if 20 is one third of a number the result is the double of the number. what is the number?

Answer:

+6

Step-by-step explanation:

I think you are correct, I am not sure why. Maybe you ask your teacher and she or he made a mistake with this question.

The number line that represents the solution is x = 6 and x = 2

What is line segment ?

In mathematics, a line segment is a measurable path between two points. The sides of any polygon can be formed using line segments since they have a set length. The line segment AB is depicted in the illustration below. Its length, denoted by the space separating its ends, A and B, is indicated.

|x-4| + 5 = 7

| x - 4 | = 7-5

| x - 4 | = 2

1. Find when case is positive

 ( x - 4) = 2

  Add 4 on both the sides

 x - 4 + 4 = 2+4

 x = 6

2. Find when case is negative

- (x - 4) = 2

-x + 4 = 2

Add ( x - 1) on both sides

-x + 4 + x -1 = 2 + x  - 1

 x = 2

To learn more about line segment from the given link

https://brainly.com/question/2437195

#SPJ1

The graph representing the interaction between meditation. Scull’s prediction that engaging in both activities does not produce any more benefit than either activity alone was wrong.

The interaction between exercise and meditation is more pronounced, indicating that it is necessary to engage in both activities to achieve better grades. Students who meditate and exercise regularly received better grades than those who did not meditate or exercise at all. According to the table of means, students who exercised but did not meditate had a mean of 3.6, students who meditated but did not exercise had a mean of 3.5, students who did not meditate or exercise had a mean of 2.5, and students who meditated and exercised had a mean of 3.8.

The mean score for the group who exercised but did not meditate was lower than the mean score for the group who meditated but did not exercise. The mean score for the group that neither meditated nor exercised was the lowest, while the group that meditated and exercised had the highest mean score.

To know more about meditation visit:

https://brainly.com/question/32220003

#SPJ11

Answer:

-2

Step-by-step explanation:

f(x)=-3x+3

substitute value of f(x) with 9.

9=-3x+3

9-3=-3x

6/-3=x

-2=x

Given:

f(x)=-3x+3

When,

★Substituting the values in the above equation

f ( 9 ) = - 3 × 9 + 3

= -18 + 3

= -15

Step-by-step explanation:

3y-13>-9

3y-13<-1

3y>4

3y<12

12>3y>4

y=2,3,4

Answer:

\(\left[ \dfrac{4}{3},4 \right]\)

Step-by-step explanation:

Inequality 1

\(3y-13\geq -9\)

Add 13 to both sides:

\(\implies 3y-13+13\geq -9+13\)

\(\implies 3y\geq 4\)

Divide both sides by 3:

\(\implies \dfrac{3y}{3}\geq \dfrac{4}{3}\)

\(\implies y \geq \dfrac{4}{3}\)

Therefore, y is equal to or bigger than 4/3.

Inequality 2

\(3y-13\leq -1\)

Add 13 to both sides:

\(\implies 3y-13+13\leq -1+13\)

\(\implies 3y\leq 12\)

Divide both sides by 3:

\(\implies \dfrac{3y}{3}\leq \dfrac{12}{3}\)

\(\implies y\leq 4\)

Therefore, y is equal to or smaller than 4.

Therefore, the solution to the inequalities in interval notation is:

\(\left[ \dfrac{4}{3},4 \right]\)

$1.09 x 2 = $2.18. $2.18 + $3.99 = $6.17. $6.17 + $5.25 = $11.42. So, the best estimate of total cost (excluding tax) equals $11.42.

Answer:

Notebook: 3.99

Pencils: 1.09 x 2 = 2.18

Markers: 5.25

$11.42 = not estimated/exact

Estimated: $11.50

B) y = 53.8x + 1149.8

C) Total Sales increase from one week to the next by $53.8.

Therefore, it is true to say that the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.

D) The restaurant's sales for the Monday of the 15th week is expected to be $1956.8

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.

B) As by scatter plot,

The total sales for week 4 is given as 1,365 while that of week 9 is 1,634.

Therefore, we shall determine the equation for the line of best fit using the points;

( 4, 1365) and ( 9, 1634)

The first step would be to determine the slope of this line;

slope = (1634 - 1365)/ (9 - 4)

       = 53.8

The equation of the line in slope-intercept form is thus;

Sales = 53.8(Week) + c

We need to determine c, the y-intercept. We can use the point ( 4, 1365);

1365= 53.8(4) + c

c = 1365-215.2

c = 1149.8

The equation of the line of best fit is thus;

y = 53.8x + 1149.8

C) The slope of the equation for the lines of best fit was found to be 53.8.  

