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4 years ago

Solve 2(x+6)=2(6+13x).

Mathematics

2 answers:

m_a_m_a [10]4 years ago

6 0

Answer:

1/6 = x

Step-by-step explanation:

To solve 2(x+6)=2(6+13x) you have to distribute the coefficients first by turning 2(x+6)=2(6+13x) into 2x+16=12+26x.

Then, you have to subtract 2x from both sides to get 16=12+24x and subtract 12 from both sides to get 4=24x.

Lastly, divide both sides by 24 to get 4/24 = x and simplify it to 1/6 = x

Elden [556K]4 years ago

4 0

Answer:

2x=26x

It is not correct mathematically!

Step-by-step explanation:

Simplify the braces

2x+12=12+26x

You have 12 on both sides so you can simply remove it.

The result: 2x=26x

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Investigating Hollywood Movies

erik [133]

Answer:

a. Genre with highest mean is drama. Mean is 72.10

B. 10.46 is difference between means of comedy and horror

C. Horror has the lowest minimum value at 25.00

Action and comedy both have the highest maximum value at 93.00

Step-by-step explanation:

First create a table with the data provided like I did in the attachment. It would give a clearer picture of what your answers should be.

1. Which genre has the highest mean score?

From the table, we have the means as:

Action = 58.63

Comedy = 59.11

Drama = 72.10

Horror = 48.65

The genre with the highest score is drama at 72.10

2. Difference in mean score between comedy and horror

Mean of comedy = lc = 59.11

Mean of horror = ly = 48.65

Difference = lc-ly

= 59.11 - 48.65

= 10.46

3. The genre with lowest score is the genre with the lowest minimum value. This genre is horror and the lowest minimum is 25.00

The genre with highest minimum value is that whose maximum value is the highest out of all the genres. Both action and comedy have the highest maximum value at 93.00

7 0

3 years ago

What number is 30% of 20%

vfiekz [6]

0.06 or you can just put 6.

Basically, you have to multiply 30% x 20.

Glad I could help☺️

4 0

3 years ago

Read 2 more answers

The demand equation for a manufacturer's product is:

Juli2301 [7.4K]

From the given price function, we have;

(a) $\frac{dp}{dq} = - 13$

(b) The point elasticity of demand is 0.0256; inelastic demand

(d) Increase

<h3>How can the elasticity of demand be found?</h3>

a. The given function is presented as follows;

$p = 50 \times (151 - q) ^{0.02 \times \sqrt{q + 19} }$

Differentiating the above function with a graphing calculator and setting q = 150 gives;

$\frac{dp}{dq} = - 13$

b. The point elasticity of demand is given by the formula;

$e \: = \frac{dq}{dp} \times \frac{p}{q}$

When q = 150, we have;

P = 50

Which gives;

$e \: = \frac{1}{13} \times \frac{50}{150} = 0.0256$

The point elasticity of demand, E = 0.0256

The demand is inelastic (less than 1) when the quantity demanded is 150 units

c. If the quantity demanded decreases from 150 to 140 units, we have;

$0.0256 \: = \frac{1}{13} \times \frac{p}{140} =$

Which gives;

p = 46.6

The price when the quantity demanded decreases to 140 is $46.6

d. Given that increase in price, from 46.6 to 50, increases the quantity demanded from 140 to 150, therefore;

The manufacturer should increase the price, p to increase the revenue, R.

R = p × q

Learn more about elasticity of demand here;

brainly.com/question/19141990

3 0

2 years ago

What is y=2/5x+800 graphed

marusya05 [52]

Answer:

The graph is a line with a gradient of 2/5, and which runs through the coordinate (0, 800) and (0, -2000).

Step-by-step explanation:

You can graph any line by drawing a line through two points that are on that line, and thus are part of the magical equation, which accounts for the description of any point on that line.

In fact that is exactly how a computer draws a graph. It plots a dot, wich coordinates are calculated by substituting a value in the formula. Next it does that for another coordinate, very close to the first one. Now you have two dots next to each other... and so on.

Because computers can calculate extremely fast, within an instant, the result is a plotted chart, which in this case looks like the graph of a line.

It's graph is a line with a gradient of 2/5, which goes through the y-axis at the coordinate (0, 800).

You could find another pont on this line, by randomly choosing a simple number for x and substituting that value in the equation. For an example, you could substitute x =2 in y=2/5x+800.

y = 2/5x+800

x = 2

y = 2/5*(2)+800

y = 10/5+800

y = 2+800

y = 802

So you now have another point (5, 802)

In general it is best to search for the value of x, when you substitute y = 0.

y = 2/5x + 800

y = 0

0 = 2/5x + 800

2/5x = ( -800 )

x = 5/2 * ( -800 )

x = -4000 / 2

x = -2000

So you now have another point ( which goes through the x-axis ) at the coordinate (0, -2000).

Now you can draw the graph of y=2/5x+800.

8 0

3 years ago

A group of naturalists catch, tag and release 121 trout into a lake. The next day they catch and release 48 trout, of which 22 h

RideAnS [48]

Answer:

264.

Step-by-step explanation:

Let x represent the number of trout in the lake.

We have been given that a group of naturalists catch, tag and release 121 trout into a lake. The next day they catch and release 48 trout, of which 22 had been tagged.

Using proportions, we will get:

$\frac{\text{Total trouts}}{\text{Tagged trouts}}=\frac{48}{22}$