Answer:
The number of chicken and cows should be 19 and 11.
Step-by-step explanation:
The number of chicken and cows should be 19 and 11.
Given that,
The farm has 30 chickens and cows, and there are 82 chicken and cow legs all together.
Let x represent the number of chickens in the farm.
Let y represent the number of cows in the farm.
Based on the above information, the calculation is as follows:
x + y = 30
Since a chicken has 2 legs and a cow has 4 legs.
So,
2x + 4y = 82 - - - - - - - - - - - - 1
Now
Substituting x = 30 - y into equation 1, it becomes
2(30 - y) + 4y = 82
60 - 2y + 4y = 82
- 2y + 4y = 82 - 60
2y = 22
y = 11
Now
x = 30 - 11
= 19
Step-by-step explanation:
the rate of change is officially
(f(x2) - f(x1)) / (x2 - x1)
but for a line function (as we have here) this is totally easy : it is the slope of the line.
and that means it is the factor of x.
in our case this is -3/2.
because the slope of a line is the ratio "y coordinate change / x coordinate change". and that is exactly corresponding to the general rate of change definition above.
I need a picture of the problem or something at least
Answer:
92
Step-by-step explanation:
LCM = 96
12 = 4×3
32 = 4 × 8
then GCF = 4
LCM - GCF = 96 - 4 = 92
Answer:
The principal amont was $35,000
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
In this problem, we have that:

We want to find P. So





The principal amont was $35,000