6x=1/2(2X +7)
Solve for x

Answers

Answer 1

Answer:

Step-by-step explanation:

6x=1/2(2x +7)            Multiply both sides by 2

2*6x = 1/2(2x + 7)*2

12x = 2x + 7              Subtract 2x from sides

12x-2x =2x-2x+7

10x = 7                      Divide by 10

x = 7/10

x = 0.7

Let's check it

6(0.7) = 4.2

1/2 (2*0.7 + 7)

1/2 (1.4 + 7)

1/2 ( 8.4)

4.2

Both sides check. The answer must be x = 0.7


Related Questions

calculate the total surface area of a cuboid with the following dimensions. 4m by 6m by 8m​

Answers

Answer:

V = 192 m^3

Step-by-step explanation:

The volume of a cuboid is given by

V = l*w*h

V = 4m * 6m *8m

V = 192 m^3

Expresa de. Forma fraccionaria y decimal 7%

Answers

Answer:

7% = .07 = [tex]\frac{7}{100}[/tex]

Step-by-step explanation:


A train is traveling at a speed of 60 miles per hour. What happens to the number of miles when the number of hours
changes?
Abebe babe

Answers

Answer:

It multiplies

Step-by-step explanation:

if the number of hours changes to example to 2 then you multiply 60 by 2 resulting in 120miles in 2 hours

Toyotas manufactured in the 1990s have a mean lifetime of 22.6 years, with a standard deviation of 3.1 years. The distribution of their lifetimes is not assumed to be symmetric. Between what two lifetimes does Chebyshev's Theorem guarantee that we will find at least 95% of the Toyotas

Answers

Answer:

The answer is "8.74 and 36.46 years"

Step-by-step explanation:

Mean (life-time)=22.6 years

standard deviation= 3.1 years

We must find out how many standard deviations are 95% of the data.  

[tex]1 - \frac{1}{k^2} = 0.95\\\\1 - 0.95 = \frac{1}{k^2}\\\\\frac{1}{k^2} = 0.05\\\\\frac{1}{0.05} =k^2\\\\k^2 = 20\\\\ k = 4.47[/tex]

Calculating the lower limit and upper limit:

[tex]Lower\ limit = 22.6 - 4.47(3.1) = 22.6 - 13.86 = 8.74\\\\Upper\ limit = 22.6 + 4.47(3.1) = 22.6 + 13.86 = 36.46[/tex]

Limit is 8.74 years to 36.46 years

Simplify 7a – 11b + 4ab – 6a + 5b.

Answers

7a-6a-11b+5b+4ab
=a-6b+4ab
Final answer

The theoretical mean of a distribution is also known as its ______________.

Answers

Answer:

skewness

Step-by-step explanation:

Average.

The average of a set of observations is the most important and useful measure of statistics and is a position measure, as it shows the positions of the numbers to which it refers. The average value is involved in several types of statistics and is examined in almost all statistical distributions. It is generally defined as the sum of the observations by their number. That is, it is the mathematical operation of finding the "mean distance" between two or more numbers.

Learn more about averages in https://brainly.com/question/22390452

The population of your hometown can be modeled by the equation P equals 2538 left parenthesis 1.025 right parenthesis to the power of t where t represents the number of years since 2000. What was the population of your hometown in 2000? By what percent did the population increase each year?

Answers

Answer:

2538

2.5%

Step-by-step explanation:

The population equayio since year 2000 can be modeled mathematically as :

P = 2538(1.025)^t

This is an exponential growth function which is represented by the general formula :

y = a(b)^t

Where, a is the initial population ;

b = growth factor ; b = (1 + r) where r = growth rate

Comparing the equations, the population in year 2000 represents the initial population, a = 2538

The percentage Rate of increase in population is :

(1 + r) = 1.025

r = 1.025 - 1

r = 0.025 ; 0.025 * 100% = 2.5%

Select the correct answer.
Given the following formula, solve for a.

Answers

Answer:  option C is correct

Step-by-step explanation:[tex]s=( \alpha +\beta +c)/2\\2s=\alpha +\beta +c\\2s-\beta -c=\alpha \\\alpha =2s-\beta -c[/tex]

12. What is the solution of the system of equations?
y = - 2x + 5
y = -2x + 20
no solution
(1,3)
infinitely many solutions

Answers

Answer:

no solutions

Step-by-step explanation:

y = - 2x + 5

y = -2x + 20

Set the two equations equal

- 2x + 5  = -2x + 20

Add 2x to each side

- 2x+2x + 5  = -2x+2x + 20

5 = 20

This is never true so there are no solutions

Answer:

no solution

Step-by-step explanation:

Hi there!

We are given this system of equations:

y=-2x+5

y=-2x+20

and we want to find the solution (the point in which the lines intersect)

There are 3 ways to solve a system, but let's use substitution in this case

Both equations are set to y, so they should be equal to each other via a property known as transitivity (if a=b and b=c, then a=c)

-2x+5=-2x+20 (the same as y=y)

Now let's solve for x

add 2x to both sides

5=20

In this case, we got an untrue statement. If this happens, then the lines won't intersect.

If they won't intersect, there's no solution

Hope this helps!

Here is a cube of side length 2.5 cm.
2.5 cm
Work out the surface area of this cube.

Answers

Answer:

2.5 x 2.5 = 6.25cm^2 (area of one side)

6.25 * 6 = 37.25cm^2 (area of all sides)

Step-by-step explanation:

it is going to be 60 centimeters cm cubed

find the x – intercepts of the graph of the function f(x) = x2 – 2x + 1

A) (1,0)
B) (-1,0)
C) (0,-1)
D) (0,1)

PLEASE HELP ME ITS URGENT , WILL MARK AS BRAINLIEST!!!

Answers

Answer:

[tex]\boxed{\sf A) ( 1,0) }[/tex]

Step-by-step explanation:

A quadratic function is given to us and we need to find the x Intercept of the graph of the given function . The function is ,

[tex]\sf \implies f(x) = x^2 -2x + 1 [/tex]

For finding the x intercept , equate the given function with 0, we have ;

[tex]\sf \implies x^2 -2x + 1 = 0 [/tex]

Split the middle term ,

[tex]\sf \implies x^2-x-x+1=0[/tex]

Take out common terms ,

[tex]\sf \implies x( x -1) -1( x -1) = 0[/tex]

Take out (x - 1 )as common ,

[tex]\sf \implies (x - 1 )(x-1) = 0[/tex]

Equate with 0 ,

[tex]\sf \implies x = 1,1 [/tex]

Therefore the root of the function is 1. Hence the x Intercept is (1,0)

Hence the x Intercept is (1,0) .

Step-by-step explanation:

x² - 2x + 1 = 0

x² - (x + x) + 1 = 0

x² - x - x + 1 = 0

x(x - 1) - 1(x - 1) = 0

(x - 1)(x - 1) = 0

x = 1

Hence,

Option A

find the radius of the circle

help is VERY appreciated!!​

Answers

Answer:

17/16 =x

Step-by-step explanation:

The triangle is a right triangle so we can use Pythagorean theorem

a^2+b^2 = c^2

x^2 + 9^2 = (x+8)^2

FOIL

x^2+81=x^2+16x+64

Subtract x^2 from each side

81 = 16x+64

Subtract 64 from each side

81 -64 = 16x+64-64

17 =16x

Divide by 16

17/16 =x

I’m so bad at this pls-

Answers

Answer:

[tex]5 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{5} \times \sqrt{10} \\ = \sqrt{5} \times \sqrt[]{5} \times \sqrt{2} \\ = 5\sqrt{2} [/tex]

Hope it is helpful....
5/2 would be your answer

Which point is the vertex of the angle below?

Answers

Answer:

C.I

Step-by-step explanation:

vertex is always the center point if that makes any sense

There are three separate, equal-size boxes, and inside each box there are four separate small boxes, and inside each of the small boxes there are three even smaller boxes. how many boxes are there all together?

Answers

Answer:

There are 51 boxes all together.

Step-by-step explanation:

Since there are three separate, equal-size boxes, and inside each box there are four separate small boxes, and inside each of the small boxes there are three even smaller boxes, to determine how many boxes are there all together, the following calculation must be done:

3 + 3 x 4 + 3 x 4 x 3 = X

3 + 12 + 36 = X

51 = X

Therefore, there are 51 boxes all together.

Using the Time Series Data for the US Nuclear Electric Power Production, calculate the exponential smoothing forecasts for 2005 through 2010 using alpha equals 0.2. Find the forecast error for each time period. If there is n

Answers

Answer:

????????????

I don't know

If there is a die that has 12 sides, that are numbered 1 to 12, what is the probability that she will roll either a 3 or a 9

Answers

Answer:

2/12 = 1/6

Step-by-step explanation:

To find the probability of something with an equal chance of each outcome, we can apply the formula (number of favorable outcomes)/(number of total outcomes). Because there is an equal chance for each side of the die to be landed on, we can apply this.

On a 12 sided die, there are 12 sides. Two of those sides are 3 and 9. Therefore, there are two favorable outcomes (3 and 9). There are 12 sides to choose from, so there are 12 total outcomes, making the probability 2/12 = 1/6

the sum of the digits of a two digit number is 5. If nine is subtracted from the number it will equal the reversed number. FIND THE EQUATION!! PLEASE!

Answers

Answer:

D

Step-by-step explanation:

A certain brand of coffee comes in two sizes. An 11.5-ounce package costs $.4.24 . A 27.8-ounce package costs $9.98.
Find the unit price for each size. Then state which size is the better buy based on the unit price.

Round your answers to the nearest cent.

Answers

Answer:

Small (11.5) is 37 cents per ounce.

Large (27.8) is 36 cents per ounce.

27.8 ounces is the better buy.

sin x =.3 what is the cos x =?

Answers

Answer:

If you're asking what cosine 3 is it's 0.9999986292247

Step-by-step explanation:

I don't really understand the question

Subtract 28.9 – 9.25 =_____

Answers

Answer:

19.65

Step-by-step explanation:

28.9-9.25=19.65

19.65
hope it helped!
please mark brainliest!!!

8P + 2 > 3P - 15

solve for p

Answers

Answer: p >-17/5

Step-by-step explanation:

Answer:

P = [tex]\frac{-17}{5}[/tex]

Step-by-step explanation:

Substract 3P from both sides:

5P  + 2 >  - 15

Subtract 2 from both sides:

5P > -17

Divide both sides by 5:

P = [tex]\frac{-17}{5}[/tex]

Q: The value of
[tex] \sqrt{3 - 2 \sqrt{2} } [/tex]
is:->

(a)
[tex] \sqrt{2 } - 1[/tex]

(b)
[tex] \sqrt{2} + 1[/tex]

(c)
[tex] \sqrt{3} - \sqrt{2} [/tex]

(d)
[tex] \sqrt{3} + \sqrt{2} [/tex]

Answers

Answer:

A

Step-by-step explanation:

[tex]\sqrt{3-2*\sqrt2}=\sqrt{(\sqrt2)^2-2\sqrt2*1+1^2}=\sqrt{(\sqrt2-1)^2}=\sqrt2-1[/tex]

the diameter of a circle is 7 inches.find it's area to the nearest 10th

Answers

Answer: d=7 inches

r=7/2

r=3.5

A=πr²

A=3.14(3.5inch)²

A=3.14×12.25inch²

A=38.465inch²

A≈38.47inch²

The triangles below are similar (being similar means there is a proportional relationship between the measures of each of the sides). What is the length of ED? (HINT: You can solve this question by using the MATH Ratio Table)

Answers

Answer:  B)  18 cm

=================================================

Work Shown:

ED/DF = AB/AC

x/24 = 12/16

16x = 24*12

16x = 288

x = 288/16

x = 18

------------

Explanation:

Because the triangles are similar, we can form the proportion shown above. There are many variations of the proportion that can happen, but they all lead to the same result x = 18.

So for instance, another proportion you could solve is ED/AB = DF/AC.

The key is to keep up the same pattern when forming the ratios.

What I mean by that is when I formed ED/DF I divided the vertical side over the horizontal side for triangle EDF. So to form the second fraction, we must do the same division (vertical over horizontal) for triangle ABC.

Noise levels at 5 volcanoes were measured in decibels yielding the following data: 127,174,157,120,161 Construct the 98% confidence interval for the mean noise level at such locations. Assume the population is approximately normal. Step 3 of 4 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

The critical value used is T = 3.747.

The 98% confidence interval for the mean noise level at such locations is (108.944, 186.656).

Step-by-step explanation:

Before building the confidence interval, we need to find the sample mean and the sample standard deviation.

Sample mean:

[tex]\overline{x} = \frac{127+174+157+120+161}{5} = 147.8[/tex]

Sample standard deviation:

[tex]s = \sqrt{\frac{(127-147.8)^2+(174-147.8)^2+(157-147.8)^2+(120-147.8)^2+(161-147.8)^2}{4}} = 23.188[/tex]

Confidence interval:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 5 - 1 = 4

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 4 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.747, which is the critical value used.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.747\frac{23.188}{\sqrt{5}} = 38.856[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 147.8 - 38.856 = 108.944  

The upper end of the interval is the sample mean added to M. So it is 147.8 + 38.856 = 186.656.

The 98% confidence interval for the mean noise level at such locations is (108.944, 186.656).

Instructions: Determine whether the following polygons are similar. If yes, type in the similarity statement and scale factor. If no, type 'None' in the blanks.


Similar: _____

Similarity Statement: ____ ∼ ____

Scale Factor: _____

Answers

Answer:

The polygons are not similar..

Step-by-step explanation:

We have given the two polygons which are parallelogram with the opposite sides 10.4 units, 3.74 units, 4 units and 1.7 units

For the polygons to be similar, ratios of both the polygons must be equal.

Lets check whether the two polygons are equal or not.

10.4/3.74 = 2.78

4/1.7 = 2.35

Therefore it is proved that both the polygons are not similar because both these ratios are not equal....

Evaluate I=∫(sinx+9y)dx + (4x+y)dy for the nonclosed path ABCD in the figure.

Answers

Close the path by connecting D to A. Then by Green's theorem, the integral over the closed path ABCDA - which I'll just abbreviate C - is

[tex]\displaystyle \oint_C (\sin(x)+9y)\,\mathrm dx + (4x+y)\,\mathrm dy \\\\ = \iint_{\mathrm{int}(C)}\frac{\partial(4x+y)}{\partial x} - \frac{\partial(\sin(x)+9y)}{\partial y}\,\mathrm dx\,\mathrm dy \\\\ = -5\iint_{\mathrm{int}(C)}\mathrm dx\,\mathrm dy[/tex]

(where int(C ) denotes the region interior to the path C )

The remaining double integral is -5 times the area of the trapezoid, which is

[tex]\displaystyle -5\iint_{\mathrm{int}(C)}\mathrm dx\,\mathrm dy = -\frac52\times(12+4)\times4=-160[/tex]

To get the line integral you want, just subtract the integral taken over the path DA. On this line segment, we have x = 0 and dx = 0, so this integral reduces to

[tex]\displaystyle\int_{DA}y\,\mathrm dy = \int_{12}^0y\,\mathrm dy = -\int_0^{12}y\,\mathrm dy = -72[/tex]

Then

[tex]\displaystyle \int_{ABCD} (\sin(x)+9y)\,\mathrm dx + (4x+y)\,\mathrm dy = -160 - (-72) = \boxed{-88}[/tex]

Do number 7 plz finding QR​

Answers

Answer:

QR = sqrt(147)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

7^2 + QR^2 = 14^2

49 + QR^2 = 196

QR^2 = 196-49

QR^2 = 147

Taking the square root of each side

QR = sqrt(147)

Perimeter (numerical)

Answers

Answer:

270 m

Step-by-step explanation:

Add up all the sides

P = 19 +18.8+18.8 +18.8+18.8+40.8+19+40.8+18.8+18.8+18.8+18.8

P = 270 m

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