Write in point slope form and slope intercept form.

Write In Point Slope Form And Slope Intercept Form.

Answers

Answer 1

When given the point-slope form of a line, we first must identify the point and the slope in order to create a graph of the line.

How do you write point-slope form with a point slope?

The general form of a linear equation is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept). In order to emphasise the slope and y-intercept of the same line, we can rewrite an equation in point-slope form to be in slope-intercept form, y=mx+b.

Plug the slope and the (x, y) point values into y = mx + b, then solve for b using the substitution method.Point-slope form is represented as y y 1 = m (x x 1), where (x 1, y 1) is the supplied point and m is the given slope.

Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). A graph is usually simple to make.

To learn more about point-slope refer to  :

https://brainly.com/question/6497976

#SPJ1

Answer 2

The given points can be written in point-slope form as y - 6 = -6(x - 4) and slope intercept form as y  = -6x + 30.

How do you write point-slope form with a point slope?

The general form of a linear equation is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept). In order to emphasise the slope and y-intercept of the same line, we can rewrite an equation in point-slope form to be in slope-intercept form, y=mx+b.

Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). A graph is usually simple to make.

Given, x intercept = 5

which means when y = 0, x = 5 i.e. (5, 0)

And given a point (4, 6)

using the two points in slope formula

[tex]$\mathrm{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

[tex]$\mathrm{m = \frac{6- 0}{4 - 5}}[/tex]

m = 6/-1

m = -6

Now, as we have slope, put the data in point-slope form

y-y₁ = m(x -x₁)

y - 6 = -6(x - 4)   ⇒  point-slope form

y - 6 = -6x + 24

y  = -6x + 24 + 6

y  = -6x + 30    ⇒ slope intercept form

Thus, the given points can be written in point-slope form as y - 6 = -6(x - 4) and slope intercept form as y  = -6x + 30.

To learn more about point-slope refer to  :

brainly.com/question/6497976

#SPJ1


Related Questions

Find an equation of the form y=f(x) for a curve with x-intercept 1 whose tangent line at any point (x, y) has slope xe^-y.
y=___

Answers

y = ln( [tex]\frac{x^2+1}{2}[/tex])  is the required equation.

What is x-intercept?

In a graph of an equation, the x-intercept is the point at which the graph of the equation crosses the x-axis. It is the point where the y-coordinate is equal to 0. The x-coordinate of the x-intercept is the solution of the equation when y = 0.

Given that the slope at point (x,y)

and we know that slope at any find is dy/dx

so dy/dx = [tex]xe^-^y[/tex]

=> dy/[tex]e^-^y[/tex] = xdx

=> [tex]e^y[/tex] dy = x dx

intergrating both side we get:

[tex]e^y[/tex] = x²/2 + c

where c is a constant

given x intercept is 1

[tex]e^0[/tex] = 1²/2 + c

=> 1 = 1/2+c

=>  c= 1/2

so [tex]e^y[/tex] = x²/2 + 1/2

taking ln on both side we get:

y = ln( [tex]\frac{x^2+1}{2}[/tex])  is the required equation.

To know more about x-intercept click on below link:

https://brainly.com/question/14180189#

#SPJ4

On a line segment, U is between T and V. If TU = 11x − 15, UV = 10x, and TV = 20x − 3, what is TU?

Answers

The value of TU is 117.

What is a line segment?

A line segment in geometry is a section of a straight line that is enclosed by two clearly defined endpoints and contains all of the points on the line that lies inside those endpoints. The Euclidean distance between two ends of a line segment determines its length.

Here, we have

Given: U is between T and V. If TU = 11x − 15, UV = 10x, and TV = 20x − 3.

We have to find the value of TU.

TV = TU + UV

20x − 3 = 11x − 15 + 10x

20x − 3 = 21x - 15

-3 + 15 = 21x - 20x

12 = x

Now, we have TU = 11x − 15.

We put the value of x on TU and we get

TU = 11x − 15

TU = 11(12) - 15

TU = 132 - 15

TU = 117

Hence, the value of TU is 117.

To learn more about the line segment from the given link

https://brainly.com/question/2437195

#SPJ1

Check image for questions

Answers

Two lines are parallel when their slopes are the same

Two lines are perpendicular when the product of their slopes is -1

Two lines are intersect when their slopes are different

Let's define our slopes as m1 and m2, != means not equal

Solution:

1) m1 = m2        Parallel

2) m1*m2=-1     Perpendicular

3) m1*m2=-1     Perpendicular

4) m1=m2         Parallel

5) m1=m2   (-4 = -4)  Parallel

6) m1 != m2     Neither

7) m1 != m2     Neither

8) m1*m2=-1    Perpendicular

The dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption. If P(terriers) = 85%, interpret the likelihood of randomly selecting a terrier from the shelter.

A. Likely
B. Unlikely
C. Equally likely and unlikely
D. This value is not possible to represent probability of a chance event

Answers

The dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption.  P(terriers) = 85% is likely Option B

What is probability?

Generally, Probability is the area of mathematics that deals with providing numerical descriptions of the likelihood that an event will take place or the likelihood that a statement will be correct.

A number between 0 and 1 may be thought of as representing the chance of an event happening, with 0 indicating that the occurrence is impossible and 1 indicating that it will definitely happen.

Read more about probability

https://brainly.com/question/30034780

#SPJ1

A circular dartboard is divided into regions with various central angles. The probability of a dart randomly landing in a particular region is 1/6. What is the corresponding measure, in degrees, of the central angle of this section of the dartboard?

Answers

The corresponding measure of the central angle of the section of the dartboard is 60 degrees.The probability of randomly landing in a particular region of a circular dartboard is 1/6.

The probability of randomly landing in a particular region of a circular dartboard is 1/6. This means that each region of the dartboard is equivalent in size, and thus has the same central angle. Since the dartboard is circular, the total measure of the central angles must add up to 360 degrees. Therefore, the measure of the central angle of each section of the dartboard is 360 divided by 6, which is equal to 60 degrees.

The corresponding measure of the central angle of the section of the dartboard is 60 degrees.The The corresponding measure of the central angle of the section of the dartboard is 60 degrees.The probability of randomly landing in a particular region of a circular dartboard is 1/6.  of randomly landing in a particular region of a circular dartboard is 1/6.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

she created ordered pairs, (height , weight), from the data and found they defined a function. which of the following actions would cause alex's set of ordered pairs to no longer define a function?

Answers

Option(B) is the correct answer. The answer is - Adding data from a student who is 154 cm tall and weighs 69kg.

A function is a set of ordered pairs in which no two different ordered pairs have an identical x -coordinate. An equation that makes such a set of ordered pairs defines a function.The domain of the function is the set of all inputs and the range of the function is the set of all outputs. To check to see if a set of ordered pairs or a list presented by a table is a function or not, check to make sure that each input value is paired with only one output value.

Read more about function:

https://brainly.com/question/25638609

#SPJ4

A survey asked 1,150 people to choose their favorite laundry detergent from brands A, B, and C. Of the people surveyed, x percent chose A as their favorite brand. If x is rounded to the nearest integer, the result is 3. Which of the following could be the number of people who chose A as their favorite brand?
I. 30
II. 35
III. 45
A. I only
B. II only
C. III only
D. I and II only
E. I, II and III

Answers

The answer is D. I and II only. The number of people who chose A as their favorite brand could be 30 or 35 since x is rounded to the nearest integer, which is 3. However, it cannot be 45 since 3 is the nearest integer.

1. x is rounded to the nearest integer, which is 3

2. If x is equal to 30, then the number of people who chose A as their favorite brand would be 30

3. If x is equal to 35, then the number of people who chose A as their favorite brand would be 35

4. If x is equal to 45, then the number of people who chose A as their favorite brand would be 45

5. Since 3 is the nearest integer, the number of people who chose A as their favorite brand cannot be 45

6. Therefore, the answer is D. I and II only.

1,150 respondents were asked to select their preferred brand among brands A, B, and C of laundry detergent. x% of those polled indicated that A was their preferred brand. The outcome is 3 if x is rounded to the nearest integer. This means that x could be 30, 35, or 45. However, since 3 is the nearest integer, the number of people who chose A as their favorite brand cannot be 45. Therefore, the answer is D. I and II only, meaning that the number of people who chose A as their favorite brand could be 30 or 35. This is because if x is equal to 30, then the number of people who chose A as their favorite brand would be 30 and if x is equal to 35, then the number of people who chose A as their favorite brand would be 35.

Learn more about integer here

https://brainly.com/question/15276410

#SPJ4

Savod Seiko wants to broaden her functional business knowledge. Which of the following activities should she engage in? Multiple Choice Wearing o blue hat attending a business conference reading a magazine article writing a reflection journal

Answers

Attending a business conference is the activity she should engage in.

Why conferences are important for businesses?A business conference is held for those employed by the same organisation or sector. They meet together to talk about potential business prospects and emerging trends. On a broader scale, a trade conference is held.Industry experts and solution providers can network, exchange contacts, and potentially start working together during conferences. With their technology, advice, or product, the event's exhibitors can assist you in solving your problems.For the networking possibilities, yes. One of the few opportunities you may have to network with trailblazing members of your field is at a conference. Even though some conferences are expensive and may seem like a waste of time, going can be a wise business decision.

Learn more about Business conference refer to :

https://brainly.com/question/27206976

#SPJ4

Sove the inequality, I need the step by step for this please
|x +1|>-3

Answers

The solution for the inequality |x +1|>-3 is x > -4 or x < -4.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

To solve the inequality |x + 1| > -3, we need to consider two cases:

x + 1 > -3: In this case, we can subtract 1 from both sides to get x > -4.

x + 1 < -3: In this case, we can subtract 1 from both sides to get x < -4. However, we also need to reverse the inequality symbol because we are multiplying or dividing by a negative number.

So the solution for the inequality is x > -4 or x < -4.

To get the final solution, we need to consider the combined solution from both cases:

x < -4 or x > -4

This represents as follows:

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:\mathrm{True\:for\:all}\:x\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Learn more about the inequalities here:

brainly.com/question/20383699

#SPJ1

Luisa has four boxes of chocolate bars there are 10 chocolate bars in each pack in each chocolate bar has eight pieces find two equivalent expressions that could be used to find the total number of chocolate pieces Luisa has

Answers

The two equivalent expressions that could be used to find the total number of chocolate pieces that Luisa has are given as follows:

(4 x 10) x 8.4 x (10 x 8).

How to obtain the number of chocolate pieces that Luisa has?

To obtain the number of pieces that Luisa has, we must consider that:

She has four boxes.Each box is composed by 10 bars.Each bar is composed by 8 pieces.

Hence the multiplication operation giving the number of pieces is given as follows:

4 x 10 x 8.

The associative property of multiplication states that the order in which 3 or more terms are multiplied does not change the product, hence the equivalent expressions are given as follows:

(4 x 10) x 8.4 x (10 x 8).

More can be learned about the associative property of multiplication at https://brainly.com/question/17176614

#SPJ1

Karen divided 560.9 by 10³ and got
a quotient of 0.5609. Julio thinks the
quotient should be 5.609. Who is correct?
Explain your answer.

Answers

Karen divided 560.9 by 10³ and got a quotient of 0.5609 ,therefore he is right.

What do you mean by division?

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.

What do you mean by quotient ?

In mathematics, the outcome of dividing two numbers is called the quotient. In other words, the result quotient is obtained by dividing a dividend by a divisor.

How to Divide a Long Number by Decimals?

Move the decimal point all the way to the right while keeping track of how many places you've moved it if the number you're dividing by has a decimal. Then, move the decimal point the same number of places to the right in the number you are dividing.

Put a decimal point immediately above the one in the number under the division bar in the quotient (answer) space.

Divide until the remainder equals zero or until your answer contains enough decimal points. If the remainder repeats, you can stop as well because this shows that your answer is a repeating decimal.

Hence, Karen divided 560.9 by 10³ and got a quotient of 0.5609.

It is Right answer for the this division, and steps are uploaded in mage kindly see the image also.

Learn more about Division click here:
https://brainly.com/question/25289437

#SPJ1

Joanie is organizing her closet. She has 3 times as many black shirts as gray shirts, plus 3 new black shirts she just bought. She has 5 times as many white shirts as gray shirts, minus the one white shirt she donated. Joanie has 2 times more gray short than brown shirts. If she has the same number of black and white shirts, how many gray shorts does Joanie have?

Answers

If Joanie is organizing her closet. She has 3 times as many black shirts as gray shirts, plus 3 new black shirts she just bought. The number of gray shirts that Joanie have is: 2.

How to find the number of shirts?

Let x represent the number of gray shirts

Let Joanie black shirts = 3x + 3

Let Joanie white shirts =  5x - 1

Let Joanie brown shirts =   2x

So,

3x + 3 = 5x - 1

Substract 3 from both side

3x + 3-3 = 5x - 1 -3

3x = 5x -4

Substract 5x from both side

3x-5x = 5x -4 -5x

-2x =  -4

Divide both side by

x = -4/-2

x =2

Therefore, Joanie has 2 gray shirts.

Learn more about number of shirts here:https://brainly.com/question/12365809

#SPJ1

Which coordinates are solutions to the equation? Select ALL that apply.

2x−y=20

(10, 0)

(15, 10)

(5, 7)

(-4, -28)

Answers

except point (5, 7) all given coordinates are on the line.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

given, an equation 2x−y=20

to check what are the coordinate of the equation:

The easiest way to find out if a point falls on a specific line is to plug the first value of the point in for x and the second value for y.

Thus, For Coordinates(10, 0)

2x−y=20

=> 2 * 10 - 0 = 20

=> 20 = 20

Thus Coordinates are on the line.

Thus, For Coordinates(15, 10)

2x−y=20

=> 2 * 15 - 10 = 20

=> 30 -10 = 20

=> 20 = 20

Thus Coordinates are on the line.

Thus, For Coordinates(5, 7)

2x−y=20

=> 2 * 5 - 7 = 20

=> 3 = 20

Thus Coordinates are not on the line.

Thus, For Coordinates(-4, -28)

2x−y=20

=> 2 * -4 - (-28) = 20

=> -8 + 28 = 20

=> 20 = 20

Thus Coordinates are on the line.

Therefore, except point (5, 7) all given coordinates are on the line.

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ1

Jacob received a deck of cards for his birthday. The length, width, and height of the card box are shown below.

A measurement of a cards box bottom as 2 and half in, side as 3 and half in, and width as 2 by 3 in.

What is the volume of the card box?

Answers

The deck of cards Jacob got has a volume of 6.833 cubic inches.

What is volume?

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given, Jacob received a deck of cards for his birthday. The length, width, and height of the card box are shown below.

Length = 3 1/2 = 7/2

Width = 2 1/2 = 5/2

Height = 2/3

From the general formula of volume:

volume = Length * width *Height

volume = 7/2 * 5/2 * 2/3

The volume of a pack of cards = 35/6 = 6.833

Therefore, the volume of the Deck of cards Jacob received is 6.833 cubic inches.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ1

The 3-4-5 right triangle is a commonly used right triangle. Use the inverse sine function to determine the measure of the angle opposite the side of length 3.

Answers

The measure of the angle opposite the side of length 3 is approximately 53.13 degrees.

To find the measure of the angle opposite the side of length 3, we need to use the inverse sine function. The inverse sine function can be written as sin^−1(x). We can use the Pythagorean Theorem to calculate the side length of the triangle, which is 3^2 + 4^2 = 5^2. Therefore, we can use the inverse sine function to calculate the measure of the angle opposite the side of length 3. To do this, we will take the ratio of the side of length 3 to the hypotenuse, which is 3/5. We can then plug this value into the inverse sine function, which gives us sin^−1(3/5). Calculating this value gives us approximately 53.13 degrees, which is the measure of the angle opposite the side of length 3.

Learn more about angle here

https://brainly.com/question/28451077

#SPJ4

Given: E is the midpoint of overline BD and overline AC perp overline BD .Prove : triangle BAE cong triangle DAE . Statement reason eis the midpoint of bd ac bd type of statement kote:- gd and ur cogmnents step given'

Answers

The ΔBAE is congruent to ΔDAE. ΔBAE and ΔDAE have three corresponding angles that are congruent, so they are congruent.

The Triangle Congruence Theorem states that if two triangles have three corresponding angles that are congruent, then the triangles are congruent.

This can be seen by looking at the angles BAE, BAE, and DAE. All three of these angles are equal, so they are congruent. Additionally, the side lengths of the triangles are the same, so the triangles are also congruent. The Triangle Congruence Theorem is an important tool for determining the congruence of two triangles.

It is used to compare the angles and side lengths of two triangles, and if the angles and side lengths are the same, then the triangles are congruent. When ΔBAE and ΔDAE have the same angles and side lengths, then it is clear that they are congruent.

According to question,

E is the midpoint of,

AC⊥ BD,

As given E is the midpoint of the line ,

So, BE = ED,

further, line AE = AE, because this is the common line between the two triangles.

Also, ∠BED =∠DEA =90°, as AC⊥ BD.

Therefore, the ΔBAE is congruent to ΔDAE.

To know more about Congruent Triangle:

brainly.com/question/2938476

#SPJ4

A mother is 66 inches tall, and her daughter is 33 inches tall. Which of the following equations describes the relationship between m, the height of the mother, and g, the height of the daughter?
A. g=2/m
B. g = 2m
C. g=m/2
D. g=m-2

Answers

Answer: your answer is c

Step-by-step explanation:

It’s Election Day for a club. If a president and vice president are elected, how many combinations can be made among eight people

Answers

The number of combinations that can be made among eight people is given as follows:

56 combinations.

How to obtain the number of combinations?

As there are different roles, the order is important, hence the permutation formula is used to solve this question.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

For this problem, two people are selected from a set of 8, hence the number of combinations is given as follows:

P(8,2) = 8!/6! = 8 x 7 = 56 combinations.

More can be learned about the permutation formula at https://brainly.com/question/12468032

#SPJ1

the questions for quiz 2 will include all 6 trig functions with angles on the unit circle in the interval [0, 2pi], given in radians or degrees.

Answers

Trigonometry is the study of relationships between angles and sides of a triangle.

The six trigonometric functions—sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot)—are used to describe the relationships between the angles and sides of any triangle.

The unit circle is a circle of radius one centered at the origin of a Cartesian coordinate system. When we determine the coordinates of points on the unit circle, we are using the six trigonometric functions. The unit circle is used to find the values of the trigonometric functions for angles of measures 0°, 30°, 45°, 60°, and 90°.

In the interval [0, 2π], we can use the unit circle to calculate the trigonometric functions of the angles in both degrees and radians. For example, sin 0° = 0, cos 0° = 1, tan 0° = 0, csc 0° = undefined, sec 0° = 1, cot 0° = undefined. The corresponding values in radians are sin 0 = 0, cos 0 = 1, tan 0 = 0, csc 0 = undefined, sec 0 = 1, cot 0 = undefined.

By using the unit circle, we can find the value of all six trigonometric functions for any angle in the interval [0, 2π], given in degrees or radians. We can also use the unit circle to find the trigonometric functions for any angle in any interval.

Learn more about trigonometric functions here:

https://brainly.com/question/6904750

#SPJ4

On 21/04 the service fee for depositing the amount of R2239.10 was 31.74. Determine the service fee as a percentage of the deposited amount​

Answers

To determine the service fee as a percentage of the deposited amount, we can use the following formula:

What does math's % mean?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Service fee percentage = (Service fee / Deposited amount) x 100

In this case:

Service fee percentage = (31.74 / 2239.10) x 100 = 1.41%

So, the service fee for depositing the amount of R2239.10 was 1.41% of the deposited amount.

Learn more about percentage

https://brainly.com/question/24877689

#SPJ1

The Summerfield Opera House sold 22,200 tickets this year, but it has been experiencing a 6% drop in sales from one year to the next. If this trend continues, then how many tickets will the opera house sell 2 years from now?

Answers

Answer: 20,009

Step-by-step explanation:

pk you you have to divide it by 100 sk its 1% then multiply it by 12 sibce its two years

19,616 Answer:

Step-by-step explanation: you divide

use method of reduction of order to find a second solution of the given equation; t^(2)y''+2ty'-2y=0, t>0
if y_1(t)=t , (given hint): set y_2= v(t)t

Answers

The second solution of the given differential equation t^2y''+2ty'-2y=0, t>0 is y_2(t) = c/t where c is an arbitrary constant.

The second solution of the given differential equation t^2y''+2ty'-2y=0, t>0 is y_2(t) = c/t where c is an arbitrary constant.

y_2(t) = t^2v'(t) + 2t v(t) - y_1(t)

Substituting y_1(t) and y_2(t) in the given equation, we get

t^2v''(t) + 2tv'(t) - 2v(t) = 0

This is a first order linear differential equation and can be solved as

v'(t) = -2v(t)/t

Integrating both sides, we get

v(t) = c/t^2

Therefore, the second solution of the given equation is

y_2(t) = c/t

The second solution of the given differential equation t^2y''+2ty'-2y=0, t>0 is y_2(t) = c/t where c is an arbitrary constant.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

A physician writes a prescription for Proair HFA (albuterol sulfate) for Chronic Obstructive Pulmonary Disease (COPD). The instructions state: Inhale 1 to 2 MDI puffs (90-180mcg) q 4-6 hours.

How many puffs will the patient take daily?

Answers

The puffs that the patient will take daily include:

1 puff every 4 hours for 24hrs = 6

1 puff every 6 hours for 24hrs =4

2 puffs every 4 hours for 24hrs =12

2 puffs every 6 hours for 24 hrs =8

How to calculate the number of puffs?

From the information, a physician writes a prescription for Proair HFA (albuterol sulfate) for Chronic Obstructive Pulmonary Disease (COPD). The instructions state: Inhale 1 to 2 MDI puffs (90-180mcg) q 4-6 hours.

In this case, it should be noted that puff every 4 hours for 24hrs will be 6 times. Also, 1 puff every 6 hours for 24hrs will be 4 times.

Learn more about word problem on:

https://brainly.com/question/21405634

#SPJ1

the sum of two consecutive integers is 65. find the two numbers

Answers

Answer:

x=32

x+1=33

Step-by-step explanation:

let the first consecutive integer be 'x'

let the second consecutive integer be 'x+1'

x+x+1=65

2x+1=65

2x=65-1

2x=64

x=64÷2

x=32

x+1=(32+1)

x+1=33

Kory pays 1/3 of his income in tax. He then spend 4/5 of what remains after tax, and places the rest into a savings account. What fraction of his income does he put into his saving account?

Answers

Answer:

2/5 of income put into savings

Step-by-step explanation:

Let Kory's income be X

1/3 of his income goes to taxes so taxes are X/3

Remaining is (1-  2/3) of income = (2/3 ) X

He spends 4/5 of this remaining amount

So balance after expenditure = (1- 4/5) = 1/5 of the remaining income and this amount is put into savings

Fraction of income in savings = 1/5 x 2/3 X = (2/15)X

So fraction put into savings account is 1/5 of total income

If you find it confusing to work with fractions such as these, I suggest an alternate approach which may make it easier to understand

Pick an amount for total income. Since the denominators are 3 and 5, choose an amount which is divisible by both 3 and 5 or in other words divisible by 15


Let's choose 300, a convenient number

Tax Paid = 1/3 x 300 = 100


Income after tax = 300 - 100 = 200
which is same as 2/3 x 300

Spending = 4/5 x 200 = 160

Balance in savings = 200 - 160 = 40 same as 1/5 x 200

So amount in savings as a fraction of income = 40/300 = 2/15


Which of the following are square properties? Choose ALL that apply.

Four right angles.

Exactly one pair of parallel sides.

Diagonals are perpendicular.

Diagonals are congruent.

Answers

All of the above is the answer

A text message plan costs ​$6 per month plus ​$0.43 per text. Find the monthly cost for x text messages The monthly cost of x messages is dollars.

Answers

The monthly cost of x messages is 0.43x + 6 dollars.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

Given

Cost of message plan for one month = $6

cost for each text = $0.43

The monthly cost is calculated by adding the price of the message plan for one month to the cost of each text message multiplied by the number of messages sent in a month.

Total number of messages sent in a month = x

monthly cost for x text messages = (0.43 * x) + 6

Monthly cost for x text messages = 0.43x + 6 dollars

Hence the cost is 0.43x + 6 dollars.

Learn more about expressions;

https://brainly.com/question/14083225

#SPJ1

Evaluate the expression 3s - 4q - m² where m= 4, q= -3, and s = -24.

Answers

We can substitute the given values into the expression to find the result:

3s - 4q - m² = 3(-24) - 4(-3) - 4² = 72 + 12 - 16 = 60.

So the expression equals 60 when m= 4, q= -3, and s = -24.

12*8=

13*90=

show your work

Answers

Answer:

96 and 270

Step-by-step explanation:

12×8=96

90

×13

180

+90

270

The mean for baking pie is 65 minutes with a standard deviation of 12 minutes. The mean for sautéing carrots is 13 minutes with a standard deviation of 2 minutes. What is the mean time required to bake a pie and then sauté carrots?

Answers

78 minutes

When two means are combined you just add them
Other Questions
In "Shooting an Elephant," what effect does the narrator's word choice in paragraph 12 have a tone on the passage? which of the following is most likely to be increased as a result of the curriculum tested in the passage? What is the main view of the author?. 1.State your own view on the message conveyed from the excerpt of Rizal's poem for the people and laborers of Lipa, Batangas.2. Do you think the Hacienda case which Rizal took stand with the people of Calamba is the same case, in principle with the current problems of agricultural land disputes in the country like in the case of the Sumilao farmers in Bukidnon?3. Give your own view of the Catholic Church, ownership of vast tracts of land (friar state) during the time while Rizal was in Calamba, Which of the following is a major driver of downward cost pressurei.e., purchasing professionals desire and ability to put pressure on suppliers to reduce costs?a. The availability of global suppliers that possess cost advantages.b. Supply Scarcityc. A lack of suppliersd. Excessive complexity in supply marketse. Rivals competing to buy the same inputs/products Siegell's Locksmith Shop is taking out a mortgage on a new building. It is going to be an interest-only, 12-year balloon mortgage for $350,000. The APR is 3.35%. The last payment will be the balloon payment of the full principal.a. Find the total number of monthly payments, not including the final balloon payment.b. Find the amount of each monthly payment if the payments are interest-only. Round to the nearest cent.c. Find the difference between the regular monthly payment and the balloon payment, to the nearest hundred dollars.d. If the mortgage was not a balloon mortgage, what would be the amount of the monthly payment, rounded to the nearest cent? Calculate the molar mass of each compound given below. Keep at least one decimal place in atomic masses from the periodic table. A chemist requires 0.448 mol Na2CO3 for a reaction. How many grams does this correspond to? A sample of C3H6 has 2.40 times 1074 H atoms. How many carbon atoms does the sample contain? What is the total mass of the sample? The 64.8-g sample of the compound X2Os contains 48.0 g of oxygen atoms. What is the molar mass of element X? please help me i need this soon please Which describes what an outside observer at rest would observe about a spaceship that speeds up and approaches the speed of light?. which of the following has the greatest electronegativity difference between the bonded atoms? which of the following has the greatest electronegativity difference between the bonded atoms? f2 hcl co kbr Would anyone be down to talk? A 7.0-kilogram cart, A, and a 3.0-kilogram cart, B, are initially held together at rest on a horizontal, frictionless surface. When a compressed spring attached to one of the carts is released, the carts are pushed apart. After the spring is released, the speed of cart B is 6.0 meters per second, as represented in the diagram below.What is the speed of cart A after the spring is released?(1) 14 m/s(2) 6.0 m/s(3) 3.0 m/s(4) 2.6 m/s Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x-3y=18 Write a reflection on how tolerance for different faiths and people from other lands was an important aspect of the development of civilization in India A student measures the length,width, and height of a fish tank. She finds that the fish tank is 105cm long, 75cm wide,and 80.5 cm high. What is the volume of the fish tank? Show your work. Use scientific notation and show the correct number of significant figures in your answer connective tissue that encloses a bundle of muscle fibers Who is one important person that influenced Darwin and what was their contribution to his overall theory of biological evolution?. How do you graph logarithms?. Banks were granted full authority to enter investment banking and insurance business with the passage of purchased funds Regional and superregional banks have access to financial markets for __________ to finance their lending and investment activities. B: What is the relative humidity if the dry-bulb temperature is 16C and the wet-bulb temperature is 12C?