For word problems, assign variables so you can express them into equations. For this problem, the unknown is the number of each animals. Let's assign x to the number of cows and y to the number of chickens. It is mentioned that there are a total of 28 animals. Therefore, we can formulate the first independent equation to be
x + y = 28 ---> eqn 1
Next, we know that the total number of legs are 74. Since each cow has 4 legs and each chicken has 2 legs, the second independent equation we could formulate is:
4x + 2y = 74 ---> eqn 2
Now, we have a system of linear equations. There are two unknowns and two independent equations. Thus, the system is solvable. Let's use the method of substituting to solve this. Rearrange eqn 1 such that x is a function of y. Let's denote this as eqn 1'.
x = 28 - y ---> eqn 1'
Substitute eqn 1' to eqn 2:
4(28 - y) + 2y = 74
112 - 4y + 2y = 74
-2y = 74 - 112
-2y = -38
y = -38/-2
y = 19
Therefore, there are 19 chickens. Now, we use y=19 to substitute to eqn 1:
x + 19 = 28
x = 28 - 19
x = 9
Therefore, there are 9 cows.
Answer:
im not sure but maybe C
Step-by-step explanation:
sorry if this is wrong
4x-y>-3
-y>-3-4x
y<3+4y
please mark me as brainlist and be
Get the variable on one side and the numbers on the opposite side.
5x + 12 = x - 8
Let's get rid of that x on the right-hand side of the equation.
We can do this subtracting x from each side of the equation.
(5x - x) + 12 = (x - x) - 8 =
4x + 12 = -8
Let's take out the 12 so that the 4x can be alone.
We can do that by subtracting 12 from each side
4x + (12 - 12) = -8 - 12 =
4x = -20
And finally, divide the both sides by the coefficient of the 4x term. Which is 4.
4x / 4 = -20 / 4 =
x = -5
So, x is equal to -5.
The rate of change is either .91 or .09 based on what that function represents and what it is asking for