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Liono4ka [1.6K]
3 years ago
9

On her lunch break, Audrey grabs a meal with her two coworkers. If everyone paid an equal amount of $8.50, then how much was the

total bill?
Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

$25.50

Step-by-step explanation:

3 people including Audrey went on the lunch break. If each spent $8.50, the total bill can be calculated in two ways

<u>Method 1 </u>

$8.50 x 3 = $25.50

<u>Method 2 </u>

$8.50 + $8.50 + $8.50 = $25.50

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Answer (B) 2/3

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We can use 2/3 to verify the remaining entries:

x=3: 4*2/3 = 8/3 = y(3)

x=4: (8/3)*(2/3)=16/9=y(3)

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3 years ago
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Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value o
photoshop1234 [79]
A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read  "if p then q" 



Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that 

|AB|^2=|BC|^2+|AC|^2.


An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2


This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True, 


the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2
then Triangle ABC is a right triangle with m(C)=90°

True


Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2

True


Contrapositive statement:

if The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2  then Triangle ABC is not a right triangle with m(C)=90°


True









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3 years ago
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