Problem: Four students tried to write 12x + 3y=9 in equivalent y= mx + b form.
Question: Did each student get an equation that is equivalent to the original Ax + By=C form?
If so, explain the reasoning for each step. If not, tell what errors the students made.

Answers

Answer 1
if you convert it to y=mx+b then you would have to subtract 12x from each side to make it 3y= -12x + 9 which if u divide by 3 is y=-4x + 3
Answer 2

Answer:

If they got y = -4x + 3 it is equivalent to the original.

Step-by-step explanation:

Common errors include leaving the y with a coefficient, forgetting to simplify all the terms or getting the slope wrong by using the opposite sign.

(If there are specific results included with the question, you could include them in the comments.)


Related Questions

would set a new school record? A number line going from 515 to 521. An open circle is at 518. Everything to the left of the circle is shaded. A number line going from 515 to 521. A closed circle is at 518. Everything to the left of the circle is shaded. A number line going from 515 to 521. An open circle is at 518. Everything to the right of the circle is shaded. A number line going from 515 to 521. A closed circle is at 518. Everything to the right of the circle is shaded.would set a new school record? A number line going from 515 to 521. An open circle is at 518. Everything to the left of the circle is shaded. A number line going from 515 to 521. A closed circle is at 518. Everything to the left of the circle is shaded. A number line going from 515 to 521. An open circle is at 518. Everything to the right of the circle is shaded. A number line going from 515 to 521. A closed circle is at 518. Everything to the right of the circle is shaded.

Answers

Answer:

C

Step-by-step explanation:

The answer would be C

Translate the sentence into an equation. Two less than the product of 5 and a number equals 9. Use the variable c for the unknown number.

Answers

Answer:

The equation is: \(5c-2=9\)

Step-by-step explanation:

Since 2 less than the product of 5 and a number c is equal to 9, it follows:

\(5c-2=9\)

5•C-2=9 would be the equation

PLEASE HELP ME I NEED TO DO THIS TODAY PLEASE HELP ILL MAKE U BRAINLIST


1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?

2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?

3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?

4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram

5. What is the perimeter of a parallelogram with a base of 32 cm, a side length of 34 cm, and a height of 19 cm?

6. What is the area of a parallelogram with a base of 40 mm, a side length of 15 mm, and height of 18 mm?

7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle

8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?

9. What is the area of a square with a perimeter of 44 mm?

10. What is the area of a square with a perimeter of 55 cm

Answers

Answer:

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height:

Area = base x height

Area = 6.3 m x 27.3 m

Area = 171.99 m²

To find the height of a rectangle, divide the area by the base:

Height = Area / Base

Height = 420.92 mm² / 27.4 mm

Height ≈ 15.35 mm

The perimeter of a rectangle is given by 2 times the sum of the base and height:

Perimeter = 2(base + height)

133.2 mm = 2(30.6 mm + height)

133.2 mm = 61.2 mm + 2 height

2 height = 133.2 mm - 61.2 mm

2 height = 72 mm

Height = 72 mm / 2

Height = 36 mm

To find the height of a parallelogram, divide the area by the base:

Height = Area / Base

Height = 645 m² / 61 m

Height ≈ 10.57 m

The perimeter of a parallelogram is the sum of all its sides:

Perimeter = 2(base + side length)

Perimeter = 2(32 cm + 34 cm) + 2(height)

Perimeter = 2(66 cm) + 2(19 cm)

Perimeter = 132 cm + 38 cm

Perimeter = 170 cm

To find the area of a parallelogram, multiply the base by the height:

Area = base x height

Area = 40 mm x 18 mm

Area = 720 mm²

The perimeter of a rectangle is given by the formula: Perimeter = 2(base + height)

Perimeter = 2(7.9 m + 8.8 m)

Perimeter = 2(16.7 m)

Perimeter = 33.4 m

To find the height of a rectangle, divide the area by the base:

Height = Area / Base

Height = 354 cm² / 23 cm

Height ≈ 15.39 cm

The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 44 mm, we can divide it by 4 to find the length of one side:

Side length = Perimeter / 4

Side length = 44 mm / 4

Side length = 11 mm

To find the area of a square, multiply the side length by itself:

Area = side length x side length

Area = 11 mm x 11 mm

Area = 121 mm²

The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 55 cm, we can divide it by 4 to find the length of one side:

Side length = Perimeter / 4

Side length = 55 cm / 4

Side length = 13.75 cm

To find the area of a square, multiply the side length by itself:

Area = side length x side length

Area = 13.75 cm x 13.75 cm

Area ≈ 189.06 cm²

E e. E e e e er e. E. E. E e e e e e enenendind d. Basically luffy’s Brain is dying
PLEASE HELP ME I NEED TO DO THIS TODAY PLEASE HELP ILL MAKE U BRAINLIST1. If the height of a parallelogram

Really easy please help me

Answers

need a picture or a problem then we can help
We need a picture, then we can help you with the problem.

I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter. How old am I now?

Answers

Answer:

65 years old.

Step-by-step explanation:

Define the variables:

Let x be the age of the granddaughter.Let y be the age of the grandparent.

Given:

I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter.

Create two equations with the given information and defined variables:

\(\begin{cases}y = 13x\\y + 1 = 11(x + 1)\end{cases}\)

Substitute the first equation into the second equation and solve for x:

\(\implies 13x+1=11(x+1)\)

\(\implies 13x+1=11x+11\)

\(\implies 2x=10\)

\(\implies x=5\)

Substitute the found value of x into the first equation and solve for y:

\(\implies y=13(5)\)

\(\implies y=65\)

Therefore, the age of the grandparent now is 65 years.

Given statements:

I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter.

Let us represent the character's age by variables. Assuming that the grandparent's age is G and the granddaughter's age is D. Now, using the obtained variables and the statements, create two equations that represents the provided statements. Then, we can compare the equations and simplify if needed to determine the value of the variables.

    \(\implies \left[\begin{array}{ccc} \text{G = 13D} \\ \text{G + 1 = 11(D + 1)}\\\end{array}\right]\)

Since G = 13D is in the form of direct variation, we can substitute the value of G into the second equation to determine the value of D (the age of the granddaughter). Then, we can substitute the value of D into any of the two equations to determine the age of the grandparent.

⇒ G + 1 = 11(D + 1)⇒ G + 1 = 11(D + 1)                                                                      [G = 13D]⇒ 13D + 1 = 11(D + 1)

To solve for D, simplify both sides of the equation by using the distributive property. We need to simplify both sides of the equation so that we can isolate the variables on the other side of the equation.

⇒ 13D + 1 = 11(D + 1)⇒ 13D + 1 = 11D + 11

Isolate the variables on one side. This step is necessary because it can cancel out the extra variable and simplify the other variable. To do this, you can either add or subtract on both sides of the equation.

Note: I am subtracting 11D on both sides of the equation since it is my preference. But you can also subtract 13D on both sides of the equation.

⇒ 13D + 1 - 11D = 11D + 11 - 11D⇒ 1 + 2D = 11

To further isolate 2D, we need to subtract 1 on both sides of the equation to cancel out the 1 on the left-hand side of the equation. Then, we have:

⇒ 1 + 2D - 1 = 11 - 1⇒ 2D = 10

But the variable is still not completely isolated since there is a coefficient being multiplied to D. To isolate the coefficient from the variable, we will need to divide the coefficient (2) on both sides of the equation.

⇒ 2D = 10⇒ 2D/2 = 10/2

Then, simplify both sides of the equation. Eventually, we will have a variable on one side and a numerical value on the other side.

⇒ 2D/2 = 10/2⇒ D = 5

Now we know the age of the granddaughter, we can substitute the age of the granddaughter into one of the equations and simplify it to determine the age of the grandparent. I am going to choose G = 13D since it is easier to simplify. Then, we will substitute the value of D into the equation.

