any help please - Simplify the expression 3(x + 2) –5(2x + 1). Factorise the expression 12x –18y and 2x2–5x –3. (3+6=9)

Answers

Answer 1

Simplifying the expression, the answer would be -7x+1

Solution

3 (x+2) - 5 (2x+1)

3x + 6 - 10x -5

COLLECT LIKE TERMS

3x - 10x + 6 - 5

= -7x+1


Related Questions

Please solve the ques below:

Answers

Answer:

510 miles

Step-by-step explanation:

                                       A                     B

Rate                               80                  120

Time                                 x                     x - 2

Distance        

Distance = rate x time

A's distance

d = 80x

B's distance

d = 120(x -2)          

The distances equal each other when B catches up to A.  Set the equations equal to each other and solve for the time

80x = 120(x -2)  Distribute the 120

80x = 120x - 240  Subtract 120x from both sides

-40x = -240    Divide both sides by -40

x = 6

After 6 hours, B caught up with A.  Substitute 6 for t and find the distance. You can use A or B.    

d= 80x

d = 80(6)

d = 480

We need to add another 30 miles to get to the next town.

480 + 30 = 510

Decide whether triangles ABC and DEC are similar. Explain or show your reasoning.

Answers

Triangles ABC and DEC are similar.

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, we have,

Given the triangles ABC and DEC

For the triangle ABC:

m∠A = 36, m∠B = 21

So, the m∠C = 180 - (m∠A + m∠B ) = 180 - (36 + 21) = 123

Similarly, the angles of DEC are,

m∠D=36 , m∠C=123 & we get,  m∠E =21

So, comparing the measurements of the angles of both triangles:

m∠A=m∠D.

m∠C=m∠C

m∠B=m∠E

So, the triangles are similar using the AAA postulate.

Hence, triangles ABC and DEC are similar.

To learn more on triangle click:

https://brainly.com/question/29126067

#SPJ1

What is the equation of the least squares regression line for the data set?

Answers

The equation of the least squares regression line for the data set is (b) ŷ = -2.984x + 112.38

How to determine the equation of the least squares regression line for the data set

From the question, we have the following parameters that can be used in our computation:

Volunteer 15 11 22 35 18 41 27 18

Trees 77 99 4 11 44 14 2 90

Using a graphing calculator, we have the following calculation summary

Sum of X = 187Sum of Y = 341Mean X = 23.375Mean Y = 42.625Sum of squares (SSX) = 741.875Sum of products (SP) = -2213.875

The regression equation is represented as

ŷ = bX + a

Where

b = SP/SSX = -2213.88/741.88 = -2.98416

a = MY - bMX = 42.63 - (-2.98*23.38) = 112.37978

So, we have

ŷ = -2.98416X + 112.37978

Approximate

ŷ = -2.984x + 112.38

Hence, the equation  is ŷ = -2.984x + 112.38

Read more about linear regression at

https://brainly.com/question/10209928

#SPJ1

Write an equation of a line

Answers

Answer:

Step-by-step explanation:

Steps to find the equation of a line from two points:

   1) Find the slope using the slope formula. ...

   2) Use the slope and one of the points to solve for the y-intercept (b). ...

   3) Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = MX + b) to get the equation for the line.

help me pls

Angle Relationships

Answers

As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.

Define angle.

When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles. 360 degrees make up a circle. A 720° angle indicates that the object has completed two full rotations.

Here,

You can compare angles and take into account their relationships to other angles in addition to calculating degrees or radians.

Since we are comparing the position, measurement, and congruence of two or more angles, we refer to them as having "angle relationships."

For instance, two lines or line segments that cross each other create two pairs of vertical angles.

When a transversal intersects two parallel lines, complex angle relationships, such as alternating interior angles, matching angles, and so forth, result.

As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.

To know more about angle , visit

https://brainly.com/question/28451077

#SPJ1

In a village, the cases of a particular infectious
disease have been exponentially decreasing at
a rate of 95% per year since the people started
receiving the vaccine. If there were 200 cases
in the village to start with, predict the number
of cases after 2 years.
First, complete the equation:
Remaining Amount = 200(1-0.95)²

Answers

The number remaining in the village is 30.

How many people remain?

We have to note that the case in which the population of the community is being reduced because of the fact that the community is being ravaged by disease is a case of a decrease in the population and is a problem of exponential decrease.

Then we would have that;

N =Noe^-rt

N = Number at time t

No = Initial number

r = spread rate

t = time taken

Then;

N = 200e^-0.95 * 2

N = 30

Thus, they would have only 30 people left.

