What happens to the area of a figure when it is enlarged by a scale factor zoom factor of 3?

Answers

Answer 1

When the area of a figure is enlarged by a scale factor of 3, then the area of the figure will be three times of the original area of the figure.

Here, the area of the figure is enlarged by a scale factor of 3

The scale factor is defined as the ratio between the scales of the original object or measurement and the new measurement or object

When the scale factor is greater than 1 the size of the new figure will increase and if the scale factor is less than 1 size of the new figure decreases

Here scale factor is 3, so the area of the figure is increased by three times

Therefore, the the area of the new figure will enlarged by three time

Learn more about scale factor here

brainly.com/question/29464385

#SPJ4


Related Questions

Suppose the odds of rain today are 5:9 What would be the probability that it will rain today?

Answers

The probability is the odds thus the probability it will rain today will be 5/9.

What is probability?

Probability is the concept that describes the likelihood of an event occurring.

Probability is also known as chance because, if you flip a coin, the possibilities that it will land on its head or tail are just chances that either a head will show up or not.

The odds of rain today are 5:9

Odds will be the same as probability because the probability is the same as chance.

Probability = 5/9

Hence "Since probability equals odds, the likelihood that it will rain today is 5/9.".

For more information about the probability,

brainly.com/question/11234923

#SPJ1

Identifying Products Resulting in a Sum or Difference of
Cubes
Sum of cubes:
(a + b)(a²-ab + b²) = a³ + b³
Difference of cubes:
(a-b)(a² + ab + b²)=a³-b³
4) Intro
Which products result in a sum or difference of cubes?
Check all that apply.
(x-4)(x2+4x-16)
□ (x-1)(x²-x+1)
(x-1)(²+x+1)
(x+1)2+x-1)
(x+4)(x²-4x+16)
□ (x+4)(x2 + 4x + 16)

Answers

The products result in a sum or difference of cubes are

(x - 1)(x² + x + 1) and (x + 4)(x² - 4x + 16).

What is sum or difference of cubes?

The term "sum of cubes" refers to a polynomial with the formula a^3 + b^3. The term "difference of cubes" refers to a polynomial with the form

a^3 - b^3.

The formulas for sum of cubes and difference of cubes are given:

Sum of cubes: (a + b)(a²-ab + b²) = a³ + b³

Difference of cubes: (a-b)(a² + ab + b²)=a³-b³

We have to check which products result in a sum or difference of cubes.

Consider,

(1) (x - 4)(x^2 + 4x - 16)

(x - 4)(x^2 + 4x - 16) = x^3 - 8x^2 + 32x - 64

It is not a sum or difference of cubes.

(2) (x-1)(x²-x+1)

(x - 1)(x² - x + 1) = x^3 - 2x^2 + 2x - 1

It is not a sum or difference of cubes.

(3) (x - 1)(x² + x + 1)

(x - 1)(x² + x + 1) = x^3 - 1

This is the difference of cubes.

(4) (x + 1)(x^2 + x - 1)

(x + 1)(x^2 + x - 1) = x^3 + 2x^2 - 1

It is not a sum or difference of cubes.

(5) (x + 4)(x² - 4x + 16)

(x + 4)(x² - 4x + 16) = x^3 + 64

This is the sum of cubes.

(6) (x + 4)(x^2 + 4x + 16)

(x + 4)(x^2 + 4x + 16) = x^3 + 8x^2 + 32x + 64

It is not a sum or difference of cubes.

Hence, the products result in a sum or difference of cubes are

(x - 1)(x² + x + 1) and (x + 4)(x² - 4x + 16).

To know more about sum or difference of cubes, click on the link

https://brainly.com/question/26726803

#SPJ1

Which table represents a linear function?

Answers

the table:4 represents  a linear function.

What is system of linear equations?

The intersections or meetings of the lines or planes that represent the linear equations are known as the solutions of linear equations. The set of values for the variables in every feasible solution is a solution set for a system of linear equations.

Not a Solution

If there is no intersection of any lines, or if the graphs of the linear equations are parallel, then the system of linear equations cannot be solved.

