It is given that
a+b=20 -------------------- (1)
b+c=30 -----------------------(2)
We have to calculate
3 a + 4 b +7 c
Now multiplying equation(1 )by 3,we get
3 a+ 3 b=60 ----------------------------------(3)
and Multiplying equation( 2) by 4,we get
4 b + 4 c=120 -----------------------------------(4)
Adding expression (3) and (4),we get i.e left hand side of 3 to left hand side of 4 and right hand side of 3 to right hand side of 4.
3 a+ 3 b+ 4 b+ 4 c=60+120
Adding like terms, we get
3 a+ 7 b+ 4 c =180, Which is the required solution.
The answer is -31 over 12.
Let x = cost of one cheese pizza.
Let y = cost of one pepperoni pizza.
Set up a system of equations.
6x + 7y = 153.50
2x + 2y = 47.00.
Multiply the second equation by -3
6x + 7y = 153.50
-6x - 6y = -141.00.
Add the equations together
y = $12.00.
Plug 12 into one of our original equations.
2x + 2(12) = 47.
Simplify the left side.
2x + 24 = 47.
Subtract 24 from each side.
2x = 23.
Divide each side by 2
x = $11.50
In conclusion, one pepperoni pizza costs $12.00
Answer:
(a) 6x + (x + 12) = 180
(b) m<1 = 144 m<2 = 36
Step-by-step explanation:
7x + 12 = 180
7x = 168
x = 24
6(24) = 144
(24) + 12 = 36
Answer:
(2, -10)
Step-by-step explanation:
so first i find the axis of symmetry using the equation x= -b/2a
in this problem
a=3
b= -12
c= 2
- (-12)/ 2(3) = 2
2 will be the x point for your vertex
you then plug in your x point into the original equation and solve for y
y = 3(2)^2 - 12(2) +2
y = -10
Vertex is then (2, -10)
