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3 years ago

The statement p → q represents "If a number is doubled, the result is even.”

1 answer:

4 0

The inverse of an implication p ⇒ q is ¬p ⇒ ¬q (where ¬ means "not", denoting the logical negation).

Compare this to the converse and contrapositive of p ⇒ q.

Converse: q ⇒ p

Contrapositive: ¬q ⇒ ¬p

(in other words, the contrapositive is the inverse of the converse)

Then the inverse of the given statement is

"If a number is not doubled, then the result is not even."

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

A department store sold 51 51 shirts one day. All short-sleeved shirts cost $14.00 $ 14.00 each and all long-sleeved shirts cost

Dmitrij [34]

Answer:

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

Step-by-step explanation:

We can solve this question by a system of equations.

I am going to say that:

x is the number of short-sleeved shirts sold.

y is the number of long-sleeved shirts sold.

A department store sold 51 shirts one day.

This means that $x + y = 51$

All short-sleeved shirts cost $14.00 each and all long-sleeved shirts cost $23.00 each. Total receipts for the day were $921.00.

This means that

$14x + 23y = 921$

How many of each kind of shirt were sold?

We have to solve the system of equations.

$x + y = 51$

$x = 51 - y$

--------------

$14x + 23y = 921$

$14(51 - y) + 23y = 921$

$714 - 14y + 23y = 921$

$9y = 207$

$y = \frac{207}{9}$

$y = 23$

--------

$x = 51 - y = 51 - 23 = 28$

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

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4 years ago

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Ksju [112]

Answer:

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Step-by-step explanation:

If you factor it out since both are perfect squares you would place an x on each side and then find the square root of 144, which is 12 and put a positive and a negative in each parenthesis.

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3 years ago