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Debora [2.8K]
3 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]3 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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A zoo has 15 emperor penguins The emperor penguins make up 30% of all the penguins at the zoo. How many penguins live at the zoo
r-ruslan [8.4K]

Let x + 15 = total penguins

15/ (x +15) = .30

15 = .30x + 4.5

.30x  = 10.5

x = 35

Total penguins = 15 + 35 = 50

Double Check

15 / 50 * 100 = 30%  Correct!!!


3 0
3 years ago
A.3.5 <br><br> B.-2.5<br><br> C.-5.5<br><br> D.2.5
mart [117]
The answer is 2.5 because the point is on -1.5, so -1.5+4=2.5
7 0
3 years ago
The square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole. Fraction: D
Igoryamba

Answer:

Fraction = \frac{19}{50}

Decimal = 0.38

Percent = 38%

Step-by-step explanation:

Number of shaded rectangles = 38

Total number of rectangles = 100

Fraction represented by the shaded area = \frac{\text{Number of blocks shaded}}{\text{Total number of blocks}}

                                                                     = \frac{38}{100}

                                                                     = \frac{19\times 2}{50\times 2}

                                                                     = \frac{19}{50}

Decimal form of the shaded area = \frac{38}{100} =  0.38

Percent of the shaded area = \frac{38}{100} = 38%

7 0
3 years ago
I’m confused on this one
never [62]
I think its 90 degrees. 
6 0
3 years ago
Read 2 more answers
Rodger bowled seven games last week. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the median of Rodger's score?
Damm [24]

Answer

The median is 155

Step-by-step explanation:

You get the numbers from least to greatest then the middle number is your median.

3 0
3 years ago
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