    This value is positive which implies

    Total Sales increase from one week to the next by $53.8.

    The slope in regression is defined as the change in y for every unit change in x.

Therefore, it is true to say that the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.

D) The equation  for the line of best fit was found to be;

  y = 53.8x+ 1149.8

where y denotes the total sales and x the corresponding week. We are required to determine y when x is 15;

y = 53.8(15) + 1149.8

y = 1956.8

Therefore, the restaurant's sales for the Monday of the 15th week is expected to be $1956.8.

Learn more about equation of line here:

https://brainly.com/question/21511618

#SPJ1

Answer:

$391.2 per owner

Step-by-step explanation:

find the total price of the items and divide it by five

Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.

To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.

First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:

6x + 4(0) + 0 = 24

6x = 24

x = 4

So, the plane intersects the x-axis at (4, 0, 0).

Similarly, to find the y-intercept, we set x = 0 and z = 0:

6(0) + 4y + 0 = 24

4y = 24

y = 6

So, the plane intersects the y-axis at (0, 6, 0).

To find the z-intercept, we set x = 0 and y = 0:

6(0) + 4(0) + z = 24

z = 24

So, the plane intersects the z-axis at (0, 0, 24).

We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).

To find the volume of this tetrahedron, we can use the formula:

Volume = (1/3) * base area * height

The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.

The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.

Plugging these values into the volume formula:

Volume = (1/3) * 12 * 24

= 96 cubic units

To know more about volume of the solid,

https://brainly.com/question/30079268

#SPJ11

let's firstly convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{12\frac{1}{2}}\implies \cfrac{12\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{25}{2}} ~\hfill \stackrel{mixed}{7\frac{1}{4}} \implies \cfrac{7\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{29}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{25}{2}-\cfrac{29}{4}\implies \cfrac{(2)25~~ - ~~(1)29}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{50-29}{4}\implies \cfrac{21}{4}\implies 5\frac{1}{4}\)

Answer:

Here is the graph for it.

Step-by-step explanation:

hope this helped.

The probability of choosing a heart for the second card drawn, if the first card was a heart, is 12/51, or 0.2353 rounded to four decimal places.

When two cards are drawn without replacement from a standard deck of 52 playing cards, the probability of choosing a heart for the second card drawn is determined by the number of hearts remaining after the first card is drawn. Since there are 4 suits in a standard deck of cards, each with 13 cards, there are 13 hearts in a deck. If the first card drawn is a heart, then there are 12 hearts remaining in the deck. Therefore, the probability of choosing a heart for the second card drawn is 12/51, or 0.2353 rounded to four decimal places. This probability is calculated by taking the number of hearts remaining (12) and dividing it by the total number of cards remaining in the deck (51).

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer:

Let first angle be x

x+x+6+x-12=180°

3x-6=180°

3x=186

x=63°

First angle=63°

Second Angle=69°

Third angle=51°

Hope it helps you

A single payment of approximately $289.16 is required today to settle the two scheduled debt payments of $600 each, due three months and six months from now.

The future value (FV) of the first payment of $600 due in three months can be calculated as FV = PV(1 + rt), where PV is the present value (single payment today), r is the interest rate, and t is the time period. In this case, the time period is three months, which is equivalent to 0.25 years, and the interest rate is 10% or 0.10.
Similarly, the future value of the second payment of $600 due in six months can also be calculated using the same formula, but with a time period of six months or 0.5 years.
To find the single payment required today to settle both payments, we add the future values of the two payments:
FV = PV(1 + rt) + PV(1 + rt)
Substituting the values into the equation, we get:
$600 = PV(1 + 0.10 * 0.25) + PV(1 + 0.10 * 0.5)
Simplifying further, we have:
$600 = PV(1 + 0.025) + PV(1 + 0.05)
$600 = 1.025PV + 1.05PV
$600 = 2.075PV
Dividing both sides of the equation by 2.075, we find:
PV = $600 / 2.075
PV ≈ $289.16
Therefore, a single payment of approximately $289.16 is required today to settle the two scheduled debt payments of $600 each, due three months and six months from now.

Learn more about interest rate here:

https://brainly.com/question/28354256

#SPJ11

Answer:

Step-by-step explanation:

200 because 4 dived by 2=2. kay?

The value of the variable x in the given figure is given by 19.1 ft.