An Endless Number of Options

A set of infinite points exists for which the L.H.S. and R.H.S. of an equation become equal, indicating that a system of linear equations has an infinite number of solutions.

Unique fixing a series of linear equations

For table 4: The slope will be (8-6)/(3-5) = 2/-2 = -1

and (10-8)/(1-3) = 2/-2 = -1

Hence, the table:4 represents a linear function.

For a function to be linear the slope of all the segments should be same.

Learn more about system of linear equations, by the following link.

https://brainly.com/question/25858757

#SPJ1

What is the range of a function in simple terms?

Answers

The group of all possible dependent values that a function can produce from its domain values is known as its range.

In the given question we have to explain what is range of a function.

The range refers to all the entities (output) that result from a relation or function. The Range set is made up of all used output values (dependent values).

The group of all possible dependent values that a function can produce from its domain values is known as its range. It consists of every potential output.

To learn more about range of a function link is here

brainly.com/question/20349151

#SPJ4

suppose the estimated regression equation is given by . what are the predicted value of y and the residual when x is 2 and y is observed to be 9?

Answers

The predicted value and residual for y is 9.4 and -0.4 respectively.

In statistics, a regression equation is used to determine whether or not there is a relationship between two sets of data. If you measure a child's height every year, you might discover that they grow about 3 inches per year. A regression equation can be used to model that trend (growing three inches per year). In fact, most things in the real world (from gas prices to hurricanes) can be modelled mathematically, allowing us to forecast future events.

Regression equations can assist you in determining whether your data can be fit to an equation. This is extremely useful if you want to make predictions based on your data, whether they are future predictions or indications of past behaviour.

Given,

Regression equation is y=11-038x

Observed value of y = 9

predicted value of y can be determined by substituting x=2 in the equation

y=11-0.8(2)=11-1.6=9.4

The residual can be calculated by formula,

residual = observed value - predicted value

residual = 9 - 9.4

residual = -0.4

Thus, the predicted value is 9.4 and residual is -0.4.

To learn more about residual refer here

https://brainly.com/question/17438811

#SPJ4

Your question is incomplete, here is the complete question.

suppose the estimated regression equation is given by y=11-0.8x . what are the predicted value of y and the residual when x is 2 and y is observed to be 9?

can someone pls help me with algebra on number 5

Answers

Answer:

first option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 8 ) and (x₂, y₂ ) = (6, 4 )

m = [tex]\frac{4-8}{6-0}[/tex] = [tex]\frac{-4}{6}[/tex] = - [tex]\frac{2}{3}[/tex]

the line crosses the y- axis at (0, 8 ) ⇒ c = 8 , then

y = - [tex]\frac{2}{3}[/tex] x + 8 ← option 1

What is an example of a function equation?

Answers

The example of the function equation is f(x+3) = x² + 8x + 16 .

In the question ,

we have been asked to give an example of the function equation .

The Function Equation is defined as equations where the unknowns are functions, rather than a traditional variable.

For Example :

If f(x+3) = x² + 8x + 16 , then what is f(x)?

the above question is an example of function equation .

to find the solution ,

we let ,y = x + 3; then x = y - 3 .

Substituting the value of x in f(x+3) we get ,

f(y) = 2y² + 2y + 1 .

hence f(x) = 2x² + 2x + 1  that is = (x + 1)²  .

Therefore , the example is  f(x+3) = x² + 8x + 16  .

Learn more about Function Equation here

https://brainly.com/question/28094445

#SPJ4

6.Which of these statements is correct? Select all that apply.
Responses

Answers

the built-in math function is square root or cube root.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

The correct options are:

A solution to the equation x2=81 is x=9.

A solution to the equation x3=125 is x=5.

A solution to the equation x3=216 is x=6.

Hence the built-in math function is square root or cube root.

Learn more about function, by the following link.

https://brainly.com/question/25638609

#SPJ1

Kaylee is going to a carnival that has games and rides. Each game costs
$1.25 and each ride costs $2.50. Kaylee spent $12.50 altogether at the
carnival and the number of rides she went on is twice the number of
games she played. Graphically solve a system of equations in order to
determine the number of games Kaylee played, x, and the number of
rides Kaylee went on, y.

