Answer: x=10
Step-by-step explanation: 9 + 4x-12 + 6x = 97
Combine like terms: 6x + 4x and 9-12
10x -3 = 97
Add 3 to both sides
10x = 100
Divide 10 by both sides
X=10
Probability is the extent to which an event is likely to occur. It is the likelihood of sth to happen.
In maths it is measured by the ratio of the favourable cases to the whole number of cases possible.
For instance
there are 5 black balls and 2 white balls of same shape and size.
If you picked one out of a bag it is more likely for you to pick a black one rather than a white one as it has more in number.
So black balls have more probability.
And to find out probability of this above given event,
Sample space n(S) = 5+2 = 7
No. Of black balls n(B) = 5
No. Of white balls n(W) = 2
Probability of black ball p(B) = n(B)/n(S)
=5/7
And in the same way, p(W) = 2/7
Answer:
Then the solution is (4, 6).
Step-by-step explanation:
Let's use the substitution method:
First multiply the second equation by 4, obtaining 4y = -2x + 32.
Now substitute (-2x + 32) for 4y in the first equation:
3x + (-2x + 32) = 36, or
3x - 2x + 32 = 36. or
x = 4.
If x = 4, then the second equation yields y = (-1/2)(4) + 8, or
y = -2 + 8, or y = 6
Then the solution is (4, 6).
Check, using the first equation:
Does 3(4) + 4(6) = 36? Does 12 + 24 = 36? YES
Answer:
k < -5
Step-by-step explanation:
5(k+4)<–5
Divide each side by 5
5/5(k+4)<–5/5
k+4 < -1
Subtract 4 from each side
k+4-4 < -1-4
k < -5
