Write an argument using the Law of Detachment and the Law of Syllogism that has as its contrapositive the statement “If you did not do well on your exam then you did not study effectively.” Identify your use of the both Law of Detachment and the Law of Syllogism.
What will be an ideal response?
If you get enough sleep then you can study effectively (p?q)
If you study effectively then you will do well on your exam (q?r)
Using the Law of Syllogism, we have p?r, which is the statement:
If you get enough sleep then you will do well on your exam
Using the Law of Detachment, we have, if p then r; p, therefore r.The contrapositive of this is
If not r then not p, which is the statement:
If you did not do well on your exam then you did not study effectively
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Solve the problem.Write an equivalent statement using the distributive property.5
+ 14
=
A. 
B. 
C. 
D. 
Solve the problem.In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.30 as soon as you get in the taxi, to which a charge of $1.90 per mile is added. Find a linear equation that can be used to determine the cost, y, of an x-mile taxi ride.
A. y = 1.90 + 2.30x B. y = 2.70x C. y = 4.20x D. y = 2.30 + 1.90x
Round the following to the nearest ten, nearest hundred, and nearest thousand.72,269
A.
| Ten | 72,260 |
| Hundred | 72,300 |
| Thousand | 72,280 |
B.
| Ten | 72,270 |
| Hundred | 72,260 |
| Thousand | 73,000 |
C.
| Ten | 72,270 |
| Hundred | 72,300 |
| Thousand | 72,000 |
D.
| Ten | 72,260 |
| Hundred | 72,200 |
| Thousand | 73,000 |
Translate into an equation, then solve.Ken is to receive 680 cc of insulin in three injections. The first injection is to be 
. The second injection is to be 240 cc. How much insulin must be given for the third injection?
A. 170 + 240 + x = 680; x = 750 cc B. 170 + 240 + x = 680; x = 270 cc C. 170 - 240 + x = 680; x = 270 cc D. 170 - 240 + x = 680; x = 750 cc