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3 years ago

Multi-Step Inequalities with Distributive Property Solve 3(x+4)>21

Mathematics

2 answers:

choli [55]3 years ago

6 0

Answer:

3 < x

Step-by-step explanation:

$\frac{3[x + 4]}{3} > \frac{21}{3} \\ \\ x + 4 > 7 \\ \: \: \: -\: 4 \: - 4 \\ \\ x > 3$

** The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

Arada [10]3 years ago

5 0

Answer:

x>3

Step-by-step explanation:

First distribute the 3 to the inside of the parentheses:
$3 \times x = 3x \\ 3 \times 4 = 12$
you should then get 3x+12>21
next you want to subtract over 12 from both sides:
$3x + 12 > 21\ \\ 3x > 9$
then divide 3 over on both sides
$3x > 9 \\ 9 \div 3 = 3 \\ x > 3$
you should then get x>3 for your final answer

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ollegr [7]

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3 years ago

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Find sin(a), cos(a), and tan(a). show your work.

katen-ka-za [31]

Answer:

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3 years ago

A superintendent of a school district conducted a survey to find out the level of job satisfaction among teachers. Out of 53 tea

frez [133]

Answer:

b. 1.15

Step-by-step explanation:

The z statistics is given by:

$Z = \frac{X - p}{s}$

In which X is the found proportion, p is the expected proportion, and s, which is the standard error is $s = \sqrt{\frac{p(1-p)}{n}}$

Out of 53 teachers who replied to the survey, 13 claim they are satisfied with their job.

This means that $X = \frac{13}{53} = 0.2453$

She find that the proportion of satisfied teachers nationally is 18.4%.

This means that $p = 0.184$

Standard error:

p = 0.184, n = 53.

$s = \sqrt{\frac{0.184*0.816}{53}} = 0.0532$

Z-statistic:

$Z = \frac{X - p}{s}$

$Z = \frac{0.2453 - 0.184}{0.0532}$

$Z = 1.15$

The correct answer is:

b. 1.15

5 0

3 years ago

the pathway of sams dive into the swimming pool can be represented by the equation h=-16t²+15t+12 (where t=time in seconds and h

aliya0001 [1]

Given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.

<h3>What is a Quadratic Equation?</h3>

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

Given the data in the question

Equation of the pathway of sams dive into the swimming pool is h = -16t² + 15t + 12.
Time t = 2.0 seconds
Height h = ?

Now, to get the height after 2 seconds, we substitute 2 for t in the equation.

h = -16t² + 15t + 12.

If t = 2

h = -16(2)² + 15(2) + 12

h = -16(4) + 30 + 12

h = -64 + 30 + 12

h = -64 + 42

h = -22ft

Therefore, given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ1

5 0

2 years ago

So just read yhe picture please

const2013 [10]

The correct answer is B). 6

Radius of inscribed circle of triangle HJK is 6 unit

Step-by-step explanation:

As shown in figure,

The triangle HJK has In-circle or inscribed circle of radius PL(or PM or PN)

Since, PL and PM is radius of same in-circle,

PL = PM

Given that PL=3x+4 and PM =6x-14

3x+4=6x-14

3x=18

x=6

Thus, The correct answer is B). 6

6 0

3 years ago