Complete Question
In a country in which people only want Girls, every family continues to have children until they have a Girl. If they have Girl, they stop. If they have boy, they will continuous have child. Assuming that the birthrate of Girl is 52%, what is the proportion of Girl in the country?
Answer:
0.52
Step-by-step explanation:
From the question we are told that
52% is the birthrate of Girls
Therefore
0.52 is the proportion of Girls to boys in that country
<h3>
Answer: x = 61</h3>
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Explanation:
The angle x and the 29 degree angle combine to form a 90 degree angle. This is because the square maker on the left has that angle at 90 degrees, and all of the angles combine to form 180. So 180-90 = 90 is the left over amount.
Add up x and 29 to get 90
x+29 = 90
Solve for x by subtracting 29 from both sides
x+29-29 = 90-29
x+0 = 61
x = 61
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An alternative is to solve the equation below for x
x+29+90 = 180 ... see note below
x+119 = 180
x+119-119 = 180-119 ... subtract 119 from both sides
x = 61
we get the same answer
note: this equation turns into x+29 = 90 if you subtracted 90 from both sides
If you're looking for the solution to the system of equations, here's how we solve using substitution
We know that y = x - 1, so we can plug that into the first equation giving
2x - 3(x-1) = -1
Now distribute the 3 giving 2x - 3x + 3 = -1. After combining like terms we get -x + 3 = -1. Now subtract 3 from both sides, -x = -4, and multiply both sides by -1 to make x positive. x = 4
Now we can plug that into the second equation to get y
y = x - 1, and we know that x = 4, so y = 4 - 1, y = 3. The solution is (4, 3)
The GCF of 180 and 240 is 60