Learn more about exponential:https://brainly.com/question/14355665

#SPJ1

5
Jasmine is a receptionist at a doctors office. She books 36 appointments each day.
Four out of every 24 appointments are cancelled. How many appointments are cancelled
each day?
6
Kendrick's Kennel has 2/spots for cats for every spots for dogs. If he has a total of
(144 spots for both cats and dogs, then how many more spots does he have for dogs

Answers

Answer:

5. 6 appointments are cancelled

6. 80  more spots

Step-by-step explanation:

5. Jasmine has 36/24 = 1.5 times as many appointments as cancellations each day.

Since 1.5 times 4 is 6, Jasmine has 6 cancellations each day.

6. Kendrick's kennel has 2 spots for cats for every 7 spots for dogs. If he has a total of 144 spots for both cats and dogs;

Spots for cats = 2x ;

So, spots for dogs will be = 7x ;

Total spots for cats and dogs will be = 2x + 7x = 144 ;

x = 144/9 = 16 ;

So, spots for cats = 2 * 16 = 32 ;

Spots for dogs = 7 * 16 = 112 ;

spots for dogs more than cats are = 112 - 32 = 80 .

Kendrick kennel has 80 more spots for dogs than cats.

Dilate the line shown by a scale factor of 1/4 with the center as (-3,9). Graph the dilated line

Answers

On solving the provided question we can say that - the coordinates from the graphs will be P' = (0.0); Q' = (1,0); R' = (1,1); S' = (0,1)

what are coordinates?

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is r

A fixed point serves as the dilation's center.

Dk is used to represent dilation, where k is the scale factor.

Dk (x, y) = for a dilation centered on the origin (kx, ky)

Let's assume that you have a PQRS rectangle where

P = (0,0)

Q = (4,0)

R = (4,4)

S = (0,4)

You must multiply each coordinate by 1/4 to achieve the dilation of this PQRS to P'Q'R'S' with a scale factor of 1.

P' = (0.0)

Q' = (1,0)

R' = (1,1)

S' = (0,1)

You may plot both of these rectangles to see that they are the same size and are centered on the origin, but they have different shapes.

To know more about coordinates  visit:

https://brainly.com/question/27749090

#SPJ1

54% of 59.7 is what?

Answers

Answer:

Step-by-step explanation:

15.9 beacuse yeah thats it

The answer would be 32.238

what is the correct factorization of 100^12

Answers

Answer:

GCF of 12 and 100 by Prime Factorization

Prime factorization of 12 and 100 is (2 × 2 × 3) and (2 × 2 × 5 × 5) respectively. As visible, 12 and 100 have common prime factors. Hence, the GCF of 12 and 100 is 2 × 2 = 4.

GCF of 12 and 100 by Listing Common FactorsFactors of 12: 1, 2, 3, 4, 6, 12Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

There are 3 common factors of 12 and 100, that are 1, 2, and 4. Therefore, the greatest common factor of 12 and 100 is 4.

please help it’s due in half an hour

Answers

Answer:

(a) They asked for one value of x

but I'll give you both

They're 2 and -2

(b)g(-1) = 4

Step-by-step explanation:

For (a) they're are looking for the value of x that is corresponding to 1 on the y axis

If you observe from your graph only -2 and 2 will have a corresponding value of 1 therefore they're the answers

for (b) Just look for the corresponding value of -1(x -axis) on the y axis which is 4

To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

What is the maximum time (in seconds) that she can take on her last lap and still make the team?

Answers

52s is the maximum time that she can take on her last lap and still make the team.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ1

y-5=-7/3(x-3) in standard form

Answers

Answer: The equation Y-5 = -7/3(X-3) in standard form is:

3Y - 15 = -7X + 21

Step-by-step explanation:

Carmen and her dog, Duke, walk 5 blocks in 8 minutes. Terell and his dog, Lady, walk 8 blocks in 12 minutes. Who walks at a slower rate? How long whould it take that person to walk 12 block?

Answers

Carmen and her dog, Duke walked at a slower rate at 0.625 blocks/min

Carmen and her dog, Duke would take 19.2 minutes to work 12 blocks.

What is rate?

In math, a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate. The word "per" can be further replaced by the symbol "/" in problems.

Carmen/Duke walks 5/8 = 0.625

Terell/Lady walks 8/12 = 0.677

Therefore, from the average time, Carmen and Duke walk slower.

Carmen and Duke will walk 12 blocks in;

= 12/0.625

= 19.2 minutes

Learn more about rate here: https://brainly.com/question/119866

#SPJ1

Shana wants to buy a music player. She has $100 cash.