Answers

Based on the graph, a solution for the system of equations is 2 and 4.

The number of games Kaylee played is equal to 2 games.The number of rides Kaylee went on is equal to 4 rides.

How to write and solve the system of equations graphically?

In order to write a system of linear equations to describe this situation, we would assign variables to the number of games Kaylee played and number of rides Kaylee went on, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the number of games Kaylee played.Let the variable y represent the number of rides Kaylee went on.

Since each game costs $1.25 and each ride costs $2.50, and Kaylee spent $12.50 altogether, we have;

1.25x + 2.50y = 12.50.      ..........equation 1.

Additionally, the number of rides she went on is twice the number of

games she played;

y = 2x                      ..........equation 2.

Next, we would use an online graphing calculator to graphically solve the system of linear equations. Therefore, the required solution for the given system of linear equations is the point of intersection of the two (2) lines on the graph, which is given by this coordinate (2, 4).

Read more on equation here: https://brainly.com/question/19855458

#SPJ1

Kaylon shaded the thermometer to represent a temperature of degrees below zero Celsius as shown in the diagram. Is she correct? Therm

Question 5 options:

A: She incorrect because she should have shaded in °


B: She is correct because she shaded a temperature of -°C.


C: She is incorrect because she shaded a temperature of −°

Answers

By ay applying logical reasoning, we can conclude that (C) Kaylon is incorrect because the provided image indicates that the shaded temperature is -°.

What is logical reasoning?

Induction and abduction are two additional categories of logical reasoning that are typically distinguished in addition to the formal deduction.

If one has a premise or precondition, a conclusion or logical consequence, and a rule or material conditional that signals the conclusion given the premise, one can explain the following.

Philosophical logic and mathematical logic are often used to support the assertion that "Objects outside get wet when it rains.

Since the grass is outside, it gets wet when it rains."

Inductive reasoning is used to support a finding of the rule.

Based on the information provided, it is clear that Kaylon is mistaken because the temperature in the shade is -°.

Therefore, by applying logical reasoning, we can conclude that (C) Kaylon is incorrect because the provided image indicates that the shaded temperature is -°.

Know more about logical reasoning here:

brainly.com/question/28418750

#SPJ1

Find the value of X
(Please help)

Answers

Answer: x = 19

Step-by-step explanation:

Let's start with what we know. The area of a trapezoid is:

(B1 + x) * H /2 = Area

So here we have:

(25 + x)* 7 /2 = 154.

We multiply by 2 on both sides:
(25 + x)*7 = 308

Divide by 7 on both sides:
25 + x = 44

Subtract 25 from both sides:
x = 19.

So x = 19.

Answer: 19 inches

Step-by-step explanation:

The shape is a trapezium. (You can tell as there is one pair of parallel sides.) Therefore, to find the area, the following formula is needed:

Area of a trapezium =  [tex]\frac{a + b}{2} * h[/tex]

a and b represent the parallel sides

Next, plug in the given values:

[tex]154 = \frac{x + 25}{2} * 7[/tex]

Rearrange the equation to get x on its own:

[tex]154 = \frac{x+25}{2} * 7\\\\\frac{154}{7} = \frac{x+25}{2} \\\\22 = \frac{x+25}{2} \\\\22*2 = x + 25\\\\44 = x + 25\\\\44-25 = x\\\\x = 19\\\\[/tex]

Therefore, the answer is 19 inches. Remember your units!

(7x³ + x² + x) ÷ (x² + 1)

Answers

Answer:

7x + 1 Remainder -6x - 1

or

7x + 1 - (6x + 1)/(x² + 1)        

Step-by-step explanation:

(7x³ + x² + x) ÷ (x² + 1)

                                        7x + 1

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

                         x² + 1   |  7x³ + x² + x

                                        7x³ + 0  + 7x

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

                                                 x² - 6x

                                                 x² + 0x  + 1

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

                                                       -6x - 1

(7x³ + x² + x) ÷ (x² + 1) = 7x + 1 Remainder -6x - 1

or

(7x³ + x² + x) ÷ (x² + 1) = 7x + 1 - (6x + 1)/(x² + 1)                                            

A shoe store sells sneakers, loafers, and boots in narrow, medium, and wide widths. They are available in sides 6, 6.5, 7, 7.5, 8, 8.5, 9, 9.5, 10, and 10.5. Find the number of pairs of shoes available. Then find the probability of selecting a size 8 in medium width sneakers. Is it likely or unlikely that the size would be chosen?

