Answer:
Step-by-step explanation:
Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.
The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.
The system is
6h + 1d = 40
4h + 3d = 36
The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,
1d = 40 - 6h.
Now that we know what d equals, we can sub it into the second equation where we see a d. In order,
4h + 3d = 36 becomes
4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!
4h + 120 - 18h = 36 and
-14h = -84 so
h = 6.
That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:
1d = 40 - 6(6) and
d = 40 - 36 so
d = 4.
That means that each duck costs $4.
Answer: 38 is your answer hope this helped
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Step-by-step explanation:
The equation y=mx+b
Slope= m
y-intercept= b
y= 2x+0 so y=2x
Answer:
angle N is 79, angle K is 22, angle P is 81, angle D is 76
Step-by-step explanation:
all of the angles should add up to 180 degrees so add the two angles you have and subtract them from 180
Answer:
110 degrees
Step-by-step explanation:
The measures of the two base angles of an isosceles triangle are the same so 180 - 2(35) = 110 which is the vertex angle.
