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Step2247 [10]
3 years ago
8

Solve –4(6x + 3) = –12(x + 10).

Mathematics
1 answer:
iren2701 [21]3 years ago
4 0

Answer:

B

Step-by-step explanation:

distribute parenthesis on both sides of the equation

- 24x - 12 = - 12x - 120 ( add 12x to both sides )

- 12x - 12 = - 120 ( add 12 to both sides )

- 12x = - 108 ( divide both sides by - 12 )

x = 9 → B


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g Given the following premises: (1) a∧(b∨a) (2) ~c→~a (3) ~g→~a (4) g→e (5)~(d∨h) Prove the Conclusion: c∧~h?
KIM [24]

Answer:

See the argument below

Step-by-step explanation:

I will give the argument in symbolic form, using rules of inference.

First, let's conclude c.

(1)⇒a  by simplification of conjunction

a⇒¬(¬a) by double negation

¬(¬a)∧(2)⇒¬(¬c) by Modus tollens

¬(¬c)⇒c by double negation

Now, the premise (5) is equivalent to ¬d∧¬h which is one of De Morgan's laws. From simplification, we conclude ¬h. We also concluded c before, then by adjunction, we conclude c∧¬h.

An alternative approach to De Morgan's law is the following:

By contradiction proof, assume h is true.

h⇒d∨h by addition

(5)∧(d∨h)⇒¬(d∨h)∧(d∨h), a contradiction. Hence we conclude ¬h.    

8 0
3 years ago
Rida and elisa are each paid by the hour. rida worked 5 1\2. hours and earned 77. elisa worked 3 3\4 HOURS AND EARNED 60. WHOSE
skad [1K]
Rida:
5 1/2 :77
5.5 : 77
Divide both sides by 5.5 to get $/hour:
1:14

Elisa:
3 3/4:60
3.75:60
Divide both sides by 3.75 to get $/hour:
1:16

16 is bigger than 14 so Elisa earns more.

Hope this helps :)

5 0
3 years ago
What is the value of x? Enter your answer, as a decimal, in the box.
nlexa [21]

Whats the problem for this?

5 0
3 years ago
PLEASE HELP IM STUCK
Sloan [31]

Answer:

If I'm not mistaken that is the answer

4 0
2 years ago
How many grams must be adde to 970g to make 1 and a half kg
madam [21]

Answer:

530 grams

Step-by-step explanation:

970 grams = 0.970 kg

1 kg = 1000 grams

Thus: 500+30 = 530 grams

3 0
3 years ago
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