We define the variables first:
x = number of male cousins
y = number of females cousins
We write the system of equations:
x + y = 9
x = y-2
We solve the system:
Equation 1:
x + y = 9
(y-2) + y = 9
2y-2 = 9
y = 11/2 = 5.5
Equation 2:
x = 5.5-2
x = 3.5
Answer:
Although physically it does not make sense, mathematically the answer is:
number of male cousins = 3.5
number of females cousins = 5.5
F(5) = 1/4(2)^5
f(5) = 1/4 (32)
f(5) = 8
answer
A. 8
Rewrite the given quadratic equation in standard form: Kx 2 + 2x - 1 = 0
Discriminant = 4 - 4(K)(-1) = 4 + 4K
For the equation to have two real solutions, the discriminant has to be positive. Hence we need to solve the inequality 4 + 4K > 0.
The solution set to the above inequality is given by: K > -1 for which the given equation has two real solutions.
Well, start from 100% and work backwards.
It takes 5600 years to get to 50%
Another 5600 years to get to 25%
And a bit under another 5600 to get to 15% (another 5600 years would get it down to 12.5%)
Add the first two 550s to get 1120, and add about 5,000 and see which answer is closest.
In this case, D is closest at 15!w29
There are more exact ways of solving, but for a multiple choice this is faster and efficient nonetheless
Answer: Girls: 20
Boys: 30
Step-by-step explanation: 40% of 50 is 20, which means there are 20 girls.
Subtract 50-20 to get the number of boys, which is 30.