![\it 3x+2y=14 \\ 5x-2y=18 \\ ------\\ 8x \ \ \ \ \ \ \ =32 \Rightarrow x = 32:8\Rightarrow x=4 \ \ \ (*)](https://tex.z-dn.net/?f=%5Cit%203x%2B2y%3D14%0A%5C%5C%0A5x-2y%3D18%0A%5C%5C%0A------%5C%5C%0A8x%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%20%3D32%20%5CRightarrow%20x%20%3D%2032%3A8%5CRightarrow%20x%3D4%20%5C%20%5C%20%5C%20%28%2A%29)
![\it 3x+2y=14 \stackrel{(*)}{\Longrightarrow} 3\cdot4+2y=14 \Rightarrow 12+2y=14 \Rightarrow 2y=14-12\Rightarrow \\\;\\ \Rightarrow 2y=2 \Rightarrow y=2:2 \Rightarrow y=1](https://tex.z-dn.net/?f=%5Cit%203x%2B2y%3D14%20%5Cstackrel%7B%28%2A%29%7D%7B%5CLongrightarrow%7D%203%5Ccdot4%2B2y%3D14%20%5CRightarrow%2012%2B2y%3D14%20%5CRightarrow%202y%3D14-12%5CRightarrow%20%0A%5C%5C%5C%3B%5C%5C%0A%5CRightarrow%202y%3D2%20%5CRightarrow%20y%3D2%3A2%20%5CRightarrow%20y%3D1)
Therefore, the solution is: x = 4, y=1.
Answer:
a=18.1 or √329
Step-by-step explanation:
a²+b²=c²
a²+20²=27²
a²+400=729
a²=329
a=18.1 or √329 depending on what form you are answering in, radical or decimal.
Answer:
.05n + .25( 35-n) = 6
Step-by-step explanation:
Add the value of each coin times the number of each coin to get the total amount
.05n + .25( 35-n) = 6
Answer:
x < -39
Step-by-step explanation:
d/13 is actually just 1/13d:
1/13d > -3
Then you multiply both sides by the reciprocal of 1/13 which is 13. You do this because you normally you would divide, but since you can't divide a fraction, you multiply by the reciprocal, which is just the flipped version.
13 × 1/13 > -3 × 13
It cancels out on one side, because you are multiplying by its opposite. Then you multiply 13 × -3. This is -39. But the thing is that, when you multiply or divide by a negative, you need to flip the inequality sign around.
x < -39
Answer:
Number of people that can be served 7 ladles = 100 people
Step-by-step explanation:
We are told that;
Initial number of ladles proposed per person = 5
Number of persons to be fed based on 5 ladles = 140 persons
Thus, amount of ladles based on that data is;
140 people x 5 ladle/1 person = 700 ladles full of soup
Now, since the cook decides to give 7 ladles full of soup to each person, the number of people that can be fed will now be;
700 ladles ÷ 7 ladles/person = 100 persons