4x-8+3x=49-73+4x-1+2 Please Solve!!!!
1 answer:
The solution of 4x - 8 + 3x = 49 - 73 + 4x - 1 + 2 is equal to
<u>Solution:</u>
Given, equation is 4x – 8 + 3x = 49 – 73 + 4x – 1 + 2
We have to solve the above given equation for x.
Now, take the given equation.
4x – 8 + 3x = 49 – 73 + 4x – 1 + 2
Adding the like terms we get,
7x – 8 = - 14 + 4x + 1
7x – 4x = - 14 + 1 + 8
3x = - 14 + 9
3x = - 5
Hence, the value of x is
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Answer: There are 4 male goats.
Step-by-step explanation:
We know that n of the 10 goats are male.
The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)
The probability is;
p = n/10
Now the total number of goats is 9, and the number of male goats is n -1
then the probability of selecting a male goat again is:
q = (n-1)/9
The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is
P = p*q = (n/10)*((n-1)/9)
And we know that this probability is equal to 2/15
Then we have:
(n/10)*((n-1)/9) = 2/15
(n*(n-1))/90 = 2/15
n*(n-1) = 90*2/15 = 12
n^2 - n = 12
n^2 - n - 12 = 0
This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:
For an equation:
a*x^2 + b*x + c = 0
The two solutions are given by:
For our case, the solutions will be:
The two solutions are:
n = (1 - 7)/2 = -3 (this solution does not make sense, we can not have a negative number of goats)
The other solution is:
n = (1 + 7)/2 = 4
This solution does make sense, this means that we have 4 male goats.
Step-by-step explanation:
using the quadratic formula......
