The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:

Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6

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

A). Step 2; 8x − 4 = 2(6 + x + 6)

B). Step 2; 8x − 16 = 16 + 2x

C). Step 3; 6x − 2x = 16 − 8

D). Step 3; 6x + 2x = 16 + 8

Answers

Answer 1

Answer:

B

Step-by-step explanation:

He added 4 to 2 instead of multiplying.


Related Questions

What is the square of the sum of five and a number diminished by 6?

Answers

Step-by-step explanation:

A number diminished by 6:

n - 6

Sum of 5 and a number diminished by 6:

5 + n - 6 = n - 1

The square of the sum of five and a number diminished by 6:

(n - 1)² =n² - 2n + 1

Given that I = PTR/ 100 , make T the subject of the formula.​

Answers

Step-by-step explanation:

I=PTR/100

cross multiply to get 100I= PTR

Put 100I/PR and PTR/PR

HENCE u get 100I/PR=T

THIS is because the PR cancelled from PRT to remain with T

Find the x - and y -intercepts of the graph of the linear equation -4x+8y=-16 .

Answers

Answer:

x: (4, 0)y: (0, -2)

Step-by-step explanation:

To find the x-intercept, set y=0 and solve for x. That will mean dividing by the coefficient of x:

  -4x +0 = -16

  x = -16/-4 = 4 . . . . the x-intercept

__

To find the y-intercept, set x=0 and solve for y. That will mean dividing by the coefficient of y:

  0 +8y = -16

  y = -16/8 = -2 . . . . the y-intercept

__

The x- and y-intercepts are (4, 0) and (0, -2), respectively.

_____

Additional comment

The standard form equation of a line, ax+by=c, is especially nice for finding the intercepts, as they are always (c/a, 0) and (0, c/b). Once you see this, you can do a question like this in your head.

i will mark brainliest!!!!!!

Answers

Answer:

k=10x+6

Step-by-step explanation:

64 is equal to 2^6, so we just have 2^6*4^5k

4^5x is equal to 2^10x and we have 2^6*2^10x=2^k

Apply exponent multiplication rule : a^m*a^n=a^m+n

We get 2^10x+6, so 10x+6 is our answer

The answer is k= 10x+6

HELP AWARDING BRAINLIEST

Answers

Answer:

Either 2.34 or 2.345

Step-by-step explanation:

Identify the slope (m) and y-intercept (b) for 3x + 4y = 9.

Answers

Answer:

slope= -¾

[tex]y - intercept = 2 \frac{1}{4} [/tex]

Step-by-step explanation:

3x +4y= 9

Let's rewrite the equation into the form of y= mx +b (known as slope-intercept form), where m is the slope and b is the y-intercept.

Keep the y term on the left-hand side of the equation and move all the other terms to the right-hand side.

4y= -3x +9

For the coefficient of y to be 1, divide both sides of the equation by 4.

[tex]y = - \frac{3}{4} x + \frac{9}{4} [/tex]

[tex]y = - \frac{3}{4} x + 2 \frac{1}{4} [/tex]

[tex]slope = - \frac{3}{4} [/tex]

[tex]y - intercept = 2 \frac{1}{4} [/tex]


The marked price of a woolen sweater is Rs 1750
. If the shopkeeper allows 20 %
discount and makes a profit of Rs 150, at what price did he purchase the sweater?

Answers

Is levied after allowing 12 % discount on it?
The marked price of a woolen sweater is Rs 1,750. If the shopkeeper allows 20 %
discount and makes a profit of Rs 150, at what price did he purchase the sweater?
The marked price of a calculator is Rs 1,800. The shopkeeper allows 10 %
b)
17​


Sketch the graph of each line by identifying the x-and y-intercepts.

Answers

Straight line at y=5
And goes all the way from -inf to +inf of the x-axis and doesn’t intersect with x-axis

what is the answer???????​

Answers

Answer:

1) 1(1/32)

2) 1.8

Step-by-step explanation:

2(3/4)=11/4

2(2/3)= 8/3

(11/4)/(8/3)=33/32

33/32= 1(1/32)

1(4/5)=9/5

9/5=1.8

Tim earns spending money by doing odd jobs for his neighbors. The table shows how much he is paid
for each job. Tim gets $12 for mowing lawns, $9 for washing cars, and $7 for walking dogs. Mr. Jeffries has not paid his bill in 3 weeks. If Tim performed each job for Mr. Jeffries
once, how much does Mr. Jeffries owe Tim? Write an addition equation using integers to represent the
situation. Represent Mr. Jeffries' balance as an integer.
Select the correct choice below and fill in the answer boxes to complete your choice.

Answers

Answer:

D ($28)

Step-by-step explanation:

-12 + -9 + -7 = -28

the difference of the square of two consecutive numbers is 19. If one number is 10, what is the other number?

a)12 . b)11 . c)9 . d)8.

If you can answer correctly and explain properly the methods.
I try to mark it as the brainiest.

Answers

Answer:

c

Step-by-step explanation:

10^2 - 9^2 = 100 - 81 = 19

Gurl/boi/human I don’t think this is worth 50 or 100 points(kinda new donno how it works)
Not gonna answer it tho someone already did

dont know the answer pls help :(

Answers

Answer:

x=3

Step-by-step explanation:

7x-3=18

7x=18+3

7x=21

x=3

216+5( 8+1/5) Please i need it asap ty!

