Let the cost of a chicken be x and the cost of a duck, y, then
50x + 30y = 550 . . . (1)
44x + 36y = 532 . . . (2)
(1) x 6 ⇒ 300x + 180y = 3,300 . . . (3)
(2) x 5 ⇒ 220x + 180y = 2,660 . . . (4)
(3) - (4) ⇒ 80x = 640
⇒ x = 640 / 80 = 8
From (1): 50(8) + 30y = 550
⇒ 30y = 550 - 400 = 150
⇒ y = 150 / 30 = 5
Therefore, the price of a chicken is $8 and the price of a duck is $5.
Answer:
3/4 of a mile
Step-by-step explanation:
1/3x = 1/4
x = 1/4 * 1/3
x = 3/4
SCale factor is ML/DC = 6/4 = 3/2
So multiply AD by 3/2 to find the length of JM . The length would be 3*3/2=9/2
Next find the perimeter of JKML. It would be 2(9/2+6)=21
The ratio of the coefficient of the quadratic term to the constant term is; a/b = 4
<h3>How to interpret quadratic equation formula?</h3>
We are told that;
1) The coefficient of the quadratic term and the coefficient of the linear term of a quadratic are equal.
2) the quadratic has a double root
Now, for the quadratic equation to be a perfect square, it must be of the form ax² + ax + b and also for this to be a perfect square, it must be (√ax+ √b)² which is ax² + b + 2(√ab)x.
Thus, we have 2√ab = a
Square both sides to get;
4ab = a²
Taking square root of both sides gives us;
a/b = 4.
Thus, the ratio of the coefficient of the quadratic term to the constant term is; a/b = 4
Read more about Quadratic Equation Formula at; brainly.com/question/8649555
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