Answer:
15
Step-by-step explanation
We divide the amount he's selling them for, by the amount of money he needs to make.
75 divided by 5 equals 15.
He needs to sell 15 sports drinks to make $75.
Answer:
B. SAS
Step-by-step explanation:
In the given diagram, it would be observed that each side of the bigger triangle are multiplied by a factor of 
to give the values of each corresponding sides of the smaller triangle. But the included angle of the two triangles are the same.
Therefore, the reason why the triangles are similar is because of side-angle-side (SAS) relations. The correct option is B.
Answer:
p = t * 12.5
Step-by-step explanation:
To find the relationship between hours of work and the pay, I divided the total paycheck given by the 25 hours of work, which got me what a 25th of that paycheck would be, which represents what you would earn in an hour with a flat rate.
312.50 / 25 = 12.5
Check:
12.5 * 25 (hours of work) = 312.50 (Given total paycheck)
That's how we know the pay per hour, which is the relationship between t and p.
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
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"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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