30.06.2020

Please answer with steps
|3+5x|
=4
9

. 1

Step-by-step answer

09.07.2023, solved by verified expert
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9 Please answer with steps |3+5x| =4 9, №18010639, 30.06.2020 15:50

Step-by-step explanation:

Subtract 3 from both sides.5x = 46Divide by 5 on both sides.This will get you 9 Please answer with steps |3+5x| =4 9, №18010639, 30.06.2020 15:50

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

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Mathematics
Step-by-step answer
P Answered by Specialist

9 \frac{1}{5}

Step-by-step explanation:

Subtract 3 from both sides.5x = 46Divide by 5 on both sides.This will get you 9 \frac{1}{5}

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

My work was a bit shorter since I have answered several of your questions, and you should be able to try doing these types of problems on your own by now.

Mathematics
Step-by-step answer
P Answered by PhD

1. The correct option is 2.

2. The correct option is 2.

3. The correct option is 2.

Step-by-step explanation:

Part 1.

The given equation is

-x=2-3x+6

Add 3x on both sides.

-x+3x=2-3x+6+3x

Combine like terms.

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

2x=8

Divide both sides by 2.

\frac{2x}{2}=\frac{8}{2}

x=4

The value of x is 4. Therefore option 2 is correct.

Part 2.

The given equation is

2(3x-4) = 8 + 2x + 4

Step 1: 2(3x-4) = 8 + 2x + 4

Step 2: 6x-8 = 12 + 2x

Step 3: 6x-2x = 12 + 8

Step 4: 4x = 20

Step 5: x = 5

Student make his first mistake in step 2 and the correct step is 6x-8 = 12 + 2x. Therefore the correct option is 2.

Part 3.

The given equation is

4m-2m + 4 = -1 + 13

Step 1: 4m-2m + 4 = -1 + 13

Step 2: 4m-2m + 4 = 12

Step 3: 2m + 4 = 12

Step 4: Subtract 4 from both sides.

2m= 12-4

2m= 8

The next step is 2m= 8. Therefore the correct option is 2.

Mathematics
Step-by-step answer
P Answered by PhD
1. The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:

Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6

In which step did the student first make an error and what is the correct step?
answer

Step 2; 6x − 8 = 12 + 2x

2. The steps below show the incomplete solution to find the value of m for the equation 4m − 2m + 4 = −1 + 13:

Step 1: 4m − 2m + 4 = −1 + 13
Step 2: 4m − 2m + 4 = 12
Step 3: 2m + 4 = 12

Which of these is most likely the next step?
answer

2m = 8

3. How many solutions does the equation 4n + 6 = 4 + 2 + 4n have?
                                                                    4n + 6 = 4N +6

answer
Many
Mathematics
Step-by-step answer
P Answered by Specialist
Question 1:

–6 + x = –3

x = -3 + 6

x = 3

Hence, the answer is C.

Question 2:

–2a + 2a + 7 = 8 

7 ≠ 8

Hence, the answer is C.

Question 3:

2(2y – 16) = 0

4y - 32 = 0

4y = 0 + 32

4y = 32

y = \frac{32}{4}

y = 8

Hence, the answer is C.

Question 4:

5p – 4p – 8 = –2 + 3 

p - 8 = 1

p = 1 + 8

p = 8

Hence, the answer is A.

Question 5:

4n – 2n + 4 = –1 + 17

2n + 4 = 16

2n = 16 - 4

2n = 12

n = \frac{12}{2}

n = 6

Hence, the answer is A.

Question 6:

2(4z – 3 – 1) = 166 – 46

8z - 6 - 2 = 120

8z = 12 + 8

8z = 20

z = \frac{20}{8} =  \frac{10}{4} =  \frac{5}{2}

z = 2.5

Hence, I think the question is wrong; it is missing a variable.

Question 7:

–x = 3 – 4x + 6

-x + 4x = 3 + 6

3x = 9

x = \frac{9}{3}

x = 3

Hence, the answer is C.

Question 8:

4n + 6 = 4 + 2 + 4n 

4n - 4n + 6 = 6

6 = 6

Hence, the answer is C.

Question 9:

6y + 4 = 8 + 2y + 2y

6y - 4y = 8 - 4

2y = 4

y = \frac{4}{2}

y = 2

Hence, the answer is B.

Question 10:

3(2x – 4) = 8 + 2x + 6

6x - 12 = 14 + 2x

6x - 2x = 14 + 12

4x = 26

x = \frac{26}{4} =  \frac{13}{2}

x = 6.5

Hence, the answer is A.

