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4 years ago

(Discrete Math)

Mathematics

1 answer:

amid [387]4 years ago

3 0

Answer:

McManus killed Keaton

Step-by-step explanation:

As we know that only one is saying the truth, let's analyze who might that be.

When we read the four statements, we notice that Fenster and McManus are saying exactly the opposite, so they can't be both lying. One of them is saying the truth, let's see who is.

If Fenster is saying the truth, Soze killed Keaton. But Soze said McManus didn't kill Keaton and he is lying (because just Fenster is saying the true), that means McManus killed Keaton. We have a contradiction here (we knew Soze killed Keaton), so Fenster can't be saying the true.

Therefore, McManus is saying the truth and the other three are lying. Let's see there's no contradiction here:

McManus said Soze didn't kill Keaton and that's true. Fenster is lying, so Soze didn't killed Keaton, that matches what McManus said.

Hockney said McManus was in a meeting when Keaton was killed, as that's a lie, McManus wasn't on a meeting so he could had killed Keaton. Finally, Soze is also lying so McManus did kill Keaton.

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Set A = {−7, −4, 2, 14, 21, 34, 42}

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4 years ago

Read 2 more answers

Rita get paid $16 per hour for the first 8 hour she works each day.She earned 1and 1/2 times her hourly pay rate for the first t

djyliett [7]

Answer:

Rita's pay for Monday is $158.

Step-by-step explanation:

Rita's hourly pay for an 8-hour shift she works everyday is, $16.

If she works overtime she gets paid 1.5 times her hourly pay for every extra hour.

That is, if she works (8 + x) hours a day then the pay for the x hour is, 1.5x.

Rita's working hours on Monday is:

Started from 8:15 AM to 12:45 PM ⇒ 4 hours 30 minutes.

45 minutes lunch break ⇒ 12:45 PM + 45 minutes = 1:30 PM
Worked from 1:30 PM to 6:15 PM ⇒ 4 hours 45 minutes

It is provided that Rita does not get paid for lunch hour.

Rita's pay for Monday is computed as follows:

= (8:15 AM - 12:45 PM) + (1:30 PM - 6:15 PM)

= (4 hours 30 minutes) + (4 hours 30 minutes)

= (4 + 4) hours + (30 + 45) minutes

= (8 × 16) + (75 minutes × 16 × 1.5)

= 128 + (1.25 hours × 24)

= 128 + 30

= 158

Thus, Rita's pay for Monday is $158.

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3 years ago

Solve for x. angle a is 44, one side is 10

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