Answers

Answer:

1/90

Step-by-step explanation:

what is the difference between descriptive statistics and inferential statistics?

Answers

A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.

Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.

The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.

The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.

Hence we get the required answer.

Learn more about Statistics here:

brainly.com/question/15980493

#SPJ4

the measure of ∠ 1 is 50 degrees. what is the measure of ∠ 6 ?

Answers

If the measure of angle 1 is 50° then the measure of angle 2 is 30°.

We know that line l ∥ line m and line p is the transversal.

Let's label the diagram as follows.

Now, by the vertically opposite angles theorem,

we have angle 1 = ∠TPQ = 50°

now ∠P and ∠Q form interior angles,

Hence, by the interior angles theorem, we have

∠P + ∠Q = 180°

The sum of the interior angles of the angles formed by the transversal is 180°.

50° + ∠Q = 180°

subtracting 50° on both sides we get,

∠Q = 180° - 50°

∠Q = 30°

Hence, the measure of angle 2 is 30°.

Read more about transversal:

brainly.com/question/24607467

#SPJ4

The complete question is -

In the given figure, line l and line m are parallel and line p is transversal If the measure of 1 is 50 degrees what is the measure of 2?

the wait time to ride the ferris wheel at a state fair is 15 minutes when 75 people are in line. at this rate, how long is the wait time when 200 people are in line?

Answers

The wait time required for 200 people are in line would be 40min.

Given that:

wait time to ride the ferris wheel for 75 people is 15 minutes.

we have given 200 people that are in line to ride.

for each person in line from the beginning is an additional 0.2 wait time.

so, the number of people in line n times = 0.2 = wait time.

Therefore,

                 [tex]\frac{15\ min}{75 \ people}=0.2\frac{min}{people} \\\\wait \ time = n*0.2\frac{min}{people} \\\\wait\ time = (200)*0.2\frac{min}{people}\\\\wait\ time = 40 min[/tex]

Hence, The wait time required for 200 people are in line would be 40min.

To know more about Wait time visit,

https://brainly.com/question/14423942

#SPJ4

A study indicated that the citizens of Washington wasted 7,470 gallons of water last year. This year, they wasted 30% less. How many gallons did the citizens waste this year?

Answers

The number of gallons the citizens waste this year is 5229

How to find the number of gallons

information from the problem

The citizens of Washington wasted 7,470 gallons of water last year

This year, they wasted 30% less

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

30%

= 30 / 100

= 0.3

The factor 0.3 less

= 1 - 0.3 = 0.7

The number of gallons wasted this year

= 0.7 * 7470

= 5229

The number of gallons wasted is 5229 gallons

Learn more about percent here:

https://brainly.com/question/29230566

#SPJ1

using the information in q8, what is the optimal number of cookies to make? 2,600 dozen 2,400 dozen 2,200 dozen 2,000 dozen 2,800 dozen

Answers

By using probability, it can be calculated that-

the optimal number of cookies to make is 2400 dozens

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Here

Each dozen of cookies is sold for $1.99 and cost $0.99

Shortage = $(1.99 - 0.99) = $1

Cookies that are not sold at the end of the day are reduced to $0.49

Overage = $(0.99 - 0.49) = $0.5

Service = [tex]\frac{1}{1 + 0.5}\\[/tex]

              [tex]=\frac{1}{1.5}\\\\=\frac{2}{3}\\\\=0.67[/tex]

Now the table is

Demand               Probability of demand             Cumulative probability  

(Dozen)

1800                          0.05                                             0.05

2000                         0.15                                              0.2

2200                         0.2                                               0.4