Question 11:

z – z + 1 = z + 1

1 = z + 1

z = 1 - 1

z = 0

Hence, the answer is B.

Question 12:

3.6m – 2.7 = –1.8m

3.6m + 1.8m = 2.7

5.4m = 2.7

m = \frac{2.7}{5.4} =  \frac{1}{2}

m = 0.5

Hence, the answer is B.
Mathematics
Step-by-step answer
P Answered by Specialist
Question 1:

–6 + x = –3

x = -3 + 6

x = 3

Hence, the answer is C.

Question 2:

–2a + 2a + 7 = 8 

7 ≠ 8

Hence, the answer is C.

Question 3:

2(2y – 16) = 0

4y - 32 = 0

4y = 0 + 32

4y = 32

y = \frac{32}{4}

y = 8

Hence, the answer is C.

Question 4:

5p – 4p – 8 = –2 + 3 

p - 8 = 1

p = 1 + 8

p = 8

Hence, the answer is A.

Question 5:

4n – 2n + 4 = –1 + 17

2n + 4 = 16

2n = 16 - 4

2n = 12

n = \frac{12}{2}

n = 6

Hence, the answer is A.

Question 6:

2(4z – 3 – 1) = 166 – 46

8z - 6 - 2 = 120

8z = 12 + 8

8z = 20

z = \frac{20}{8} =  \frac{10}{4} =  \frac{5}{2}

z = 2.5

Hence, I think the question is wrong; it is missing a variable.

Question 7:

–x = 3 – 4x + 6

-x + 4x = 3 + 6

3x = 9

x = \frac{9}{3}

x = 3

Hence, the answer is C.

Question 8:

4n + 6 = 4 + 2 + 4n 

4n - 4n + 6 = 6

6 = 6

Hence, the answer is C.

Question 9:

6y + 4 = 8 + 2y + 2y

6y - 4y = 8 - 4

2y = 4

y = \frac{4}{2}

y = 2

Hence, the answer is B.

Question 10:

3(2x – 4) = 8 + 2x + 6

6x - 12 = 14 + 2x

6x - 2x = 14 + 12

4x = 26

x = \frac{26}{4} =  \frac{13}{2}

x = 6.5

Hence, the answer is A.

Question 11:

z – z + 1 = z + 1

1 = z + 1

z = 1 - 1

z = 0

Hence, the answer is B.

Question 12:

3.6m – 2.7 = –1.8m

3.6m + 1.8m = 2.7

5.4m = 2.7

m = \frac{2.7}{5.4} =  \frac{1}{2}

m = 0.5

Hence, the answer is B.
Mathematics
Step-by-step answer
P Answered by PhD

1. The correct option is 2.

2. The correct option is 2.

3. The correct option is 2.

Step-by-step explanation:

Part 1.

The given equation is

-x=2-3x+6

Add 3x on both sides.

-x+3x=2-3x+6+3x

Combine like terms.

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

2x=8

Divide both sides by 2.

\frac{2x}{2}=\frac{8}{2}

x=4

The value of x is 4. Therefore option 2 is correct.

Part 2.

The given equation is

2(3x-4) = 8 + 2x + 4

Step 1: 2(3x-4) = 8 + 2x + 4

Step 2: 6x-8 = 12 + 2x

Step 3: 6x-2x = 12 + 8

Step 4: 4x = 20

Step 5: x = 5

Student make his first mistake in step 2 and the correct step is 6x-8 = 12 + 2x. Therefore the correct option is 2.

Part 3.

The given equation is

4m-2m + 4 = -1 + 13

Step 1: 4m-2m + 4 = -1 + 13

Step 2: 4m-2m + 4 = 12

Step 3: 2m + 4 = 12

Step 4: Subtract 4 from both sides.

2m= 12-4

2m= 8

The next step is 2m= 8. Therefore the correct option is 2.

Mathematics
Step-by-step answer
P Answered by PhD
1. The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:

Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6

In which step did the student first make an error and what is the correct step?
answer

Step 2; 6x − 8 = 12 + 2x

2. The steps below show the incomplete solution to find the value of m for the equation 4m − 2m + 4 = −1 + 13:

Step 1: 4m − 2m + 4 = −1 + 13
Step 2: 4m − 2m + 4 = 12
Step 3: 2m + 4 = 12

Which of these is most likely the next step?
answer

2m = 8

3. How many solutions does the equation 4n + 6 = 4 + 2 + 4n have?
                                                                    4n + 6 = 4N +6

answer
Many

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