All categories

3 years ago

Solve for x 6(x+5)-3(x-2)=12x+18

Mathematics

2 answers:

serg [7]3 years ago

7 0

6x +30 -3x +6 =12x +18

3x +36 =12x +18

3x-12x = 18 -36

-9x = -18 | -1

9x =18

x= 18/9

x=2

ollegr [7]3 years ago

6 0

$6(x+5)-3(x-2)=12x+18\\\\6\times x+6\times5-3\times x-3\times(-2)=12x+18\\\\6x+30-3x+6=12x+18\\\\3x+36=12x+18\ \ \ \ \ |subtract\ 36\ from\ both\ sides\\\\3x=12x-18\ \ \ \ |subract\ 12x\ from\ both\ sides\\\\-9x=-18\ \ \ \ \ |divide\ both\ sides\ by\ (-9)\\\\\boxed{x=2}$

You might be interested in

Use elimination to determine which ordered pair is the solution to the system of equations below. Use the space below to show al

lidiya [134]

Answer:

in the ordered pair; ( x = 27/4 , y = 1/4 )

Step-by-step explanation:

Given that:

The system of the equation shown below is:

-2x - 14y = 10

2x + 2y = 14

We are to use the elimination method to determine the ordered pair.

From the above equation:

-2x - 14y = 10 --- (1)

2x + 2y = 14 --- (2)

Add both equation 1 and 2 together in order to eliminate x, then we can solve for y first.

-2x - 14y = 10

2x + 2y = 14

0 - 16y = -4

- 16 y = - 4

divide both sides by - 16, Then:

-16y /-16 = -4/-16

y = 1/4

Since y = 1/4, Then from equation (2), x will be :

2x + 2y = 14

2x + 2(1/4) = 14

2x + 1/2 = 14

2x = 14 - 1/2

2x = 13.5

x = 13.5/2

x = 27/4

Thus, in the ordered pair; ( x = 27/4 , y = 1/4 )

6 0

3 years ago

Please help me with this question :)

egoroff_w [7]

Answer:

Plot $3$ and $-3$

Step-by-step explanation:

Given:

$|2n| = 6$

Solving for the positive part of the equation:

$2n = 6 \\ \frac{2n}{2} = \frac{6}{2} \\ n = 3$

Solving for the negative part of the equation:

$-2n = 6 \\ \frac{-2n}{-2n} = \frac{6}{-2} \\ n = -3$

3 0

3 years ago

Plz help;..........................

shtirl [24]

Are you in kindergarten
divide 10x^3 by 5x to get 2x^2 and then divide -25x by 5x to get -5

Answer is 2x^2-5
Choice #1

4 0

3 years ago

Solve the following equation for x to find the total number of people who became members of a social networking site for a certa

Aleksandr [31]

Answer:

x = 360

Step-by-step explanation:

Reorder the terms:

x = 72 + 0.8x

Solving

x = 72 + 0.8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.8x' to each side of the equation.

x + -0.8x = 72 + 0.8x + -0.8x

Combine like terms: x + -0.8x = 0.2x

0.2x = 72 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0

0.2x = 72 + 0.0

0.2x = 72

Divide each side by '0.2'.

x = 360

Simplifying

x = 360

4 0

3 years ago

The city of Omaha decided to build a new parking garage in hopes of luring more people to the Old Market district.The city will

dimulka [17.4K]

Answer:

Given:

Mean, u = 135

Sample size, n = 42

Sample mean, x' = 126

Standard deviation = 16

Significance level = 0.05

1) The null and alternative hypotheses:

H0 : u = 135 (the revenue per day is $135)

H1 : u < 135 (the revenue per day is less than $135)

2) In this case, we have a left tailed test.

Let's use the formula:

$= \frac{x' - u}{s/ \sqrt{n}} = \frac{126 - 135}{16 / \sqrt{42}} = -3.645$

t = - 3.645

Critical value: at a significance level of 0.05, left tailed test,

tcritical = -1.683

We reject null hypothesis, H0, since t calculated, -3.645 is less than tcritical, -1.683.

3) Given, a = 0.05, df = 41, left tailed test,

t-value = 2.02

For the corresponding confidence interval, we have:

$CI = (x' - \frac{t * \sigma}{\sqrt{n}}, x' + \frac{t * \sigma}{\sqrt{n}})$

$CI = (126 - \frac{2.02 * 16}{\sqrt{42}}, 126 + \frac{2.02 * 16}{\sqrt{42}})$

CI = (121.014, 130.986)

4) Conclusion:

We reject the estimated potential revenue advised by the consultant, H0, as it is too high, because the t-calculated falls in rejection region(i.e, less than critical value), also the upper limit of the confidence interval is less than $135.

5 0

3 years ago