2400                         0.3                                                0.7

2600                         0.2                                               0.9

2800                         0.1                                                 1

Here the closest to service is 0.7

So the optimal number of cookies to make is 2400 dozens

To learn more about probability, refer to the link-

https://brainly.com/question/25870256

#SPJ4

Complete Question

Famous Albert prides himself on being the Cookie King of the West. Small, freshly baked cookies are specialty of his shop. Each dozen sells for $1.99 and costs $0.99, which includes handling and transportation. Cookies that are not sold at the end of the day are reduced to $0.49 and sold the following day as day-old merchandise. Famous Albert has asked for help to determine the number of cookies he should make each day. From an analysis of past demand he estimates demand for cookies as

Demand                Probability of demand            Cumulative probability    

(Dozen)

1800                          0.05                                          

2000                         0.15                                            

2200                         0.2                                              

2400                         0.3                                              

2600                         0.2                                            

2800                         0.1                                                

Using the information in q8, what is the optimal number of cookies to make? 2,600 dozen 2,400 dozen 2,200 dozen 2,000 dozen 2,800 dozen

2,600 dozen 2,400 dozen 2,200 dozen 2,000 dozen 2,800 dozen

There are 24 members of a kayaking club this summer. Next year, Owen hopes the number of members will be 125% of this number.



Write a percent equation in the form part = percent • whole that can be used to find 125% of 24. Use p to represent the part and represent the percent as a decimal.

Answers

The percent equation in the form of p = percent x whole is

p = 1.25 x 24

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of members in the club = 24

Number of members in the club next year = 125% of 24

The percent equation of 125% of 24.

p = 125/100 x 24

p = 1.25 x 24

p = 5/4 x 24

p = 5 x 6

p = 30

Thus,

The percent equation is p = 1.25 x 24

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ1

What is the value of x?

Enter your answer as a decimal to the nearest tenth in the box.

Answers

Answer:3

Step-by-step explanation:

Question 2 Please Help Me!!!

Answers

Answer:

option a) since the arcs r drawn on both the sides of the line

and also as the arcs intersect each other at the center of the line AB

A shoe company packs boxes of shoes in crates, divide to complete the table

Answers

Answer:

2/ 95

3/ 72

4/ 453

Step-by-step explanation:

2/ Take 2185 divided by 23 = 95

3/ Take 3888 divided by 54 = 72

4/ Take 7248 divided by 16 = 453

you draw a two-card hand from a standard deck of 52 cards. what is the probability of drawing a hand that contains exactly 2 face cards (a face card is a king, queen, or jack)?

Answers

By using the concept of probability, it can be calculated that -

Probability that a two-card hand from a standard deck of 52 cards contains exactly 2 face cards (a face card is a king, queen, or jack) = [tex]\frac{11}{221}[/tex]

What is probability?

At first it is important to know about probability of an event.

Probability gives us the information about how likely an event is going to occur.

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Number of face card = 12

Total number of cards = 52

Probability that a two-card hand from a standard deck of 52 cards contains exactly 2 face cards (a face card is a king, queen, or jack) = [tex]\frac{{12 \choose 2}}{{52 \choose 2}}[/tex]

                                                                                                = [tex]\frac{66}{1326}[/tex]

                                                                                                = [tex]\frac{11}{221}[/tex]

To learn more about probability, refer to the link-

https://brainly.com/question/25870256

#SPJ4

suppose that the rural wage is $2 per day. urban modern sector employment can be obtained with a probability of 0.24 and pays $4 per day. the urban informal sector pays $1 per day. using this information, and making assumptions as needed, predict whether there will be any rural-to-urban or urban-to-rural migration? explain your reasoning, stating explicitly any simplifying assumptions, and show all your work.

Answers

The solution to given problem is  since E(Wu) < Wr, there will be no migration from rural areas .

What does probability theory entail?

The subject of probability in mathematics is concerned with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, with 1 typically signifying certainty and 0 typically signifying impossibility.

Here,

Since ,the rural wage is $2 per day. Urban modern sector employment can be obtained with .24 probability and pays $4 per day. The urban traditional sector pays $1 per day.

