The right answer is Option A.
Step-by-step explanation:
Let,
x be the postcards
y be the large envelops
According to given statement;
14x+5y=12 Eqn 1
10x+15y=24.80 Eqn 2
Multiplying Eqn 1 by 3;
![3(14x+5y=12)\\42x+15y=36\ \ \ Eqn \ 3](https://tex.z-dn.net/?f=3%2814x%2B5y%3D12%29%5C%5C42x%2B15y%3D36%5C%20%5C%20%5C%20Eqn%20%5C%203)
Subtracting Eqn 2 from Eqn 3;
![(42x+15y)-(10x+15y)=36-24.80\\42x+15y-10x-15y=11.20\\32x=11.20\\](https://tex.z-dn.net/?f=%2842x%2B15y%29-%2810x%2B15y%29%3D36-24.80%5C%5C42x%2B15y-10x-15y%3D11.20%5C%5C32x%3D11.20%5C%5C)
Dividing both sides by 32
![\frac{32x}{32}=\frac{11.20}{32}\\x=0.35](https://tex.z-dn.net/?f=%5Cfrac%7B32x%7D%7B32%7D%3D%5Cfrac%7B11.20%7D%7B32%7D%5C%5Cx%3D0.35)
Putting x=0.35 in Eqn 1;
![14(0.35)+5y=12\\4.90+5y=12\\5y=12-4.90\\5y=7.10](https://tex.z-dn.net/?f=14%280.35%29%2B5y%3D12%5C%5C4.90%2B5y%3D12%5C%5C5y%3D12-4.90%5C%5C5y%3D7.10)
Dividing both sides by 5
![\frac{5y}{5}=\frac{7.10}{5}\\y=1.42](https://tex.z-dn.net/?f=%5Cfrac%7B5y%7D%7B5%7D%3D%5Cfrac%7B7.10%7D%7B5%7D%5C%5Cy%3D1.42)
Therefore, one large envelope costs $1.42
The right answer is Option A.
Keywords: linear equations, subtraction
Learn more about linear equations at:
#LearnwithBrainly
Answer:
1g
Step-by-step explanation:
Answer:
Volume of the Figure ![=825.38m^3](https://tex.z-dn.net/?f=%3D825.38m%5E3)
Step-by-step explanation:
Volume of the figure = Volume of the Upper cone+Volume of the lower cone
Volume of a cone = ![\pi *r^2*\frac{h}{3}](https://tex.z-dn.net/?f=%5Cpi%20%2Ar%5E2%2A%5Cfrac%7Bh%7D%7B3%7D)
Volume of the Upper Cone with
![radius=6m](https://tex.z-dn.net/?f=radius%3D6m)
![3.14*6*6*\frac{12}{3}](https://tex.z-dn.net/?f=3.14%2A6%2A6%2A%5Cfrac%7B12%7D%7B3%7D)
![=3.14*6*6*4\\\\=3.14*36*4\\\\=3.14*144\\\\=147.14m^3](https://tex.z-dn.net/?f=%3D3.14%2A6%2A6%2A4%5C%5C%5C%5C%3D3.14%2A36%2A4%5C%5C%5C%5C%3D3.14%2A144%5C%5C%5C%5C%3D147.14m%5E3)
Volume of the Lower cone with
and ![height=18m](https://tex.z-dn.net/?f=height%3D18m)
![=3.14*6*6*\frac{18}{3} \\\\=3.14*6*6*6\\\\=3.14*36*6\\\\=3.14*216\\\\=678.24m^3](https://tex.z-dn.net/?f=%3D3.14%2A6%2A6%2A%5Cfrac%7B18%7D%7B3%7D%20%5C%5C%5C%5C%3D3.14%2A6%2A6%2A6%5C%5C%5C%5C%3D3.14%2A36%2A6%5C%5C%5C%5C%3D3.14%2A216%5C%5C%5C%5C%3D678.24m%5E3)
Volume of the Whole Figure = ![147.14+678.24](https://tex.z-dn.net/?f=147.14%2B678.24)
Volume of the Figure ![=825.38m^3](https://tex.z-dn.net/?f=%3D825.38m%5E3)