⇒ G = 13D ⇒ G = 13(5)⇒ G = 65 years

Therefore, the age of the grandparent is 65 years.

Which will result in a perfect square trinomial?

Answers

Answer:

is there a picture?

Step-by-step explanation:

For 15 hours of work, a plumber charges $435. If he charges the same amount for each hour of work, which table shows the correct relationship between what he charges and the number of hours he works?
The attachment shows the full problem

For 15 hours of work, a plumber charges $435. If he charges the same amount for each hour of work, which

Answers

Answer:

29

Step-by-step explanation:

$435 divided by 15 is 29

(I think this is the equation)

The second option because it increases proportionally

Step by step explanation:
435\15 =29
29x3=87
29x5=145
And so on and so on

Determine the magnitude of the difference of the following vectors: 7-7
ū=77 - 127
v=-21 +7
12.08
a.
C.
14.21
b. 13.83
d.
15.81

Answers

Hi there! Let’s see if I can help you <3

The Answer is: 15.81!

Here’s the step by step explication:

First we must find the difference of U and V: (7i-12j)-(-2i+j)

Distributed all out will equal: 9i-13j

We can then go ahead and use Pythagorean therm to find the magnitude: V = Square root of (9)^2 + (-13)^2

This equals Square root of 250!

Depending on the form your teacher wants to answer in it would finally be 5 square roots of 10 or in decimal form; approximately 15.8114!

HOPE IT HELPED YOUUU <3

There are 8 teachers in a school, 4 males and 4 females. 4 teachers are chosen to join a committee. How many ways are there when 2 males and 2 females chosen?

Answers

It is 4 dude this simple math it is basicly subtraction anyway pls give me brainlest

Answer:

Step-by-step explanation:

8 TEACHERS

4 MALES 4 FEMALES

4 ARE GONE SO 2 MALES LEFT 2 FEMALES LEFT =4 TEACHERS

can someone help me plot these??
(+30 points)

can someone help me plot these??(+30 points)

Answers

Answer:

Heres the answer to your question. Hope this helps!

can someone help me plot these??(+30 points)
this is what i got, i just matched the with the pair if you look at the numerator it can help with this type of thing when all the denominators are the same
can someone help me plot these??(+30 points)

This data set shows the daily number of visitors who used the yoga center at the park. The numbers in blue show the numbers for weekends. Daily Number of Visitors 13 15 12 18 9 18 20 15 22 26 24 12 29 12 18 8 16 17 21 19 38 24 37 27 32 34 28 31 15 Select the correct answer. For how many days were the numbers of visitors recorded? A. 27 B. 28 C. 29 D. 30 E. 31

Answers

The answer would be
C. 29
We know this by counting the amount of numbers given for the data set
I don’t know to be real

Alexi bought 5 T-shirts for $12 each and 3 pairs of socks for $2 a pair. Which expression shows how much Alexi spent in dollars. Explain
a) 5 × 12 x 3 × 32
b) 5 × 12 + 3 × 32
c) (5+3) × (12 + 2)

Answers

Answer:

b

Step-by-step explanation:

so hope it help,have a nice day!

b. 5 x 12 + 3 x 2


Alexi bought 5 shirts. Given that each of them costs 12 dollars, we can say that the equation for their price is:

12 + 12 + 12 + 12 + 12 or just 5 x 12


Now, Alexi also bought socks. 3 pairs of them, in fact. Given that each pair was an astounding 2 dollars, we would get this equation:

2 + 2 + 2 or just 3 x 2


Of course, Alexi bought these things together, so they must pay for both things. The total price would be

5 x 12 + 3 x 2 or 66 dollars

The Audio Book App costs $3 to join and $5 for each book purchased. How much will Julius pay if he joins and purchases 5 books?

Answers

Answer:

$28

Step-by-step explanation:

Julious pays 3 dollars to join, and buys 5 books, each of which would be 5 dollars. The equation to solve would be: 3 + (5*5) = ???

The answer would be 28, if you followed PEMDAS.

Answer: $28

$28 cus $5 for 5 books is $25 and add 3 it’s $28

Write an ordered pair for the point in Quadrant 4 that is 4 units away from point S (-1.5, -2.5) on the coordinate plane.


Whoever gets it right first will get brainliest!

Also please include an explanation with your work

thank u
:-)

Answers

Answer:

(2.5, -2.5)

Step-by-step explanation:

I think that's right. Quadrant IV is when there is a positive x and negative y. And I had to make it 4 units away so I added 4 to -1.5 and got 2.5.

Answer:

(2.5, -2.5)

Step-by-step explanation:

HELP?!!!! ITS A A AND B QUESTION

HELP?!!!! ITS A A AND B QUESTION

Answers

Answer:

A: 80 and B: 5.5

Step-by-step explanation:

For A, just multiply 20 and 4 and which you would get 80 miles. And for B, if 1 inch is equal to 20 miles, you can divide 110 and 20 but the answer will be 5.5 rather than 5.

I think this is right but if you can, try and see if it’s correct later.

Answer:

The person who answered first is correct.

Step-by-step explanation:

Help me please!!! 15 point reward + brainliest

Help me please!!! 15 point reward + brainliest

Answers

Answer:

Tails:28

Heads:22

Step-by-step explanation:

3(1−2)<33
I will give brainliest!,
Pls if possible explaine to me how to do ittt

3(12)&lt;33I will give brainliest!,Pls if possible explaine to me how to do ittt

Answers

Answer:

I believe it is B. n<-5

Step-by-step explanation:

Answer:

n>-5

Step-by-step explanation:

Imagine the< is an equal sign Solve it as you would normally do

3(1-2n) < 33

3(1-2n) = 33

Then use the distributive property

3 - 6n = 33

-3. -3

-6n = 30

Inverse operations

-6n = 30

When you use inverse operations and you divide l

or múltiply by a negative number the signs change around < will change to >

-6n = 30

÷-6. ÷-6

n > -5

Please help me. Mark me the branliest.

Topic: Percentage

Q1) 80% of a dog's mass is equal to 24% of the mass of a lion. If the mass of the lion is 105 kg more than the mass of the dog, find the total mass of the dog and the lion.​

Answers

To solve this problem, let's denote the mass of the dog as D and the mass of the lion as L.

We are given that 80% of the dog's mass is equal to 24% of the lion's mass. Mathematically, this can be expressed as:

0.80D = 0.24L

We are also given that the mass of the lion is 105 kg more than the mass of the dog:

L = D + 105

We can use these two equations to find the values of D and L.

Substituting the value of L from the second equation into the first equation:

0.80D = 0.24(D + 105)

Now, let's solve for D:

0.80D = 0.24D + 0.24(105)

0.80D - 0.24D = 25.2

0.56D = 25.2

D = 25.2 / 0.56

D ≈ 45

Now that we have the value of D, we can find the value of L by substituting it back into the second equation:

L = 45 + 105

L = 150

Therefore, the total mass of the dog and the lion is:

D + L = 45 + 150 = 195 kg

So, the total mass of the dog and the lion is 195 kg.
Person above is correct

Can somebody answer the last question for me, please

Can somebody answer the last question for me, please

Answers

Answer:

23 hours

Step-by-step explanation:

e = 7.75h

e equals money earned. He wants to earn $178.25 so that he can get the console.

$178.25 = 7.75h

/ 7.75.  /7.75

h = 23

23 hours

Answer:

23

Step-by-step explanation:

178.25=7.75 so you would divide that and get 23 hrs:)

Answer for free Brainly coins and brainliest later URGENT! :)

Answer for free Brainly coins and brainliest later URGENT! :)

Answers

Answer:

36

Step-by-step explanation:

Answer:

In total there are 36 girls.

Step by step explanation:

We apply the proportion.

for every 2 boys there are 3 girls, therefore the rule of three simple applies.

2 boys 3 girls

  Boys ??? girls

it is multiplied crossed where both ends have data, and the result is divided by the remaining number, being:

3 x 24 = 72

72/2 = 36

At the store you want to buy a bunch of 3d printed Christmas gifts for your family. Each large tree costs $4.50 , and each small tree costs $2.25, If you buy 4 large trees, and can spend a total of $50. Write and solve an inequality for number of small trees (s) you can buy

Answers

We know that each large tree costs $4.50, and each small tree costs $2.25. If you buy 4 large trees, that means you will spend 4 * $4.50 = $<<4*4.5=18>>18 on large trees.

If you can spend a total of $50, then you have $50 - $18 = $<<50-18=32>>32 to spend on small trees.

The total cost of the small trees will be s * $2.25, where s is the number of small trees you buy.

To find the maximum number of small trees you can buy, we can set this expression equal to $32 and solve for s:

s * $2.25 = $32

s = $32 / $2.25

s = 14.22

Since you can't buy a fraction of a tree, the maximum number of small trees you can buy is 14.

Answer:

If each large tree costs 4.50 and you need to buy 4, then 4 x 4.50 = $18.00 leaving you with $32.00. With these 32 dollars left, you can now buy 14 small trees, still being left with a remainder of 0.50$.

Step-by-step explanation:

Help me pls pls pls pls

Help me pls pls pls pls

Answers

Answer:

(520-(114×2))÷2

=(520-228)÷2

=292÷2

=146cm

Perimeter of rectangle:

length×2 + wide×

=Total perimeter



In the diagram, which letter represents the transition from gas to liquid?



B



C



D



E


A graph in five sections, labeled A through E. Horizontal axis has no scale and is labeled Amount of heat added. Vertical axis is labeled Temperature, in degrees Celsius, and extends from negative 100 to 200 with an interval of 50. Section A of the graph is a line segment with positive slope that begins at negative 100 degrees and ends at 0 degrees. Section B is a horizontal line segment that begins where segment A ends, at 0 degrees. Section C of the graph is a line segment with positive slope that begins where segment B ends, at 0 degrees, and ends at 100 degrees. Section D is a horizontal line segment that begins where segment C ends, at 100 degrees. Section E of the graph is a line segment with positive slope that begins where segment D ends, at 100 degrees, and ends at 200 degrees

Answers

Answer: b

Step-by-step explanation:

A prism has a base of 9 and a height of 2. What is the volume?

Answers

Answer:

18

Step-by-step explanation:

i am smart

Answer:

18

Step-by-step explanation:

9 x2=18 not that hard to answer.

PLEASE HELP I NEED TO GET MY GRADE UP!!

Find the commission

PLEASE HELP I NEED TO GET MY GRADE UP!!Find the commission

Answers

Commission Rate * sales = commission amount

6% of 750 =$45
6% of 750= $45 hope this helps:)

similarities between parallelogram, and trapezoid

Answers

Answer:

A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid.

Answer:

Both a parallelogram and a trapezoid have four sides and four angles. Both shapes have opposite sides that are parallel to each other. The main difference between the two shapes is that in a parallelogram, opposite sides are equal in length, while in a trapezoid, only the two parallel sides are equal in length.

On a family camping trip, 5 backpacks can fit in the trailer for every 3 people. If 9 people are going on the trip, how many backpacks can fit?
12 backpacks
14 backpacks
15 backpacks
24 backpacks

Answers

Answer:

15 backpacks

Step-by-step explanation:

9 divided by 3 is 3m so there are 3 times more than 3 people going on this trip

So we just multiply 5 by 3 to get 15

15 backpacks for 9 people

Hopes this helps please mark brainliest

3x3=9 people (3group)
5x3=15backpacks

HELP if you’re smart answer all 9 questions its easy

NO LINKS!!! pls be correct

HELP if youre smart answer all 9 questions its easyNO LINKS!!! pls be correct

Answers

Answer:

\(\pi\) = 3.142

Step-by-step explanation:

75.4 (1dp)150.8 (1dp)

Due in 24 hours. Make the answer understandable and correct. 10 points

Due in 24 hours. Make the answer understandable and correct. 10 points

Answers

Answer:    

   Ethan is correct because two asjacent angles are directly next to each other and do not overlap.