Answers

216+5X41/5
216+41
257
Please brainlyest

Answer:

257

Step-by-step explanation:

216 + (5 x(8 + 1/5)

TRUE OR FALSE , When you divide the numerator of a fraction by the denominator you always get a terminating decimal?

Answers

Answer: false.

Step-by-step explanation:

it's only a terminating decimal if you end up with a remainder of 0.

Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?

Answers

Answer:

Step-by-step explanation:

First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:

[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]

Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.

[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]

HOPE THIS HELPS :D

The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.

We know that if two angles of any triangle are the same then their opposite sides are also the same.

Let each side length of x ft. Then by the Pythagoras theorem. we have

[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

WILL GIVE BRAINLEST!!! A rational expression has been simplified below
(x-2)(x+6) X-2
7(x+6)
*=2
For what values of xare the two expressions equal?

Answers

Answer:

You're answer is B. All answers except -6

Step-by-step explanation:

did the test

what is 4x(1+8x) Distributed

Answers

Answer:

4x + 32x²

Step-by-step explanation:

4x(1 + 8x) ← multiply each term in the parenthesis by 4x

= 4x + 32x²

A recipe calls for 1/2 cup sugar and 1 cup flour. How much flour will you need if you use 3/4 cup of sugar?

Answers

Answer:

1 1/2 cups

Step-by-step explanation:

3/4 is 1 1/2 of 1/2, and 1 1/2 is 1/2 of 1

Answer:

1.5 cups of sugar

Step-by-step explanation:

3/4 divided by 1/2 is 1.5

How do I factor . X2 { squared } -9x+28?

Answers

it is not factorable

38
21
21
X
What is the value of X

Answers

Answer:

80

Step-by-step explanation:

honestly it depends on the question but if it's addition, this is the answer

Whats the value of 6 in 1.267

Answers

Answer:

hundredths place

Step-by-step explanation:

Hundreds place, easy

Please help this is my last points
Answer with explanation please
Please I need it now

Answers

Answer:

im going to guess cause i barely see 120

Step-by-step explanation:

Answer:

Three sets of supplementary angles

1 & 4 = 180º

2 & 5 = 180º

3 & 6 = 180º

Total = 540º

Sum of angles in triangle = 180º

Therefor sum of exteriort angles

540 - 180 = 360º

Please 10 points for one question
Please don’t answer if you don’t know

Answers

Answer:

answer is 60° hope it will help you

x³+2x²-15x, x²-7x+12 and 3x²-27 find h.c.f​

Answers

Answer:

[tex] {x}^{3} + 2 {x}^{2} - 15x \\ x( {x}^{2} + 2x - 15) \\ x( {x}^{2} + 5x - 3x - 15) \\ x(x(x + 5) - 3(x + 5) \\ x((x + 5)(x - 3)) \\ {x}^{2} -7x + - 12 \\ {x}^{2} - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ 3 {x}^{2} - 27 \\ 3( {x}^{2} - 9) \\ 3((x + 3)(x - 3)) \\ \\ the \: hcf \: = (x + 3)[/tex]

someone help me pls
i need it now
just simply choose the letter of the correct answer​

Answers

Answer:

Step-by-step explanation:

1. D

2. A

3. A

4. B

5. B

dont know the rest sorry

A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?

Answers

Answer:

percentage change divided by real value, *100.

421-376 = 45

45/421 = approx. 0.10688361

*100 = 10.6%

Step-by-step explanation:

18 ounces. of iced tea costs 2.99. How much will 30 ounces. cost

Answers

Answer:

About $4.98

Step-by-step explanation:

The cost of 30 ounces of iced tea will be $4.98.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

18 ounces. of iced tea costs 2.99. Then the ratio of cost to weight is calculated as,

⇒ $2.99 / 18

⇒ $0.166 per ounce

Then the cost of 30 will be calculated as,

⇒ $0.166 x 30

⇒ $4.98

The cost of 30 ounces of iced tea will be $4.98.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ5

Please help me with this homework

Answers

Answer:

C.

Step-by-step explanation:

Open circles mean < > not ≤ ≥. and the direction the line goes determines which symbol is used. the line goes up from -2 so its greater than -2 and down from 5 so less than 5

One year, the population of a city was 51,000. Several years later it was 61,200. Find
the percent increase


What is the percent increase

Answers

Answer:

20%

Step-by-step explanation:

(61200-51000)/51000×100

(102000/51000)×100

0.2×100=20%

Hope that helped! :)

14
The points A, B and C lle on a straight line.
The length of AB is equal to the length of BC
What are the coordinates of point A?
*C(5,6)
*B12, 1)

Answers

Answer:

(-1,-4)

Step-by-step explanation:

First, you take the x coordinate of C and subtract it from the x coordinate of B. 5-2=3. You then take the 3 and subtract it from the x value of point B which is 2 and 2-3=-1 which gives us the x coordinate of point A -1. then you take the Y coordinate of C and subtract it from the Y coordinate of B. 6-1=5. You then take the 5 and subtract it from the y value of point B which is 1 and 1-5=-4 which gives us the y coordinate of point A -5. And that gives you (-1,-4)

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