How many solutions exist for the given equation? 3(x + 10) + 6 = 3(x + 12) zero one two infinitely many
2 answers:
For this case we have the following expression:
We must rewrite both sides of the equation.
For this, we use the distributive property.
We have then:
Adding similar terms we have:
We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Thus, the equation has infinite solutions.
Answer:
infinitely many
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Answer:
0.45% probability that they are both queens.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes
The combinations formula is important in this problem:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes
You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.
The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So
Total outcomes
Combinations of 2 from a set of 52(number of playing cards). So
What is the probability that they are both queens?
0.45% probability that they are both queens.