The missing equations are;
a + 2b + 3c = 12
3a + 2b + 5c = 22
2a + 4b + 4c = 18
Answer:
a = 2
b = 0.5
c = 3
Step-by-step explanation:
We are told that;
a represent the price per pound of apples
b represent the price per pound of bananas
c represent the price per pound of oranges
The equations system is;
a + 2b + 3c = 12 - - - (eq 1)
3a + 2b + 5c = 22 - - - (eq 2)
2a + 4b + 4c = 18 - - - (eq 3)
Divide through equation 3 by 2 to get
a + 2b + 2c = 9 - - - (eq 4)
Subtract eq 4 from eq 1 to get;
3c - 2c = 12 - 9
c = 3
Put 3 for c in eq(2) and eq 4;
3a + 2b + 5c = 22
3a + 2b + 5(3) = 22
3a + 2b + 15 = 22
3a + 2b = 7 - - - (5)
a + 2b + 2(3) = 9
a + 2b + 6 = 9
a + 2b = 3 - - - (eq 6)
Subtract eq 6 from eq 5 to get;
2a = 7 - 3
2a = 4
a = 2
Put 2 for a in eq 6;
2 + 2b = 3
2b = 3 - 2
2b = 1
b = 1/2
b = 0.5
Answer:
<h3>
2.0x-8.3y+2.3</h3>
Step-by-step explanation:
Give the expression 3.7 x + (0.5-6y)+0.8-(1.7x+1-2.3y), to get the equivalent expression we will follow thw steps;
open the parenthesis
3.7 x + 0.5-6y+0.8-1.7x+1-2.3y
collect like terms
= 3.7 x -1.7x -6y-2.3y+0.5+0.8+1
= 2.0x-8.3y+1.3+1
= 2.0x-8.3y+2.3
Hence the equivalent expression is 2.0x-8.3y+2.3
Circle equation
(x-h)^2 + (y-k)^2 = r^2
where (h.k) is the center and r is the radius
(x -7)^2 + (y+10)^2 = 4
Step-by-step explanation:
To prove this we can use the definition of a sequence converging to its limit, in terms of epsilon:
The sequence 
converges to 
if and only if
for every 
there exists 
such that
if and only if
for every there exists such that 
if and only if
the sequence 
converges to 0.