In 3x + 7 = 32,

7 is a/an ___

In 3x + 7 = 32, 7 is a/an ___

Answers

Answer:

in 3x + 7=32

7 is a constant

The answer is 7 is a/an constant!
Other Questions
Jesse has been asked to babysit his younger brother, Caleb, after school. He is concerned that Caleb is not getting enough physical activity because he spends hours each day watching nature shows. What are three activities Jesse and Caleb could do together that both encourage physical activity and incorporate Caleb's love of nature Horses can be cremello (light cream color), chestnut (a brownish color) or palomino(golden color with white in the horse's tail and mane). Of these phenotypes, only palominos never breed true. ParentsF1 Progeny(A) Cremello x Palomino1/2 cremello & 1/2 palamino(B) Chestnut x Palomino1/2 chestnut & 1/2 palomino(C) Palomino x Palomino1/4 chestnut, 1/4 cremello, 1/2 palomino what do we call a group that comes off of the main carbon chain based on the mohs hardness scale which mineral could be scratched by a penny but not by a fingernail Need help quick will give brainliest 1. Explain the purpose of user acceptance test and why every development effort will have some form of UAT.2. Consider the iterative approach Explain why it is logical to assume that each iteration will bring the development closer to 100% successful completion Give one reason why this continuous progress may not happen Describe a way to prevent this problem Please help (brainliest) 40 points A scientist should be creative in order to? In April, the Messa family gets 800 text messages included in their plan. Together, Tommy and Mary use half of the messages. Jack and Stefanie use 240 messages. Cathy uses the rest of the messages. Write and evaluate an expression to find the number of messages Cathy uses. Part A: Write an expression to find the number of messages Cathy uses. What is the value of y? Show work .1. Identify the water conditions at 2000 m. According to the T-S diagram, the density of the 2000 m sample is approximately _______ g/cm3, which makes it part of the ______ mass.a. 1.0280 ... AABWb. 1.0280 ... NADWc. 1.0278 ... AABWd. 1.0278 ... NADW Should developing countries send their most promising students to developed economies to work and build careers? Given the following data for Country A, what is the difference between the ratio of PrimarySurplus/GDP and the risk premium on outstanding debt?Country A:Primary surplus/GDP = 2.1%Sovereign debt/GDP = 95%Nominal GDP growth 3%Nominal Interest rate = 5% how many nadh molecules are made from one molecule of acetyl coa going through the krebs cycle? find the magnitude of the acceleration acm of the center of mass of the spherical shell. take the free-fall acceleration to be g For this testable question write a proper hypothesis and identify the variables.A truck driver wants to find out if there is any relationship between the amount of gas he uses per kilometer and the speed that he's going. The rhetorical devices that Henry used in his speech The following table provides the information necessary to construct a project network and project crash data with indirect cost of $300 per week (8 Points).ActivityCostcost per Maximum CrashingABC D$200PredecessorActivity time (Weeks)ActivityNormalCrashNormalCrashreduction weekweek16 8$2,000 $3,600 8A149 6 $500$1,000$1,800$160A8$7002$100B$600 8740$140D2$1,500$1,650 2875C.D64$800 58802$40EF10 7 $3,000 $3.450 3 $6,000 5$150G1510$5,000 $14,400$200Total costEFGHa. Construct the project network using Activity on Node (AON). b. Determine the critical path.e. Determine the Earliest Start. Earliest Finish Latest Start and Latest Finish times d. Crash the project to as much as possible. based on the dataset,On average, how many lower bowl sales would result if a transaction was not with a loyalty member.please show steps, unable to upload the all the records compare and contrast the views of the U.S. overseas expansion in the late 19th century and the early 20th century. evaluate how understandings of national identity, at the time,