Answer:
18 cups.
Step-by-step explanation:
We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: 
.
To find number of cups x to make a profit of at least $20 we will use our given inequality.
Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.
The lawyer makes approximately $11,656.67 a month. Hope this helps!
Example of use of terms:
Statement: If it is far, we take a bus.
Inverse: If it is not far, we do not take a bus.
Converse: If we take a bus, it is far.
Contrapositive: If we do not take a bus, it is not far.
We also know that
1. The inverse of the inverse is the statement itself, and similarly for converse and contrapositive.
2. Only the contrapositive is logically equivalent to the original statement.
This means that the converse and inverse are logically different from the original statement.
Now back to the given statement.
To find the original statement, we find the contrapositive of the contrapositive.
We then find the converse from the original statement, as in the example above.
Original statement
(note that in English, if it is not worth X dollars, means if it is not worth AT LEAST X dollars")
contrapositive of
<span>
"If an item is not worth five dimes, then it is not worth two quarters.”
is the negation of the converse, which become
"If an item is worth two quarters, then it is worth (at least) five dimes."
The converse of the previous statement is therefore
"If an item is worth (at least) five dimes then it is worth two quarters"
In this particular case, we can also take advantage of the fact that the contrapositive is the negation of the converse. So all we have to do is the provide the negation of each component of the contrapositive to get the converse:
"If an item is worth (at least) five dimes, then it is worth two quarters".
as before.
Note that the converse does NOT logically mean the same as the original statement.
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I would think that it would be A.... I am an expert but, only in 8th, so I would double check.
<span>The sum of Kate age and her mother's age is 52, so
K + M = 52
Kate's mother is 20 years older then Kate, so
M = 20 + K
How old is each person?
Since M = 20 + K, substitute it into the first equation, that is, replace M with 20 + K
So, K + (20 + K) = 52
K + 20 + K = 52
2K + 20 = 52
Subtract 20 from both sides:
2K = 52 - 20
2K = 32
divide both sides by 2 to get
K = 16
Now we can find M, since M = 20 + K = 20 + 16 = 36
Kate is 16 years old and her mother is 36 years old.
Hope this helps!!1</span>