Can Shana afford an $89 unit plus HST? Yes or No?

Provide an estimate or a calculation to support your answer=

What is the original price of the most expensive item
Shana can buy for $100?

Answers

Yes, Shana can afford an $89 unit plus HST. The total cost of the unit would be $100.20, which is within her budget. The original price of the most expensive item Shana can buy for $100 is $89.

leila says that 75% of a number will always be greater than 50% of any other number
support
75% of ____>50% of _____
refute
75%of ____ < 50% of_____

Answers

Answer:

it is not always true that 75% of a number will be greater than 50% of any other number

Step-by-step explanation:

Leila's statement is not true. It is possible for 50% of a number to be greater than 75% of another number.

For example, consider the numbers 10 and 100. 50% of 10 is 5, and 75% of 100 is 75. In this case, 50% of 10 (5) is greater than 75% of 100 (75).

Here's another example: 50% of 20 is 10, and 75% of 30 is 22.5. In this case, 50% of 20 (10) is again greater than 75% of 30 (22.5).

Therefore, it is not always true that 75% of a number will be greater than 50% of any other number.

a parallelogram has sides that are in the ratio of 7:5 the premeter of the parallelogram is 48 how long does the longer side

Answers

Hello there!

Answer:

14

Step-by-step explanation:

Let the smaller side is x. Then the largest side is x * 7/5.

Perimeter is equal to 2 * (x + 7/5 * x) or 48.

2 * (x + 7/5 * x) = 48

5/5 * x + 7/5 * x = 24

12/5 * x = 24

12/5 * 5/12 * x = 24 * 5/12

x = 10.

Tha larger side is 10 * 7/5 = 14.

Step-by-step explanation:

Given ,

Ratio of the sides of a parallelogram are 7:5Perimeter of a parallelogram is 48

To Find : Which side is longer

We know the formula to find the perimeter of a parallelogram is,

[tex]P = 2(a+b)[/tex]

We take 'x' to find out which side is longer

[tex]48 = 2(7x+5x)\\48 = 2(12x)\\48 = 24x\\\frac{48}{24} = x[/tex]

[tex]2 = x[/tex]

Side a = 7x = 7 x 2 = 14

Side b = 5x = 5 x 2 = 10

Side a [tex]\geq[/tex] Side b

Hence,  side a is longer

LMNP is a rectangle. Find the value of x and the length of each diagonal. LN=x and MP=4x-6

Answers

Answer: x = 2.

LN = MP = 2.

Solution in the photo, below.

A 3-gallon container of disinfectant costs $36.24. What is the price per quart?

Answers

Answer:

10.74666666666667 per quart

Step-by-step explanation3 divided 36.24

Please help will mark

Answers

Answer:

this is the graph and just find the slope each equation

I need c15 and c16 doing please with working out thank you

Answers

Therefore , the solution to the given problem of circle comes out to be area = 25.1 sq cm and perimeter=12.5 cm.

What is the circle?

Every position in a circle's plane is equally spaced from the centre and is considered to be a closed, double object. A line of reflected symmetry is created as a result of each line traversing the circle. Each angle also has an axis of symmetry that circles its center.

Here,

Given : Diameter = 8

Radius = 8/2 = 4cm

To find the semi circle area

=>semi circle area = πr²

=>  22/7 * 4² *1/2

=>  25.1 sq cm

To find the perimeter of semi circle :

=> 2πr /2

=> πr

=> 22/7*4

=>12.5 cm

Therefore , the solution to the given problem of circle comes out to be area = 25.1 sq cm and perimeter=12.5 cm.

To know more about circle visit :-

brainly.com/question/29142813

#SPJ1

A physically active adult weighing 170 pounds needs to consume about 2815 calories per day in order to maintain his or her weight. A nutritionist recommends that no more than 30% of those calories should come from simple sugars What is the maximum number of calories per day that should come from simple sugars?

Answers

Answer:

844.5 calories.

Step-by-step explanation:

If a physically active adult weighing 170 pounds needs to consume about 2815 calories per day in order to maintain his or her weight, and a nutritionist recommends that no more than 30% of those calories should come from simple sugars, the maximum number of calories per day that should come from simple sugars is:

2815 calories * 30% = <<281530.01=844.5>>844.5 calories

So, the maximum number of calories per day that should come from simple sugars is 844.5 calories.

