Hello there, my fellow human being!
So, the chicken costs $8 and the duck costs $5, here's why.
Let's say x is the cost of a chicken while y is the cost of a duck.
We can make two linear equations using the information above.
Last month, he sold 50 chickens and 30 ducks for $550: 50x + 30y= 550
This month, he sold 44 chicken and 36 ducks for $532: 44x + 36y = 532
50x/10 + 30y/10 = 440/10
44x/4 + 36y/4 = 532/4
5x + 3y = 44
11x + 9y = 133
So, now that we have our answer simplified, we have to use elimination to solve this system of equations. But, first we need to make sure that at least one of our variables is able to be canceled out.
Let's multiply this equation by -3.
(5x + 3y = 44) * -3.
-15x-9y=-165.
11x + 9y = 133
-15x - 9y = -165
______________
-4x/4 = -32/4
x = 8
11x + 9y = 133
11(8) + 9y = 133
88 + 9y = 133
-88 -88
________________
9y/9 = 45/9
y = 5.
take x =initial deposit amount. then make equation:
x+75.5+55.25-25.15-18.65 = 210.85
simplify:
x+86.95 = 210.85
x=210.85 - 86.95
x=123.90
so Initial deposit amount is $123.90
check: 210.85+18.65+25.15-55.25-75.5 = 123.9
123.9 = 123.9
Answer:
Step-by-step explanation:
The formula for determining the area of a rectangular playground is expressed as
Area = length × width
The rectangular playground is 40 meters by 10 meters. This means that the area of the playground would be
Area = 40 × 10 = 400 m²
Each bag of the wooden Chips to be used to cover the playground covers 200 sq meters. The number of bags needed would be
400/200 = 2 bags
Each bag costs $30. Therefore, the total cost for this project would be
2 × 30 = $60
Answer: X=14
Step-by-step explanation:
