what is the solution to the equation 4(x+1) = 8? solve using distributive property

Answer:

Indeed, men and women are not the same. They have structural differences in their genetic makeup that make them different and compatible with each other. In addition, they have differences in character, behavior, strength and even emotional sensitivity.

Even the scriptures themselves speak of differences between the two: according to the book of Genesis, the woman was created from the rib of Adam, the first man on earth. With this, the woman, theoretically, has one more rib than the man.

Answer:

0

Step-by-step explanation:

for A

10+9+3+8+10

=40/5

=8

for B

5+11+2+7+16

=41/5

=8.2

difference between A and B

8.2-8

=0.2

approximately

=0

The probability that a particular passenger chooses chips and soda as a snack is 0.25 or 25%.

In mathematics, probability is considered as the chances a specific situation or event occurs.

For example, you can calculate the probability that it rains tomorrow based on general weather patterns.

For example,

if you throw a die, then the probability of getting 1 is 1/6.

Similarly, the probability of getting all the numbers from 2,3,4,5 and 6, one at a time is 1/6.

How to calculate the probability of two events happenning?

Now,

Given that:

0.5 x 0.5

= 0.25

= 25% (0.25 x 100)

Hence,  the  probability of a passenger choosing chips and soda as a snack is 0.25 or 25%.

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Answer:

$3.70

Step-by-step explanation:

4 quaters= 1$

4=1

8=2

12=3

7 dimes =70

so there for

$3.70

Answer:

$3. 70

Step-by-step explanation:

Each dime equals 10 cents. There are 7 dimes. 10+10+10+10=10+10+10= 70

Each quarter equals 25 cents. add 25, 12 times, 25,25,25,25,25,25,25,25,25,25,25,25=300. Just add a decimal.

Answer:

C.

Step-by-step explanation:

This is substitution method in solving simulteanous equations.

given y = 4x + 1

we will substitute y into 2y = -x-1

\(2(4x + 1) = - x - 1 \\ 8x + 2 = - x - 1 \\ 8x + x + 2 = - 1 \\ 9x + 2 = - 1 \\ 9x = - 1 - 2 \\ 9x = - 3\)

Therefore the answer is C.

\(\Large\maltese\underline{\textsf{A. What is Asked}}\)

Substituting the equation given into another equation will produce another equation. But which one?

\(\Large\maltese\underline{\textsf{B. This problem has been solved!}}\)

\(\bf{2y=-x-1}\) | substitute the required equation

\(\bf{2(4x+1)=-x-1}\) | solve in terms of x

\(\bf{8x+2=-x-1}\) | carry on solving

\(\bf{9x+2=-1}\) | carry on solving

\(\bf{9x=-3\)

\(\cline{1-2}\)

\(\bf{Result:}\)

                 \(\bf{=The\;third\;option}\)

\(\LARGE\boxed{\bf{aesthetics\not1\theta 1}}\)

Answer:

y=-12+2x

Step-by-step explanation:

The equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.

Hence, the correct answer is A. y = 2x - 12.

Given is an equation 6x - 3y = 36, we need to solve for y.

To solve the equation 6x - 3y = 36 for y, we need to isolate y on one side of the equation.

Here's the step-by-step process:

Start with the given equation: 6x - 3y = 36

Get rid of the constant term (36) on the right side by subtracting 36 from both sides:

6x - 3y - 36 = 36 - 36

6x - 3y = 0

Divide both sides of the equation by -3 to isolate y:

(6x - 3y) / -3 = 0 / -3

(6x)/(-3) - (3y)/(-3) = 0

-2x + y = 0

Add 2x to both sides to isolate y:

-2x + y + 2x = 0 + 2x

y = 2x

So, the equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.

Hence, the correct answer is A. y = 2x - 12.

Learn more about Equations click;

https://brainly.com/question/29657983

#SPJ6

Given the sequence:

7, -14, 28, -56,

To find the 7th term of the geometric sequence, use the formula below:

where,

a is the first term = 7

n is the number of terms = 7

r = common ratio =

Thus, we have:

The 7th term is -448

ANSWER:

A) -448

On the seventh day, the number of streams will be approximately 48 million (option D). Given that the number of streams increases by 20% per day, we can calculate the number of streams on each subsequent day.

Starting with 15 million streams on the first day, we can use the formula for compound interest to find the number of streams on the seventh day.

The formula for compound interest is:

A = P(1 + r)ⁿ

Where:

A is the final amount (number of streams)

P is the initial amount (15 million streams)

r is the daily growth rate (20% or 0.2)

n is the number of days

Plugging in the values, we have:

A = 15 million * (1 + 0.2)⁷

A ≈ 48 million

Rounding to the nearest million, we find that there will be approximately 48 million streams on the seventh day, which corresponds to option D.

Learn more about interest here: https://brainly.com/question/28792777

#SPJ11

Answer:

8x-4y=-4

-3x+4y=5

+

-----------------(adding equation)

5x=9

is a required answer

Answer: No solutions

Step-by-step explanation:

-2m + 5n = 6

-4m + 10n = 14

There are no solutions because when simplified down, the second equation is -2m + 5n = 7 which is not possible.

The value of x for this problem is given as follows:

Then the angle measures are given as follows:

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a quadrilateral, we have that the consecutive interior angles are supplementary.

Hence the value of x is obtained as follows:

x + x + 40 = 180

2x = 140

x = 70º.

More can be learned about supplementary angles at brainly.com/question/2046046

#SPJ1

There were 4 number of treatment conditions compared in this experiment for the given degree of freedom.

We have,

df = 3, 36

Now,

We know that,

Degree of freedom (df) = Number of treatments (t) - 1

i.e.

df = t - 1

So,

We have,

df = 3

Now,

Substituting the values,

We get,

3 = t - 1,

i.e.

t = 4

So, number of treatments conditions = 4

Hence we can say that there were 4 number of treatment conditions compared in this experiment for the given degree of freedom.

Learn more about treatments conditions here

https://brainly.com/question/23851035

#SPJ4

Answer:

1 = Communative property of addition

2 = distribution property

3 = Associative property of multiplacation

4 = Communative property of multiplacation

5 = Associative property of addition

Hope this helps! :) Please Ignore my bad spelling

Also, if you think this explanation is good, please mark it brainliest! It would help a lot! Thanks!

Answer:

11xy+2x

Step-by-step explanation:

x(11y + 2)

11y(x)+2(x)=11xy+2x

Hope this helps!

Please mark as brainliest if correct!

Answer:

\(11xy + 2x\)

Step-by-step explanation:

Using the distributive property means that we multiply everything that is inside the brackets with everything that is outside the brackets.

For this question that means that we will multiply \(x\) with both \(11y\) and 2:

\(x(11y + 2)\)

⇒ \(x \times 11y + x \times 2\)

⇒ \(11xy + 2x\)

Therefore \(x(11y + 2)\) rewritten using the distributive property is \(11xy + 2x\).

Learn more about the Distributive Property here:

https://brainly.com/question/27543580

The mean square errors for the three-month and four-month moving average forecasts shown below.

How closely a regression line resembles a set of data points is determined by the Mean Squared Error. It is a risk function that corresponds to the squared error loss's expected value. The average, more particularly the mean, of errors squared from data related to a function is used to determine mean square error.

Given:

According to the Given data we construct a table as

Month   Sales   3- month           4- month      3- month     4- month      

                         moving             moving         squared       squared

                        averages            averages      error           error

1             9.6      

2             9.2

3             9.3

4             9.2     9.367                                        0.111            

5             9.2     9.400                   9.450           0.160        0.123    

6             9.2     9.500                  9.500            0.010        0.140    

7             9.2     9.733                   9.625            0.001         0.006  

8             9.2     9.733                   9.725            0.751          0.776  

9             9.2     10.000                 9.950           0.010           0.002  

10            9.2     10.067                  9.975            0.218          0.141  

11             9.2     10.033                   9.950          0.401           0.322

12            9.2     9.633                   9.975             0.004          0.031

13                       9.567                 9.650    

                                                        MSE             0.185            0.176

Learn more about mean square errors here:

https://brainly.com/question/29662026

#SPJ4

The equation of the tangent plane to the surface z(x, y) = x²y / (x² + y²) at the point P(3, 5) is 22x - 8y + z = 88.

To find the equation of the tangent plane, we need to determine the partial derivatives of the surface equation with respect to x and y. Taking the partial derivative with respect to x, we obtain z_x = 2xy(x² + y² - x²y) / (x² + y²)². Evaluating this derivative at point P(3, 5), we have z_x = 2(3)(5)(34) / (34)² = 30 / 34 = 15 / 17.

Next, we calculate the partial derivative with respect to y, which gives us z_y = x²(x² - 2y²) / (x² + y²)². Substituting the coordinates of point P(3, 5) into this derivative, we get z_y = (3²)(3² - 2(5)²) / (3² + 5²)² = 9(-11) / 289 = -99 / 289.

Now that we have the partial derivatives, we can determine the equation of the tangent plane using the point-normal form. The equation is given by z - z0 = z_x(x - x0) + z_y(y - y0), where (x0, y0, z0) is the point P(3, 5, z0) and z_x, z_y are the partial derivatives evaluated at P.

Substituting the known values, we have z - z0 = (15/17)(x - 3) + (-99/289)(y - 5). Simplifying this equation yields z - z0 = (15/17)x - (45/17) + (-99/289)y + (495/289).

Since the point P(3, 5) lies on the tangent plane, we can substitute these coordinates into the equation to find z0. Plugging in x = 3 and y = 5, we obtain z - z0 = (15/17)(3) - (45/17) + (-99/289)(5) + (495/289).

Simplifying further, we have z - z0 = 45/17 - 45/17 - 495/289 + 495/289 = 0. Thus, z0 = z.

Combining all the terms, the equation of the tangent plane is 15x - 99y + 17z = 760.

To find the gradient at point P, we take the partial derivatives of z with respect to x and y and evaluate them at P. The gradient vector is given by ∇z = (z_x, z_y) = (15/17, -99/289).

Finally, we find the angle between the gradient vector and the x-axis using the dot product formula. Let a be the angle, then cos(a) = ∇z · (1, 0) / (∥∇z∥ ∥(1, 0)∥) = (15/17) / (15/17) = 1. Hence, the angle a is 0 degrees.

Learn more about surface equation: brainly.com/question/31504329

#SPJ11

someone who orders a product through a catalog is responding to Direct marketing.

The act of presenting an offer directly to a target client and providing them with a way to respond immediately is known as direct marketing. It is sometimes referred to as direct response marketing among practitioners. Advertising, in contrast, is a form of mass messaging.

Any form of marketing that communicates or distributes to consumers directly, as opposed to through a third party, is considered direct marketing.

Businesses employ the catalog marketing strategy to combine a variety of products in a single printed piece or online store in the hopes that the recipient would purchase at least one item. Using the information in the catalog, customers make direct purchases from the catalog sender through phone, return mail, or online.

To know more about Direct marketing here:

https://brainly.com/question/14008832#

#SPJ4

Step-by-step explanation:

4x^2 +10+ 2(2x+4)

4x^2 + 10x+4x+8

4x^2 +14x+8

4x^2+16x-2x -8

4(x+4)+2(x+4)

4+2(x+4)

6(x+4)

The correct answer is  you will get approximately £1.30 for one Australian dollar.

To find out how many British pounds you will get for one Australian dollar, we need to determine the exchange rate between the British pound and the Australian dollar.

Given that £1 = US$1.11316 and A$1 = US$0.8558, we can calculate the exchange rate between the British pound and the Australian dollar as follows:

£1 / (US$1.11316) = A$1 / (US$0.8558)

To find the value of £1 in Australian dollars, we can rearrange the equation:

£1 = (A$1 / (US$0.8558)) * (US$1.11316)

Calculating this expression, we get:

£1 ≈ (1 / 0.8558) * 1.11316 ≈ 1.2992

Therefore, you will get approximately £1.30 for one Australian dollar.

Learn more about statistics here:

https://brainly.com/question/30915447

#SPJ11

Answer:

Since the equation is n(n-1) where n is even, (n-1) will result to an odd number and when multiplied the answer with n( an even number), this will result to an EVEN NUMBER. Therefore, in any number that n can substitute, whether even or odd, the answer will always result to an even number

Step-by-step explanation:

The True statements are It is less likely that your friend is late for more than 12 minutes than he is late for less than 2 minutes and  The standard deviation of the amount of time that your friend is late is at about 3.46 minutes. The correct answer is option a and c.

A. It is less likely that your friend is late for more than 12 minutes than he is late for less than 2 minutes.

This statement is true. Since the amount of time your friend is late follows a continuous uniform distribution between 1 and 13 minutes, the probability of him being late for more than 12 minutes is equal to the probability of him being late for less than 2 minutes. The probability is evenly distributed across the entire range of the uniform distribution.

B. The mean amount of time that your friend is late is 7 minutes.

This statement is false. The mean (or expected value) of a continuous uniform distribution is calculated by taking the average of the lower and upper limits of the distribution. In this case, the mean would be (1 + 13) / 2 = 7, so the statement is correct. However, it's important to note that the given information only states that the amount of time your friend is late follows a continuous uniform distribution; it does not provide direct evidence or calculations for the mean.

C. The standard deviation of the amount of time that your friend is late is at about 3.46 minutes.

This statement is true. For a continuous uniform distribution, the standard deviation can be calculated using the formula: standard deviation = (b - a) / sqrt(12), where 'a' is the lower limit and 'b' is the upper limit. In this case, the standard deviation would be (13 - 1) / sqrt(12) ≈ 3.46 minutes.

D. None of the above.

This statement is incorrect because statements A and C are true.

The correct answer is option a and c.

To know more about standard deviation refer to-

https://brainly.com/question/29115611

#SPJ11

The sales tax on a jacket priced at $575 with a sales tax rate of 7% is:

$575 x 0.07 = $40.25

So the sales tax on the jacket is $40.25.

To find the volume of the solid with equilateral triangular cross-sections, we need to integrate the area of each equilateral triangle over the interval [0,π]. The area of an equilateral triangle with side length s is given by (s^2√3)/4. Since the triangles have bases running from the x-axis to the curve y=2√sin x, their side lengths will be 2√sin x. Therefore, the volume is given by the integral:

V = ∫[0,π] (2√sin x)^2√3/4 dx

Simplifying, we get:

V = √3∫[0,π] sin x dx

Using the substitution u = cos x, we get:

V = √3∫[-1,1] √(1 - u^2) du

Using the formula for the integral of the half-circle, we get:

V = (√3/2)π

Therefore, the volume of the solid is (√3/2)π.

To find the volume of the solid with square cross-sections, we need to integrate the area of each square over the interval [0,π]. Since the squares have bases running from the x-axis to the curve y=2√sin x, their side lengths will be 2√sin x.

Therefore, the volume is given by the integral:

V = ∫[0,π] (2√sin x)^2 dx

Simplifying, we get:

V = 4∫[0,π] sin x dx

Using the identity ∫sin x dx = -cos x + C, we get:

V = -4cos x ∣[0,π]

Since cos π = -1 and cos 0 = 1, we get:

V = -4(-1 - 1) = 8

Therefore, the volume of the solid is 8.

To learn more about volume : brainly.com/question/28058531

#SPJ11

Answer:

1

Step-by-step explanation:

V= 1/3^r²h

V= (^r²h) ÷ 3

Cross multiply

3V = ^r²h

Divide both side by the coefficient of r²

3V ÷ (^h) = r²

Find the root of both side

r = square root of 3V ÷ (^h)

Answer:

56n - 35

Step-by-step explanation:

6n + 5(10n - 7) ← multiply each term in the parenthesis by 5

= 6n + 50n - 35 ← collect like terms

= 56n - 35

Answer:

Find the relative frequency for the event ​"heads​" for each friend:

Friend 1: 0.59 (41/70)

Friend 2: 0.7 (49/70)

Friend 3: 0.37 (26/70)

If the friends combine their results to get 116 heads and 94 ​tails, what is the relative frequency for the event ​"heads​"?

0.55 (116/210)

Suppose each friend flips a coin 700 times. Is there a value you would expect the relative frequency for the event ​"​heads" to be close​ to?

For Friend 1, basing it off the 0.59 frequency from earlier, I would expect the heads to be around 413.

Friend 2, 490

Friend 3, 259

Answer:

120 cubic inches.

Step-by-step explanation:

The formula for volume is length times width times height. So if you take the length (10), and you take the width (3), and then you multiply them together you get 30. Now all you have to do it multiply that to the height (4) so you get 120. So your answer should be 120 cubic inches.

10 × 3 = 30

30 × 4 = 120

I hope this helps you and you understand now. Have a nice day! :D

Answer: 1/2 * 6 = 3

Step-by-step explanation: