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Vinil7 [7]
3 years ago
12

a) Lets p, q, r represent the following statements: p: it is hot today. q: it is sunny r: it is raining Express in words the sta

tements using Bicondtional statement represented by the following formulas: i. q ↔ p ii. p ↔ ( q ˄ r ) iii. p ↔ ( q ˅ r) iv. r ↔ ( p ˅ q)
Mathematics
1 answer:
frutty [35]3 years ago
8 0

Answer:

Step-by-step explanation:

The arrow with two tips is translated as "if and only if". The symbols \land, \lor and read as "and" and "or"respectively.

If we have the following p: it is hot today. q: it is sunny r: it is raining

Then

i. q ↔ p : It is sunny if and only if it is hot today.

ii. p ↔ ( q ˄ r ) : it is hot today if and only if it is sunny and it is raining

iii. p ↔ ( q ˅ r) : it is hot today if and only if it is sunny or it is raining

iv. r ↔ ( p ˅ q) : it is raining if and only if it is hot today or it is sunny

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Three fourths minus three eighths equals​
MrRissso [65]

Answer:

3/8

Step-by-step explanation:

With unlike denominators find the Least Common Denominator (LCD)

LCD = 8

Multiplying numerators and denominators to get the LCD in all fraction denominators

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Then rewriting the equation with the equivalent fractions

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With like denominators we can operate on just the numerators

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8 0
1 year ago
Eric ran from school to the town monument and back again. On his way to the monument, he ran at 10kph and went back to school at
Aloiza [94]

Answer:

Distance = 10 km

Step-by-step explanation:

Let x be the number of hours taken from school to town and y be the number of hours taken back to the school

Then distance covered during first trip would be 10x (distance = speed*time) and during the second trip would be 8y. Both distances are equal.

=> 10x = 8y  

Dividing both sides by 2

=> 5x = 4y

=> 5x-4y = 0   ------------------(1)

<u><em>The total time for both the trips is:</em></u>

=> x + y = 2.25 -------------------(2)

Multiplying eq (2) by 5

=> 5x+5y = 11.25  ---------------(3)

Subtacting (3) from (1)

=> 5x-4y-5x-5y = 0-11.25

=> -4y-5y = -11.25

=> -9y = -11.25

Dividing both sides by -9

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Putting in (2)

=> x + 1.25 = 2.25

=> x = 2.25 - 1.25

=> x = 1 hr

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=> Distance = 10x

=> 10 ( 1 )

=> Distance = 10 km

3 0
3 years ago
in a toy store the ratio of the number of dolls to the number of teddy bears is 6:5 if the store have 240 dolls how many teddy b
Novay_Z [31]
240/6 = 40

So now we now that the ratio was multiplied by 40.

5(40) = 200

There are 200 teddy bears in the store.
6 0
3 years ago
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3 years ago
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Gnoma [55]

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