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3 years ago

Solve the inequality Show your work-5/2(3x+4)<6-3x

Mathematics

1 answer:

Dafna11 [192]3 years ago

5 0

Answer:

The answer to your question is: x > - 32/9

Step-by-step explanation:

-5/2(3x+4)<6-3x

Multiply by 2 -5(3x + 4) < 12 - 6x

Simplify -15x - 20 < 12 - 6x

Add +6x -15x + 6x -20 < 12 - 6x + 6x

Simplify - 9x - 20 < 12

Add + 20 -9x -20 + 20 < 12 + 20

Simplify -9x < 32

Divide by -9 -9/-9 x > 32/-9

Simplify x > - 32/9

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HELPPPPPAPPAPASPPSPWPWW

tiny-mole [99]

Answer:

x=14

Step-by-step explanation:

8x-9+6x-7 = 180 (being adjacent angles)

14x-16 = 180

14x = 180+16

14x =196

x = 196/14

x =14

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2 years ago

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4. He drove at Puerto Princesa City to Taytay at an average speed of 40 kph

dexar [7]

Step-by-step explanation:

Distance = Speed x Time

Given Distance = 40km/h or kph

Time = 5 hours 15 minutes

$5 \frac{15}{60} \\ = 5 \frac{1}{4} \\ = 5.25hours$

Distance Travelled = 40 kph x 5.25 hours

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3 years ago

what is the probability of drawing two blue cards if the first card is not included in the second draw? simplify your answer com

BlackZzzverrR [31]

Answer:

5/14

Step-by-step explanation:

The total number of cards is 8

There are 5 blue cards

P(1st card is blue) = blue/total = 5/8

We take away a blue card

The total number of cards is 7

There are 4 blue cards

P(2nd card is blue) = blue/total = 4/7

The probability of blue blue is P(blue blue ) =

P(1st card is blue)*P(2nd card is blue) =

5/8* 4/7

20/56

We can divide the top and bottom by 4

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3 years ago

The average weight of the entire batch of the boxes of cereal filled today was 20.5 ounces. A random sample of four boxes was se

zhenek [66]

Answer:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s= 0.286$

And then the estimator for the standard error is given by:

$SE= \frac{0.286}{\sqrt{4}}= 0.143$

Step-by-step explanation:

For this case we have the following dataset given:

20.05, 20.56, 20.72, and 20.43

We can assume that the distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error for this case would be:

$SE= \frac{\sigma}{\sqrt{n}}$

And we can estimate the deviation with the sample deviation:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s= 0.286$

And then the estimator for the standard error is given by:

$SE= \frac{0.286}{\sqrt{4}}= 0.143$

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3 years ago

3 The volume of a cube is 8 ft}. What is the length of each<br> edge of the cube?

Sliva [168]

Answer: 2

Formula for cube is x^3 = 8
2^3 = 8

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3 years ago

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