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Debora [2.8K]
2 years ago
10

Which of the following is a solution of the system x – 2y < 4 and y > – 2x – °5?

Mathematics
1 answer:
Nutka1998 [239]2 years ago
8 0

Answer: B

Step-by-step explanation:

Given the two systems of inequality to be:

x – 2y < 4

Rearrange the equation,

X - 2y < 4

-2y < 4 - x

The sign will change as we divide both sides by -2

Y > -2 + x/2

Y > x/2 - 2 ...... (1)

and

y > – 2x – 5 ..... (2)

Multiply (1) by 2 and (2) by 1/2

2y > x - 4

y/2 > -x - 5/2

Since the inequality sign of the two are the same, you can eliminate x by addition.

2 1/2 y > - 4 5/2

Change mixed fraction to improper fraction.

5y/2 > -13/2

Cross multiply

10y > -26

y > -26/10

y > - 2.6

Base on the value got for y, the correct answer is B ( -8, 2 ) because only option B and D has negative value for x and y is not equal to zero.

You confirm by plugging in the value in the two inequality equations.

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Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the ta
german

Based on the number of songs in each genre that Josiah listened to, the statements about his solution that are true are:

  • He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
  • He did not multiply the numerator and denominator by the correct number to equal 1,500.
  • He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.

<h3>What did Josiah do wrong?</h3>

To find the average of the number of rock songs, he should have taken the average of rock songs he listened to which were 4 and 6:

= (4 + 6) / 2

= 5

Because he has a total of 1,500 songs on his player, he should have multiplied both the numerator and denominator by a number that would lead to 1,500 which is 75 and not 30.

Find out more on averages at brainly.com/question/13832161.

#SPJ1

7 0
1 year ago
Maggie is displaying paperback and hardback books on her book shelf. The ratio of hardback books to total books is 5 to 13. Whic
lubasha [3.4K]

Answer:

Total Paperback books = 8x , where x is any positive number

Step-by-step explanation:

Let

The total books are = 13x   ; where x is any positive number

As given,

The ratio of hardback books to total books is 5 to 13.

⇒Hardback books = \frac{5}{13}× Total books

⇒Hardback books = \frac{5}{13}× 13x = 5x

So, Paperback books = Total books - Hardback books

                                    = 13x - 5x

                                    = 8x

⇒Total Paperback books = 8x

8 0
2 years ago
Is 9x=270 addition property of equality or symmetric property?
Ede4ka [16]
This is the symmetric property, for you divide 9 to both sides to get x, instead of adding (addition property of equality)

So symmetric property should be your answer
Hope this helps
7 0
3 years ago
Read 2 more answers
What is 3.754×10^5 than round it to the tenth
saul85 [17]

Answer:

375,400

Step-by-step explanation:

  1. 3.754*10^5
  2. 10^5=100,000
  3. 3.754*100,000
  4. 375,400

YaYYYY u got it! =)

5 0
3 years ago
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Can i get some help? i don't understand how to work this out
KengaRu [80]

Answer:

76

Step-by-step explanation:

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4 0
1 year ago
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