<u>Answer</u>:
The number of hens is 100 and the number of roosters is 200.
<u>Step-by-step explanation:</u>
Let the number of hens be x and the number of roosters be y
then the total number of hens and roosters, is 300
so,
----------------------------(1)
Also the hen eats 80 pounds of food per year and roosters eats 60 pounds of food per year,
----------------(2)
To solve the equations , multilpy eq(1) by 80
------------------(3)
Subracting (2) from (3)


substituting y in eq(1) we get



Answer:
Future value, A = $642
Step-by-step explanation:
Given the following data;
Principal = $500
Interest rate = 5% = 5/100 = 0.05
Time, t = 5 years
n = 365
To find the future value, we would use the compound interest formula;
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
Future value, A = $642
Answer:
Step-by-step explanation:
a² - b² = (a+ b)(a - b)
1) (2n-4/2n) ÷ (n^2-4/n)

2) [y^2-36/y^2-49] ÷[ y+6/y-7]

3) [m^2-1/ m^2-m] ÷ [m^2-7m-8/3m
]

Hint : m² - 7m - 8
sum = -7
Product = -8
Factor = (-8), 1
m² - 7m - 8 =m² - 8m + m - 8
= m*(m - 8) + (m-8)
= (m - 8)(m +1)