Here in the given picture the given two triangles are similar triangles.

For the similar triangles, the ratios of the similar sides are equal.

So here the side with 9.3 ft of first triangle is similar with the side with x ft and the side of 1.7 ft of first triangle is similar with the side with 3.5 ft.

By the condition then,

x/9.3 = 3.5/1.7

x = 9.3 * (3.5 / 1.7) = 19.1 [rounding off to the nearest first decimal place]

Hence the value of x in the given figure is 19.1 ft.

To know more about similar figure here

https://brainly.com/question/16034307

#SPJ4

The question is incomplete. The complete question will be -

10 and 15

add 2 and 3 together then divide 25 by that and then multiply that number by 2 and 3 to find both of the answers

Answer:

11

.......................................

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). We can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

The UC Berkeley Institute of Governmental Studies conducted a poll in 2019 with 4,527 respondents in California, where 51.7% of them reported considering moving out of the state. The objective is to calculate a 95% confidence interval for the proportion of all Californians who considered moving out of state, given the sample size and proportion.

B. The formula to calculate the confidence interval for a proportion is:

CI = p^ ± z* √[(p^(1-p^))/n]

Where p^ is the sample proportion, n is the sample size, and z* is the critical value of the standard normal distribution for the desired confidence level. For a 95% confidence level, z* = 1.96.

Substituting the given values into the formula, we get:

CI = 0.517 ± 1.96 * √[(0.517*(1-0.517))/4527]

CI = 0.517 ± 0.013

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). Therefore, we can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

For more questions like Sample click the link below:

https://brainly.com/question/31101410

#SPJ11

Answer:

4th option, x = -1 and x = 9

Step-by-step explanation:

3(x-4)²=75

or, (x-4)²=25

or, x²-8x+16-25=0

or, x²-8x-9=0

or, x²-9x+x-9=0

or, x(x-9)+1(x-9)=0

or, (x-9)(x+1)=0

so, x-9=0 or, x=9

and x+1=0 or, x=-1

The two solutions of the quadratic equation are:

x = -1 and x = 9

The quadratic equation is:

3*(x - 4)^2 = 75

We can expand it as:

3*x^2 - 3*2*4*x + 3*16 = 75

3x^2 - 24x  -27 = 0

Now, using Bhaskara's formula we get:

\(x = \frac{-(-24) \pm \sqrt{(-24)^2 - 4*3*(-27)} }{2*3} \\\\x = \frac{24 \pm 30 }{6}\)

So the two solutions are:

x = (24 + 30)/6 = 9

x = (24 - 30)/6 = -1

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ5

Answer:

n/a

Step-by-step explanation:

how does it feel

The general solution of the given homogeneous differential equation is:y = ±x√(Cx² + 2)

The given differential equation is: 2xyy' + (x² - y²) = 0

We have to find the general solution of the given homogeneous differential equation. To solve the above differential equation, we will use the substitution method.

Put y = vx and y' = v + xv'

Differentiating both sides w.r.t x: y' = v + xv' ⇒ v' = (y' - v)/x

Differentiating again w.r.t x: y'' = v' + xv'' + v' ⇒ y'' = (y'' - 2y'v + v² + xv')/x

Substituting these values in the given differential equation:

2x(v)(v + xv') + (x² - v²x²) = 0

2v + 2x²v' + x - v² = 0

2x²v' + 2v/x - v³/x = -1/x

We can write the above differential equation as:

2x²dv/dx + 2v/x = v³/x - 1/x

Separating the variables and integrating both sides:

∫dx/x = ∫[v/(v² - 2)]dv/x

⇒ ln |x| + ln |v² - 2| + C

⇒ ln |x(v² - 2)| = ln |Cx|

⇒ v² - 2 = Cx² (where C is a constant)

⇒ v = ±√(Cx² + 2)

Putting the value of v in y = vx, we get:

y = x√(Cx² + 2) and y = -x√(Cx² + 2)

To know more about differential equation visit:

https://brainly.com/question/25731911

#SPJ11

Answer:

y = 22 - x2  or x = 12 - x2

Step-by-step explanation:

The length of bc is 8. The result is obtained by using the concept of conditions for similar triangles.

For two or more similar triangles, it has two conditions.

A right triangle abc with altitude bd drawn to hypotenuse ac has the length of sides as follow

Find the length of bc!

Observe the picture of triangles in the attachment! If we drawn a perpendicular line to the hypotenuse, we'll have three similar triangles.

The corresponding sides of the two triangles are

\(\frac{\overline{ac}}{\overline{bc}} = \frac{\overline{bc}}{\overline{dc}} = \frac{\overline{ab}}{\overline{bd}}\)

The length of bc is

\(({\overline{bc})^{2} = \overline{ac} \times {\overline{dc}\)

\(({\overline{bc})^{2} = 16 \times 4\)

\(({\overline{bc})^{2} = 64\)

\({\overline{bc} = \sqrt{64}\)

\({\overline{bc} = 8\)

Hence, the length side of bc on the right triangle is 8.

Learn more about length side of similar triangles here:

brainly.com/question/24273594

#SPJ4

The formula for the volume of a cylinder is \(r^{2}\)h, where r is the radius and h is the height. To solve for h, h = r + 3, and to find the total surface area, lateral surface area = 2rh, top and bottom areas = 2\(r^{2}\), and total surface area = 826.59 \(cm^{2}\).

Let's calculate for the radius and height using the cylinder's volume formula:

Volume = π\(r^2h\), where r is the radius and h is the height.

We have Volume = 1540 \(cm^3\), so we can write:

1540 = π\(r^2h\)

Also, we know that the difference between the height and radius is 3 cm:

h - r = 3

We can solve for h in terms of r by rearranging the above equation:

h = r + 3

Now we can substitute this into the formula for volume:

1540 = π\(r^2(r + 3)\)

Simplifying and solving for r:

1540 = π\(r^3\) + 3π\(r^2\)

π\(r^3\) + 3π\(r^2\) - 1540 = 0

r ≈ 7.38 cm

Using the equation h = r + 3, we can find the height:

h = 7.38 + 3 = 10.38 cm

Now we can use the formulas for the lateral surface area and the top and bottom areas to find the total surface area of the cylinder:

Lateral surface area = 2πrh

Top and bottom areas = 2π\(r^2\)

Substituting in the values we found, we get:

Lateral surface area = 2π(7.38)(10.38) ≈ 483.87 \(cm^2\)

Top and bottom areas = 2π\((7.38)^2\) ≈ 342.72 \(cm^2\)

Total surface area = Lateral surface area + Top and bottom areas

Total surface area ≈ 826.59 \(cm^2\)

Therefore, the total surface area of the cylinder is approximately 826.59 \(cm^2\).

To know more about volume of the cylinder, visit

brainly.com/question/16788902

#SPJ1

The prices where the quantity demanded is greater than quantity supplied are :

Quantity demanded refers to the amount of goods and services that people and businesses in an economy demand.

This amount of goods and services demanded will be more than the quantity supplied when the price of the good or service is less than the equilibrium price.

The equilibrium price here is $ 3 and so the prices less than $ 3 are $2, $1, and $ 0.

Find out more on quantity demanded at https://brainly.com/question/1692392

#SPJ1

Answer:

Area rhombus = 110

Step-by-step explanation:

The diagonals of a rhombus intersect at right angles.

They bisect each other.

So the diagonals form 4 right angle triangles whose legs are 1/2 of each of them.

Leg of 1 triangle = 1/2 * 10 = 5

Other leg of 1 triangle = 1/2 * 22 = 11

Area of 1 triangle = (1/2 ) * 5 * 11 = 1/2 * 55 = 27.5

Area of all 4 triangles = 4 * 27.5

Area of all 4 triangles = 110

Area of rhombus = 110

Answer:

18.83% (nearest hundredth)

Step-by-step explanation:

Continuous Compounding Formula

\(\sf A=P(e)^{rt}\)

where:

Given:

Substituting given values into the formula:

\(\sf \implies 1300=420(e)^{6r}\)

\(\sf \implies \dfrac{1300}{420}=e^{6r}\)

\(\sf \implies e^{6r}=\dfrac{65}{21}\)

Taking natural logs of both sides:

\(\sf \implies \ln e^{6r}=\ln \dfrac{65}{21}\)

\(\sf \implies 6r\ln e=\ln \dfrac{65}{21}\)

\(\sf \implies 6r(1)=\ln \dfrac{65}{21}\)

\(\sf \implies 6r=\ln \dfrac{65}{21}\)

\(\sf \implies r=\dfrac16 \ln \dfrac{65}{21}\)

\(\sf \implies r=0.1883108054...\)

Therefore, the interest rate is 18.83% (nearest hundredth)

Answer:

it is the NOL and KLJ i didnt know how you were ordering the A B C or D

Step-by-step explanation: