Answer:
Step-by-step explanation:
Let red candy weighs r and blue candy weighs b
<u>Total weight is 7 pounds:</u>
<u>Red costs $1.5 per pound, blue costs $2 per pound and total cost is $12</u>
We have two equations.
<u>Solve by elimination, double the first equation and subtract the second equation from the first:</u>
- 2r + 2b = 14
- 1.5r + 2b = 12
<u>Subtract and solve for r:</u>
- 2r - 1.5r = 14 - 12
- 0.5r = 2
- r = 4
<u>Find b using the first equation:</u>
<u>The answer is:</u>
- Mike had 4 pounds of red and 3 pounds of blue candies.
Answer:
Step-by-step explanation:
xy = 2y + xy = 0
Hence, 2y + xy = 0 ---------(1)
Differentiating equation (1) n times by Leibnitz theorem, gives:
2y(n) + xy(n) + ny(n - 1) = 0
Let x = 0: 2y(n) + ny(n - 1) = 0
2y(n) = -ny(n - 1)
∴ y(n) = -ny(n - 1)/2 for n ≥ 1
For n = 1: y = 0
For n = 2: y(1) = -y
For n = 3: -3y(2)/2
For n = 4: -2y(3)
Answer:
yes, by AAS
Step-by-step explanation:
Vertical angles are congruent, therefore you have another angle given to you. Along with the given information, you can prove that the triangles are congruent from AAS
Answer:
Step-by-step explanation:
Given are four equations in three variables as

Let us take first three equations and solve
When we add we get 2(x+y+z) = 12
x+y+z = 6
Subtract from this equation the I equation to get z =2, similarly x =2, and y =2
If this is to be consistent with 4th equation we must have
2a+2b+2c =0
i.e. a +b+c =0
i.e. a =a, b =b and c = -a-b
Thre are infinite values for a,b,c to have x,y,z have solution as (2,2,2)
The system cannot have no solution or infinitely many solutions.