C%5CRightarrow%5C%209.20x%20%2B5.50%20y%3D139.6%20%20%28ii%29)
substitute value of y from (i) in (ii), we get
![9.20x +5.50(20-x) =139.6\\\\\Rightarrow\ 9.20x +5.50(20)-5.50x =139.6\\\\\Rightarrow\ 9.20x-5.50x +110 =139.6\\\\\Rightarrow\ 3.7x =139.6-110\\\\\Rightarrow\ 3.7x =29.6\\\\\Rightarrow\ x=\dfrac{29.6}{3.7}=\dfrac{296}{37}\\\\\Rightarrow\ x=8](https://tex.z-dn.net/?f=9.20x%20%2B5.50%2820-x%29%20%3D139.6%5C%5C%5C%5C%5CRightarrow%5C%209.20x%20%2B5.50%2820%29-5.50x%20%3D139.6%5C%5C%5C%5C%5CRightarrow%5C%209.20x-5.50x%20%2B110%20%3D139.6%5C%5C%5C%5C%5CRightarrow%5C%203.7x%20%20%3D139.6-110%5C%5C%5C%5C%5CRightarrow%5C%203.7x%20%20%3D29.6%5C%5C%5C%5C%5CRightarrow%5C%20x%3D%5Cdfrac%7B29.6%7D%7B3.7%7D%3D%5Cdfrac%7B296%7D%7B37%7D%5C%5C%5C%5C%5CRightarrow%5C%20x%3D8)
Put this in (i), we get y= 20-8 = 12
Hence, he should blend 12 pounds of the $5.50-per-pound coffee, 8 pounds of the $9.20-per-pound coffee.
So the correct option is c.