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3 years ago

Which of the following is the correct graph of the compound inequality 4p + 1 > −11 or 6p + 3 < 39?

Mathematics

2 answers:

adoni [48]3 years ago

5 0

Answer:

D. Number line with shading everywhere

1. p>-3

2. p<6

Step-by-step explanation:

1. 4p+1>-11

Subtract by 1 both sides of equation.

4p+1-1>-11+1

Simplify.

4p>-12

Divide by 4 from both sides of equation.

4p/4>-12/4

Simplify, to find the answer.

-12/4=-3

p>-3 is the correct answer.

____________________________

2. 6p+3<39

Subtract by 3 from both sides of equatoin.

6p+3-3<39-3

Simplify.

39-3=36

6p<36

Divide by 6 from both sides of equation.

6p/6<36/6

Simplify, to find the answer.

36/6=6

p<6 is the correct answer.

D is the correct answer.

photoshop1234 [79]3 years ago

4 0

Answer:

B. Number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right.

Step-by-step explanation:

Given compound inequality,

4p + 1 > −11 or 6p + 3 < 39,

4p > - 11 - 1 or 6p < 39 - 3

4p > -12 or 6p < 36

p > -3 or p < 6

⇒ -3 < p < 6

⇒ (-3 6)

That is, number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right.

Option 'B' is correct.

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3 years ago

Question : A square game board is divided into smaller squares, each with sides one-ninth the length of the sides of the board.

bagirrra123 [75]

Answer:

Therefore the game board is divided into 81 smaller squares.

Step-by-step explanation:

Given that, there is a square game.

Consider x be length of one side the square.

The volume of the square is = side ×side

=x² square units

Since the length of side of smaller square is one-ninth of the game board.

Then one side length of the smaller square is $\frac19x$ units.

The area of a smaller square is $=(\frac19x)\times (\frac19x)$

$=\frac{1}{81}x^2$

Let a number of square is formed from the game board.

a ×The area of one smaller square= The area of game board.

According to the problem,

$a\times (\frac{1}{81}x^2)=x^2$

$\Rightarrow a =\frac{x^2\times 81}{x^2}$

$\Rightarrow a= 81$

Therefore the game board is divided into 81 smaller squares.

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3 years ago

your health insurance premium is 4211 annually if your employer pays 80% and you are paid monlthy how much is deducted from each

PIT_PIT [208]

71.83 is taken away from your monthly check. $4,211 - 80% = $842.20.

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If 15% of 200 apples are bad, how many apples are bad?

jarptica [38.1K]

<h3>given:</h3>

apples= 200

bad apples= 15%

how many apples are bad.

<h3>solution:</h3>

$200 \times \frac{15}{100}$

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Step-by-step explanation:

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