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Artemon [7]
3 years ago
15

Which set of statements always have the same truth value?

Mathematics
1 answer:
Fantom [35]3 years ago
7 0

Let p and q be two propositional statements,


The conditional of the two statements is



'If p then q'


written symbolically as

p \rightarrow q



The converse is


'If q then p'


written symbolically as

q \rightarrow p








The Inverse is


'If not p then not q'


written symbolically as

\neg p \rightarrow \neg q




The contrapositive is


'If not q then not p'


written symbolically as

\neg q \rightarrow \neg p



In order to determine which pairs have the same truth value, we draw a truth table as in the diagram.



We can see from the diagram that the conditional and the contrapositive have the same truth value.



The correct option is D.

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Answer:

11%

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A sales tax is placed on goods and services once the buyer and seller  agree on what the exchange of currency is.

In this case you take the tax on the 1625 and not the 1803.75.

The buyer agreed to buy the item for 1625 and the seller agreed to sell it for that amount. So the tax goes on 1625.

Tax amount = total price - selling price

Tax amount = 1803.75 - 1625

Tax amount = 178.75

That's not what you want. You want the % of the tax.

% Tax = (Tax Amount / Selling Price) * 100

% Tax = (178.75 / 1625) * 100

% Tax = 0.11 * 100

% Tax = 11%                        Answer

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4 0
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Read 2 more answers
The ratio of boys to girls at King Middle school is 3:2. What is the ratio of girls to all students?
Dominik [7]
The answer is:  " 2 :5 " ;  or, write as:  " 2/5 " . 
________________________________________________________
The ratio of 'girls' to 'all students' is:  "2: 5 " ;  or, write as:  " 2/5 ".
________________________________________________________
Explanation:
________________________________________________________
Given:  The ratio of boys to girls is:  " 3:2 " .  

Problem:  Find the ratio of "girls" to "all students:
________________________________________________________
Note:    This ratio of "boys to girls", which is " 3 : 2 " ; 
________________________________________________________
    →  can be expressed as " 3x: 2x"  ;  

in which the total number of students is:  " 3x + 2x " = 5x " .

   → The total number of students is represented as:  " 5x " .  
________________________________________________________
→  The ratio of "girls to boys" is:  "2x : 3x" .

→  {that is;  the "inverse" of the ratio of "boys to girls"} ;  
→  {that is;  the "inverse" of  " 3x: 2x" } ;  →  which is:  " 2x : 3x " .
________________________________________________________ 

The ratio of "girls" to "all students" is:  "2x : 5x "  ;  or " 2x/5x " ; 
                                             → Both "x" values cancel ;  {since: " x/x = 1 "} ; 
_________________________________________________________
       →  and we have the answer:  " 2 :5 " ;  or, write as:  " 2/5 " . 
_________________________________________________________
The ratio of 'girls' to 'all students' is:  " 2 :5 " ;  or, write as:  " 2/5 ".
_________________________________________________________
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andre [41]

the equation is made and the included values are indicated.

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