As long as the rural pay (Wr) differs from the anticipated urban wage (E(Wu)), according to the Harris-Todaro model, there will be movement between rural and urban areas.

Here, Wr equals $2.00.

Determine the anticipated urban wage now.

E(Wu) = p

*Wum+(1-p)

*Wut

Where p is the likelihood of finding employment in the urban modern sector, which is 0.25, and Wum is the wage for such employment, which is $4.00.

Wut = $1.00 in wages for jobs in the typical urban sector.

Hence, E(Wu) = 0.24*$4.00+0.76*$1.00 = $1.72

Since E(Wu) < Wr, there will be no migration from rural areas .

To know more about probability , visit

https://brainly.com/question/11234923

#SPJ4

8,3, -i
what is the polynomial function for these numbers

Answers

Answer:

f(x) = x⁴ - 11x³ + 25x² - 11x + 24

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

It is assumed the provided numbers are the zero's of the polynomial function.

We know complex zero's come in pairs if function has rational constants.

So we should have zero's: 8, 3, -i and i.

Find the polynomial:

f(x) = (x - 8)(x - 3)(x + i)(x - i) = (x² - 11x + 24)(x² + 1) = x⁴ - 11x³ + 25x² - 11x + 24

Write the equation of the line in fully simplified slope-intercept form.​

Answers

Answer: y = -1/2x - 3

Step-by-step explanation:

Find the number x, If 11/3 of x is 55

Answers

The missing number of the algebraic expression is; x = 15

How to solve algebraic word problems?

We are given the algebraic expression that we should find the number x, If 11/3 of x is 55.

This can be expressed as;

(11/3)x = 55

Multiply through by 3 to get;

(11/3)x * 3 = 55 * 3

11x = 165

Divide both sides by 11 to get;

11x/11 = 165/11

x = 15

Which we conclude that 15 is the missing number.

Read more about Algebra Word problems at; https://brainly.com/question/21405634

#SPJ1

the different geometries that a molecule can attain by bond rotations and bends are called conformations. True/False ?

Answers

TRUE: A molecule can adopt a variety of geometries known as conformations by the rotation and bending of its bonds.

Conformational isomerism, often known as stereoisomerism, is a type of stereoisomerism in chemistry in which the isomers can be changed to one another simply by rotations about formally single bonds. Different conformations refer to any two arrangements of atoms in a molecule that differ by rotation about a single bond, whereas conformations that correspond to local minima on the potential energy surface are more specifically known as conformational isomers or conformers.

As a result, conformational isomers differ from other classes of stereoisomers (such as configurational isomers), where interconversion entails the necessary breaking and reformation of chemical bonds.

Thus, the statement, The different geometries that a molecule can attain by bond rotations and bends are called conformations is TRUE

To learn more about isomerism refer here

https://brainly.com/question/26298707

#SPJ4

Finn shows his work in finding the solution to 4x+6=2+3(x+2). After checking his answer in the original equation, he found that it did not work. Where did he make a mistake?.

Answers

Finn had solved the bracket in an incorrect way because of which he got a wrong answer.

Here we see that the equation is

4x + 6 = 2 + 3(x + 2)

Here we see that Finn has opened the brackets to write

4x + 6 = 2 + 3x + 2

Here is the point where he made a mistake.

When we have a term that needs to be multiplied by the terms in a bracket, we need to multiply it with every term inside the bracket.

This means, that 3 needs to be multiplied with x as well as 2.

Hence we get

4x + 6 = 2 + 3x + 6

Now if we deduct 3x from both sides we will get

x + 6 = 8

Now deducting 6 from both sides gives us

x = 2

Hence the value of x is 2

https://brainly.com/question/24346515

To know more about linear equation visit

#SPJ4

A `16`-ounce bottle of orange juice contain `200` milligram of vitamin C, which i `250\%` of the daily recommended amount (for adult). What i `100\%` of the daily recommended amount of vitamin C?

Answers

If 16 ounce bottle of orange juice contain 200 milligram was 250% from total of daily recommended amount , then 100% or recommended vitamin C to daily consume is 80 milligram.

How to prove it?It was given that in a bottle on 16-ounce bottle size contains 200 milligram of vitamin C, which is contain 250% amount of recommended daily consume. Then to know a real amount or recommended amount to consume vitamin C in daily is: 200/250 × 100.The result from 200/250 × 100, is 80.Then the conclusion is, recommended daily consume of vitamin C, or 100% of the daily recommended amount of vitamin C is, 80 milligram.

Learn more about the percentage here: brainly.com/question/2724587

#SPJ4

Other Questions
Match the system with its correct description: central nervous system. Find the volume and surface area of a square pyramid. Volume of a pyramid: v = 1/3(area of base) x (height) surface area of a pyramid: a = 1/2(perimeter of base) x (slant height) + (area of base) a pyramid has a height of 4. 7 in. And a slant height of 5. 2 in. Its base is a square with sides of 3. 5 in. Find the pyramid's volume and surface area. Volume (to the nearest tenth) = in3 surface area (to the nearest tenth) = in2. T/F. the consumer price index's advantages over the gdp deflator is that its focus on the goods of an average household allows it to more clearly measure the effect of inflation on the average customer. after servicing a hybrid car, the engine will not start. technician a says the wrong engine oil was installed. technician b says the wrong type of brake fluid was used. who is correct? a person on a scale rides in an elevator. if the mass of the person is 60.0 kg and the elevator accelerates upward with an acceleration of 4.90 m/s2, what is the reading on the scale? south beach apparel issued 15,000 shares of $4 par value stock for $20 per share. what is true about the journal entry to record the issuance? Part B Which context clue in the sentence best supports the meaning youidentified in Part A?a. used tob. in a barnc. crumbledd. over the yearsDort A first and then answer a traffic light of weight 100 n is supported by two ropes that make 30 degree angle with the horizontal. what is the vertical component of the tensions in each rope? A fast-food restaurant runs a promotion in which certain food items come with game pieces. According to the restaurant, 1 in 4 game pieces is a winner. If jeff gets 4 game pieces, what is the probability that he wins exactly 1 prize?. If you were given a bacterial strain with a mutation in the promoter region of the trp operon the most likely effect would be:_______. Mya is planning a research paper about social media and employment. Which research question should she use to keep her research paper focused?. Felix and oscar are roommates. oscar is messy and felix plans to move out unless they can come to an agreement. the roommates can only reach a private solution if oscar compensates felix for being messy.a. Trueb. False In "how to jump-start a car batter," what is the first step? listen to exam instructions which step in the penetration testing life cycle is accomplished using rootkits or trojan horse programs? you are installing virtualization on a workstation that needs to support multiple operating systems. which type of hypervisor is best suited for this environment? Jack spends 15 % of his pocket money on sweets and 35 % on magazines. He saves the rest.Work out how much he spends and saves each week.Sweets ____pMagazines ___Savings ____ 5.how has the rural-to-urban migration affected the urban cultural landscape of the developing world by prominently bringing in the visual imprints on the ground? find the number of different ways that 570 contestants can win different first, second and third prizes. Metro, Inc. sells backpacks. The Company's accountant is preparing the purchases budget for the first quarter operations. Metro maintains ending inventory at 20% of the following month's expected cost of goods sold. Expected cost of goods sold for April is $70,000. All purchases are made on account with 25% of accounts paid in the month of purchase and the remaining 75% paid in the month following the month of purchase.SalesJanuaryFebruaryMarchBudgeted cost of goods sold$ 40,000$ 50,000$ 60,000Plus: Desired ending inventory10,000Inventory needed50,000Less: Beginning inventory(8,000)Required purchases$ 42,000Based on this information the total cash paid in March to settle accounts payable is$39,000.$15,500.$62,000.$54,500.1a. The amount of accounts payable appearing on the March 31 pro forma balance sheet is$15,500.$46,500.$62,000.None of the answers is correct. -do you think adolescents who commit violent offenses should be charged as adults and held as completely responsible for their actions?- Are there ever exceptions to the side you are arguing? If so, what criteria would you use to determine this?