Examine the equation and solution method shown below. Indentify the error and then solve the equation using a valid solution method.

1. Find and explain the error in the solution method.
2. Solve the equation 3(3x+6+x)=1 using a valid solution method.
3. Explain each step in your solution method. Why is your method valid?


Pls Help. 100 points​

Examine The Equation And Solution Method Shown Below. Indentify The Error And Then Solve The Equation

Answers

Answer 1

3 ( 3x + 6 + x ) = 1

Step 1, apply distributive method.

9x + 18 + 3x = 1

Step 2, simplify the following

12x + 18 = 1

Step 3, Change side

12x = -17

Final answer

x = -17/12

The error/mistake was in step 2 where [ 9x +3x = 12x ]

Recheck the answer

3 ( 3x + 6 + x ) = 1

3 ( 3(-17/12) + 6 + -17/12 ) = 1

1 = 1

Hence proved our solution is correct.

Answer 2

Answer:

Question 1

The error is in step 2.  They have subtracted [tex]3x[/tex] from the left side of the equation, yet only subtracted 3 from the right side.

Questions 2 & 3

Solve:

[tex]3(3x + 6 + x) = 1[/tex]

Apply the distributive law [tex]a(b + c) = ab + ac[/tex] :

[tex]\implies 9x + 18 + 3x = 1[/tex]

Collect and combine like terms:

[tex]\implies 9x + 3x+ 18 = 1[/tex]

[tex]\implies 12x + 18 = 1[/tex]

Subtract 18 from both sides:

[tex]\implies 12x + 18 - 18 = 1 - 18[/tex]

[tex]\implies 12x = -17[/tex]

Divide both sides by 12:

[tex]\implies \dfrac{12x}{12}=-\dfrac{17}{12}[/tex]

[tex]\implies x=-\dfrac{17}{12}[/tex]


Related Questions

Jessica bought a $30 outfit for $17. What percent discount did she receive?

Answers

Answer:

Around 57%

Step-by-step explanation:

17 / 30 = .56666666...

Move two decimal places to the left;

56.66666...

Estimate: 57%

Answer:

43.33%

Step-by-step explanation:

30 - 17 = $13

% discount = 13*100 / 30

= 43.33%

To determine whether or not they have a certain disease, 80 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 10. The blood samples of the 10 people in each group will be pooled and analyzed together. If the test is negative. one test will suffice for the 10 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the disease); whereas, if the test is positive each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.
Assume the probability that a person has the disease is 0.09 for all people, independently of each other.

Compute the expected number of tests necessary for each group.
Expected number for each group:

Answers

i don’t know the answer ! i’m so sorry

Draw a pair of perpendicular lines

Answers

Answer:

+

perpendicular lines are lines that meet at a 90 degree angle

Step-by-step explanation:

HURRYYYYY 100 POINTS The movie theater has 25 1/2 cups of popcorn. There are 15 people who ordered popcorn. Each person who ordered popcorn will receive the same amount. How much popcorn will each person get?

Answers

Answer:

1.7

Step-by-step explanation:

25.5 divided by 15

You would divide 25.5 (popcorn) by 15 (people)= 1.7, so each person will get 1.7th of the popcorn

2x-7/2 = x+3/3 please help me

Answers

Answer:

x=4.5

Step-by-step explanation:

2x− 7/2 =x+1

2x− 7/2- x=1

x-7/2=1

x= 1+7/2

x=2/2+7/2

x= 2+7 is numerator and 2 is the denominator

x= 9/2

9/2 = 4.5

What is the range? 6 7 8 7 10​

Answers

Range= 4

Range is the highest number minus the lowest number, 10-6=4

Step-by-step explanation:

Range -6

Range is a higherd number

10-4=6

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

For x=2

[tex]- 10(2) + y = 4[/tex]

[tex] - 20 + y = 4[/tex]

[tex]y = 24[/tex]

For x=1

[tex] - 10( 1) + y = 4[/tex]

[tex] - 10 + y = 4[/tex]

[tex]y = 14[/tex]

For x=0

[tex] - 10(0) + y = 4[/tex]

[tex]0 + y = 4[/tex]

[tex]y = 4[/tex]

For x=-1

[tex] - 10( - 1) + y = 4[/tex]

[tex]10 + y = 4[/tex]

[tex]y = - 6[/tex]

For x=2

[tex] - 10( - 2) + y = 4[/tex]

[tex]20 + y = 4[/tex]

[tex]y = - 16[/tex]

Answer:

-2 = -16

-1 = -6

0 = 4

1 = 6

2 = 16

Step-by-step explanation:

8. Rita looks at the floor plan of a room that was drawn with scale factor 1 inch equals 4 feet. She multiplied the perimeter of the drawing by four and ordered that many feet of molding. She multiplied the area of the drawing by four and ordered that many square feet of carpeting. When the orders arrived, Rita had enough molding, but the carpet covered only of the room. Explain the error.

Answers

Pain au chocolat 15 point rooom

The area enclosed by the graphs of y = 1/x, y = 1, and x = 3 is rotated about the line y = -1. Find the volume and show steps.