Answer

844.5

Step-by-step explanation:

80+100=180

180÷100=1.80

1.80×2815=844.5

FIND THE SLOPE . THE PICTURE ATTACHED IS THE FULL QUESTION ,

Answers

Answer:

-12/5

Step-by-step explanation:

slope = change in y / change in x

change in y = 12 (from top to bottom) = 6 - (-6)

change in x = -5 (from top to bottom) = -2 -3

slope = 12/-5 = -12/5

SAVINGS Natalie has $250 in her savings account, into which she deposits $10 of her allowance each week. The balance of her savings account can be modeled by the function f(w)=250+10w, where w represents the number of weeks. Which function g(w) represents the balance of Natalie’s savings account if she withdraws $40 to purchase a new pair of shoes? Describe the translation of f(w) that results in g(w).

Answers

Answer:

Answer:Step-by-step explanation:GivenRequiredDetermine g(w)First, we'll write an expression for g(w)From the question, we understand that she withdrew $40 from her account balance in w weeks.This implies that:Where f(w) is the account balance in w weeks and $40 is the withdrawn amountSubstitute 250 + 10w for f(w)Collect Like TermsRecall that:This means that function f(w) when shifter by 40 units downward, gives g(w)

Step-by-step explanation:

Translate the following: "Four times a number n is equal to the difference between that number and 10"

Answers

Answer:

4n=10-n

n=2

Step-by-step explanation:

add n to both sides

5n=10

divide both sides by 5

n=10/5

n=2

Hello, I am stuck on this question which is a exchange rate question

if 1 sar is worth 0.05 US dollars, how many south african rand is 1 US dollar worth?

Answers

Answer:

0.05 US$=1 sar

then,1 US$=1/0.05 sar.

7 x (n + 3) = (7 x 2) + (7 x 3)

Answers

Answer:

N = 2

Step-by-step explanation:

We must solve for N.

Solve inside the parenthesis if needed, otherwise open them

7n + 21 = (14) + (21)

Now solve, then simplify

7n + 21 = 35

7n = 35 - 21

7n = 14

N = 2

Lana wants to enclose a garden plot each side of the garden will be 9 feet what is the area of the garden

Answers

The area of garden will be 81 feet².

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Each side of the garden = 9 feet

We know that;

⇒ Area of square = Side²

Here, Each side of the garden = 9 feet

Hence, The area of garden = 9²

                                           = 81 feet²

Thus, The area of garden = 81 feet²

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1

Photo attached someone please help
thanks

Answers

By drawing the line x + y = 2, one of the solution to the given system of equations is (0, 2).

What is the equation of a circle?

Mathematically, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²  

Where:

h and k represents the coordinates at the center of a circle.r represents the radius of a circle.

From the information provided, we have the following system of equations:

x² + y² = 9             ......equation 1.

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

Next, we would use an online graphing calculator to plot the given system of equations and then highlight (read) the point of intersection, which is the ordered pair (0, 2).

Read more on equation of a circle here: brainly.com/question/17028215

#SPJ1

What is the value of the expression below when x=2?
8x^2 +6x-8
8x
2
+6x−8

Answers

When we evaluate the expression 8x² + 6x - 8 in x = 2, we will get the value 36.

What is the value of the expression when x = 2?

Here we need to evaluate the following expression:

8x² + 6x - 8

in x = 2.

Evaluating means that we need to replace the variable by the given number. Replacing the "x" by 2, we will get:

8*2² + 6*2 - 8

8*4 + 12 - 8

8*3 + 12

24 + 12 = 36

When x = 2, the expression is equal to 36.

Learn more about evaluating expressions:

https://brainly.com/question/4344214

#SPJ1

Other Questions
Question 16 of 20 How did Sojourner Truth work to change the public's perception of slavery? A. She spoke throughout the country about her abolitionist views. B. She used her legal status to fight for enslaved people in the court system. C. She ran for public office to have a voice in creating and changing laws. D. She created a newspaper to publish the views of former slaves.Inbox Perimeter > 50 solve please need by tonight Whose shrine does the Durham Cathedral House What other purpose did or does the Cathedral serve? What is e called in log e? Why are unheard melodies considered to be sweeter than heard ones in Ode on a Grecian Urn? Find the nth term of the following sentence -5,-2,3,10,19 PromptSince we are on the topic of Global Economic Policy and the U.S. in World Affairs, let's revisit one of the Learning Focus &Essential Questions:"How does the World view the U.S. and why does that vary in different countries or regions?"Using the information from this section - answer the question above in paragraph form and use examples from this sectionand outside resources if needed. how did the election of Ulysses s. grant affected the voting rights of african americans? What is the situational irony in the story of Jim and Della Support your answer with the details from the story? Roman urbanism was based on the philosophy of imperial order, a means of making manifest through planning and architecture common urban spatial arrangements and building types. Which of the following is NOT considered an element of Roman urbanism imperial order Jim wrote the following derivation of a term with a rational exponent based on a term consisting of a radicand that is less than 0 A student places a sample of a pure metal in a crucible and heats it strongly in air. Data from the experiment are given in the table above. The final mass was determined after the sample was cooled to room temperature. Which of the following statements related to the experiment is correct? (See attached table)a.) The mass of the sample decreased, so physical changes occurred as the metal first melted and then boiled out of the crucible.b.) The mass of the sample increased, so a chemical change occurred when bonds formed between the metal and another substance.c.) There was nothing for the metal to react with, so only a physical change could have occurred.d.) The sample was only heated, so neither a physical nor a chemical change occurred. The ratio 81:108 in the simplest form which of the following would be true in a country with a command economy? A. private citizens can't own companies, B. wages would be set by individual business owners. C. output targets would be set by individual business owners. D. private citizens would decide what goods to produce Read the following article on Gertrude Elion. Then, read the summary that follows. You will notice that the summary is incorrectly written. In this lesson, you learned six rules for writing an effective summary. Using this information, make three specific suggestions that would improve this ineffective summary.Important note: Do NOT write a summary. You will write three suggestions for improving this summary. Your suggestions must be based on the six rules of effective summaries that you learned in the lesson.Complete article from Encyclopedia BritannicaU.S. pharmacologist (one who studies drug interactions) Gertrude B. Elion received the Nobel prize for medicine in 1988 along with George H. Hitchings and Sir James W. Black. The three were awarded the prize for their development of drugs used to treat several major diseases.Gertrude Belle Elion was born on Jan. 23, 1918, in New York City. She graduated from Hunter College in New York City with a degree in biochemistry in 1937. Unable to obtain a graduate research position because she was a woman, she took a series of jobs, including lab assistant, chemistry and physics teacher in New York City high schools, and research chemist. During this time she also took classes at New York University, where she earned a master's degree in 1941. Because she could not devote herself to full-time studies, Elion never received a doctorate.In 1944 Elion joined the Burroughs Wellcome Laboratories (now part of GlaxoSmithKline (a company that makes prescription medicines)). There she was first the assistant and then the colleague of Hitchings, with whom she worked for the next four decades. Elion and Hitchings developed an array (variety) of new drugs that were effective against leukemia, autoimmune disorders, urinary-tract infections, gout, malaria, and viral herpes. Their success was due primarily to their innovative (characterized by new or unique) research methods. Rather than using the trial-and-error approach used by previous pharmacologists, Elion and Hitchings examined the difference between the biochemistry of normal human cells and that of cancer cells, bacteria, viruses, and other pathogens (disease-causing agents). They used this information to create drugs that could target a particular pathogen without harming the human host's normal cells. Their methods enabled them to eliminate much of the guesswork and wasted effort typical in previous drug research.Although Elion officially retired in 1983, she helped oversee the development of azidothymidine (AZT), the first drug used in the treatment of AIDS. In 1991 she was awarded a National Medal of Science and was inducted into the National Women's Hall of Fame. She died on Feb. 21, 1999, in Chapel Hill, N.C.Student J. Doe's SummaryGertrude Elion was born in 1918 in New York City. She went to school for many years and eventually won the Nobel prize. She was unable to obtain a graduate research position because she was a woman. She took a series of jobs, including lab assistant, chemistry and physics teacher in New York City high schools, and research chemist. She was a scientist who helped discover many important drugs that saved lives. Elion also discovered new ways to test drugs. She died in 1999, 16 years after she retired from Burroughs Wellcome Laboratories. I think she was a terrific scientist. (10 points) [NEED HELP ASAP] How do I find the surface area of the shape in the picture? Please help me, I need help asap !! I cant figure it out Why are rapidly growing populations an issue? A . They utilize resources faster then they can replenish B. They overwhelm water purification plants. C. They spread out over vast areas of land turning farms and habitat into housing. D . All of the above . Which is not part of a community infrastructure? A. Public water supply B. Arable land C. Power plantsD. Sewer lines In this century , the world population is likely to.. A. Stop growing B. Begin to slowly declineC. Continue to slowly growD. Continue to rapidly grow .Which is not a strategy to reduce population size? A. Public advertising B. Economic incentives C. Legal punishments D. Limiting education for women What does the first and second stanza mean? Given points A (1, 5) and B (-7, -5), which of the following coordinates is the midpoint of AB? (-3, 0) (-4, 0) (-2, 0) (4, 0) (2, 0)