Answer:
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The length of hours Gilbert drove is 7.5 hours.
The length of hours Brian drove is 4.1 hours.
<u>Step-by-step explanation</u>:
- Gilbert averaged = 45 miles per hour
- Brain averaged = 65 miles per hour
- Total hours = 11.6 hours
- Total distance = 604 miles
Let 'x' be the hours Gilbert drove.
Let 'y' be the hours Brian drove.
x+y = 11.6 -----(1)
45x+65y = 604 -----(2)
Multiply (1) by 45 and subtract (2) from (1)
45x+45y = 522
-(<u>45x+65y = 604</u>)
<u> -20y = -82 </u>
y = 82/20
y = 4.1 hours
The length of hours Brian drove = 4.1 hours
Substitute y=4.1 in (1)
x+4.1 = 11.6
x = 7.5 hours
The length of hours Gilbert drove = 7.5 hours
These are indeed equivalent, and this identity is one of DeMorgan's laws.
The 6th column is the negation of the 5th column. For example, the first row says
not <em>p</em> or <em>q</em>
is true (T), so the negation would be false (F). The 5th column reads {T, F, T, T}, so the next column should be {F, T, F, F}.
Then in the 7th/last column, you are checking the truth value of the statement
<em>p</em> and not <em>q</em>
For example, in the first row, both <em>p</em> and <em>q</em> are true (T). This means (not <em>q</em>) is false, so (<em>p</em> and not <em>q</em>) is false (F). The last column should end up reading {F, T, F, F}, same as the previous column.
Hello!
Some sample keys for the true or false three question test would be:
Keys are: False, False, False, True, True, True, False, False, True, True, True, False, False, True, False, True, False, True. False, True, True, True, True, False. Those are all the possible combinations for the answer key. (every 3 is a group). Hope this helps! Have a great day!