Answers

Answer:

9.852

Step-by-step explanation:

First, Graph all three functions and find where they intersect and the shape that they make through their intersection. Note that since the shape does not touch the y= -1 line, we will use the "washer" method (where the volume equals  [tex]\pi\int\limits^a_b {R(x)\x^{2} - r(x)^{2} } \, dx[/tex].

The next step is to find a and b. Since the function that the area is going to be rotated about is a " y =" equations, the boundaries will be the x coordinates where the three functions intersect, b=1 for (1,1) and a=3 for (3,1).

Next we have to find R(x) and r(x). In this case, R(x) is the difference between the function furthest away from the axis of rotation and the function of the axis of rotation (or visa versa depending on which is on top), and r(x) is the difference between the function closest to the axis of rotation and the function of the axis of rotation (or visa versa depending on which is on top.

For this problem R(x) = 1 - (-1) and r(x) = 1/x - (-1) since when you look at the graph, Y = 1  is further from y = -1 than y = 1/x is, and both functions are on top of y = -1.

Finally plug in R(x) and r(x) and solve either using a calculator or through integration. If you solve through integration you should get [tex]\pi (-2ln(3) + \frac{16}{3} )[/tex].

A pair of flip flops cost $30. How much will they cost after a 20% discount and 6.5% tax?

Answers

Answer: 22.44$

Step-by-step explanation:

1. 30 x 0.20 = 6

2. 30 - 6 = 24

3. 24 x 0.065 = 1.56

24 - 1.56 = 22.44$

Are these two triangles congruent?
A) SSS
B) SAS
C) Not Congruent
D) Other

I’ve tried different answers. Can someone please tell me what I’m missing? Thanks in advance.

Answers

Answer:

The angles are not congruent

Step-by-step explanation:

This is because the two triangles show angle angle angle and that does not prove triangle congruency.

Name:
24. Jason wants to walk the shortest distance to get from the parking lot to the beach.
Refreshment
Stand
40 m
Beach
30 m
Parking
Lot

Answers

Answer:

Beach parking lot is the right answer.

Step-by-step explanation:

the beach parking is near the beach refreshment stand.

pls mark branliest.

Ali wants to surprise his wife Sara by presenting her some flowers, when he returns back from a work tour. He plans to spend exactly $24 on a bunch of exactly two dozen flowers. Sara loves lilies, roses and daisies. At the flower market they are selling lilies for $3 each, roses for $2 each, and daisies $0.50 each. How many flowers of each type can Ali buy?

Answers

Answer:

he can buy 8 of lilies and 12 of rose and 48 of daisies

Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.

Suppose Ali buys x flowers of lilies, y flowers of roses, and z flowers of daisies.

According to the question

x+y+z = 24......(1)

3x+2y+0.5z = 24.......(2)

Here, we have three variables but only two equations.

2(2)-(1) gives, 5x+3y = 24......(3)

Since, x, y and z can take only integer values.

What are integers?

Numbers that are not fractions called integers.

So, from (3) only x=3 and y=3 is possible

So, z= 24-x-y

z=24-3-3 = 18

So, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.

Therefore, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.

To get more about linear equations visit:

https://brainly.com/question/14323743

Answer for brainliest
25 X 1 =

;)

Answers

The answer is 25. :))))

The answer is 25

25x1 is 25

anything multiplied by 1 Is itself

250 lottery tickets were sold and there are 5 prizes on these ticket if Kunal has purchased one lottery ticket what is the probability that he wins a prize​

Answers

Total number of tickets sold = 250

Number of prizes = 5

Number of favorable outcomes = 5

[tex]P(A)= \frac{no. of possible outcomes}{No. of total outcomes} [/tex]

[tex]P (getting \: a \: prize) = \frac{5}{250} =\frac{1}{150}[/tex]

hi! i need help finding the area of this shape! thank you

Answers

Answer: 7.5

Step-by-step explanation:

5x3 = 15 A = 1 half L x H

A = (3)(5)

A = 15

A =  15 x 1 half = 7.5

correct me if i am wrong.

pls solve this ,urgent no spam​

Answers

Answer:

Question 3

Given expression:

[tex]\sf \left(\dfrac{-8}{9} \times \dfrac{1}{-5}\right)+\left(\dfrac{-8}{9} \times \dfrac{-7}{11}\right)[/tex]

Both parentheses share a common term.

To factor out a common term: ab + ac = a(b + c)

[tex]\textsf{Factor out the common term }\dfrac{-8}{9}[/tex]

[tex]\sf \implies\dfrac{-8}{9} \times \left(\dfrac{1}{-5}+\dfrac{-7}{11}\right)[/tex]

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

Question 4

To calculate the amount of money Rajni had to begin with, sum the three amounts she spent:

[tex]\sf \implies total=10\frac14+25\frac34+16\frac12[/tex]

As [tex]\sf a\frac{b}{c}=a+\frac{b}{c}[/tex], then:

[tex]\sf \implies 10+\frac14+25+\frac34+16+\frac12[/tex]

Collect and sum the whole numbers:

[tex]\sf \implies (10+25+16)+\frac14+\frac34+\frac12[/tex]

[tex]\sf \implies 51+\frac14+\frac34+\frac12[/tex]

As  [tex]\sf \frac14+\frac34=\frac44=1[/tex], then

[tex]\sf \implies 51+1+\frac12[/tex]

[tex]\sf \implies 52+\frac12[/tex]

[tex]\sf \implies 52\frac12[/tex]

Roberto's science grade is calculated using a weighted average. Quizzes are worth 25%, homework is worth 10%, unit tests are worth 30%, and labs are worth 35%.

Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit tests, and 94% on his labs.


What is Roberto's final science grade?


93.3%

93.9%

94.8%

95.3%

Answers

Answer: the answer is 93.9

I hope this helps

Step-by-step explanation:

i know it its on k12

Answer:

93.9

Step-by-step explanation: I took the k12 test

(150 Points If Ur right.) Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side RS. (ROUND PLEASE.)

Answers

Answer: 39.7

Step-by-step explanation:18/55 = 13/x you can get x by solving for it.

1. Whats the answer for this X + 2x + 8 = X = 10 + 6

2. Whats the answer for this X + 3 + 2x = X + 10 + 3

3. Whats the answer for this 5x + 2 = 2x + 10 + 4

4. Whats the answer for this 2x + X + 4 = 4x + 1

Answers

Answer:

The first one is 11x=16, the second one is 4x=16, and the next one is 7x=12, and the last one is 3=1x hope this helps

Step-by-step explanation:

1. X = 4
2. X = 5
3. X = 4
4. X =3

What the value of q?

Answers

Step-by-step explanation:

again ?

out of the total of 70°, 30° are taken by the first angle.

so, that leaves 70 - 30 = 40° for the second angle.

q = 40°

is there still something unclear about this ? please let me know.

oshua wants to buy a flat-screen TV that costs $625. He saves $62.50 each week to buy the TV. In how many weeks will he have enough money to make his purchase?

Answers

Answer:

ten weeks

Step-by-step explanation:

62.50 multiped by 10 moves the decimal over 1 to the right which makes it 625 :)


Describe how
(2^3)(2^-4)
can be simplified.

Answers

Answer:

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Step-by-step explanation:

your welcome

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

If 12%of X is 306, what is X equivalent to?

Answers

Answer:

X = 2550

Step-by-step explanation:

Convert 12% to a decimal:

⇒ 12% = 12/100 = 0.12

   12% of X is 306

⇒ 0.12X = 306

⇒ X = 306 ÷ 0.12

⇒ X = 2550

Answer:

2550

Step-by-step explanation:

Given expression: 12% of x is 306

We can make the following points of the expression:

    1. The word "of" means multiplication (×).

⇒ 12% × x is 306

    2. The percent is always divided by 100 in fraction.

⇒ 12/100 × x is 306

    3. The word "is" means equal or equivalent.

⇒ 12/100 × x = 306

Now, let's simplify the expression.

⇒ 12x/100 = 306

⇒ 12x = 306 × 100

⇒ 12x/12 = 306 × 100/12

x = 51 × 50 = 2550

Jake is tiling his bathroom floor. He uses three green tiles for every white tile. Jake uses twenty four tiles in total. How many of them are green? ​

Answers

Answer: I think the answer is 18

3 friends share 6 pounds of grapes equally. Each pound has 40 grapes.
How many grapes does each friend get?

A.
20 grapes

B.
60 grapes

C.
80 grapes

D.
90 grapes

Answers

Answer:

C. 80 grapes

Step-by-step explanation:

6 / 3 = 2

Each person gets 2 pounds of grapes.

2 X 40 = 80

1 pound = 40 grapes

2 pound = 80 grapes

Elise had 1/4 of an apple pie. She gave 1/4 of what she had to her friend Danny. What fraction of the whole pie did Danny get?

Answers

Danny had 1/4 of the pie

The answer to your question is =

Danny got 1/16 of the whole pie

a dentist's office and parking lot are on a rectangular piece of land. The area (in square meters) of the land is represented by x^2 + x = 30
a. write a binomial that represents the width of the land
b. find the area of the land when the length of the dentists' office is 20 meters

Answers

The answer is like b that what I got

Find the surface area of the cube.

Answers

Given:-

[tex]\rightarrow[/tex] Side(a) of the cube = [tex]\sf{\frac{1}{3}ft}[/tex].

To Find:-

[tex]\rightarrow[/tex] Surface Area of the cube with side [tex]\sf{\frac{1}{3}ft.}[/tex]

Formula Used:-

[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex]

Solution:-

[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex] (putting the value of a from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=\:6×(\frac{1}{3})^2}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:6×\frac{1}{9}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{6}{9}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]

Therefore, surface area of the given square = [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]

__________________________________

Hope it helps you:)

Answer:

Step-by-step explanation:

there are 6 square faces of a cube.

if side=x

surface area=6x²

=6(1/3)²

=6/9

=2/3 square foot

f(x)=−2x+3; Domain: {−1,0,2}

Find the range of the function for the given domain.

Answers

Answer:

Range: 1,3,7

Step-by-step explanation:

(-1,1),(0,3),(2,7)

2(-1)+3

2(0)+3

2(2)+3

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