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3 years ago

Negate: "In every good book there is a plot twist or surprise ending."

Mathematics

1 answer:

uysha [10]3 years ago

7 0

Answer:

"There exists a good book that does not have a plot twist and does not have a surprise ending".

Step-by-step explanation:

We negate the universal quantifier "for all" or equivalently "In every" using the existential quantifier "There exists". So, we negate "In every good book" as "There exists a good book". In the other hand, we have the propositions

P: there is a plot twist

Q: there is a surprise ending,

and the conjunction

P ∨ Q. We negate this conjunction using the De Morgan's Laws as

¬(P∨Q) = ¬P∧¬Q

i.e., does not have a plot twist and does not have a surprise ending. Therefore, we negate "In every good book there is a plot twist or surprise ending" as "There exists a good book that does not have a plot twist and does not have a surprise ending".

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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Lets write down what we know...

Laura walks 3/5 mile to school everyday

Laura=3/5mile

Isaiah's walk is 3 times as long as Lauras, so

Isaiah=Laura*3

We know how far Lauras walk is so we can solve for Isaiah's walk

Isaiah=3/5*3 (or Isaiah=3/5+3/5+3/5 if thats easier for you to solve for)
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Now we know the answer! Great, Isaiah walks 9/5 miles to school each day. But 9/5 is an improper fraction, so lets convert it to a mixed number.

9/5=

To solve for this, we have to find out how many times 5 can go into 9. 5 goes into 9 one time with a remainder of 4, so we can write the mixed number as.

9/5= 1 4/5

Isaiah walks 9/5miles or 1 4/5 miles. Both are correct.

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