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? (5 points)

A. Step 2; 6x − 6 = 2(6 + x + 2)
B. Step 2; 6x − 8 = 12 + 2x
C. Step 3; 5x − 2x = 12 − 6
D. Step 3; 5x + 2x = 12 + 6

Answers

Answer 1

Answer:

B. Step 2; 6x - 8 = 12x + 2x

Step-by-step explanation:

Answer 2

Option B is correct, the student first make an error in step 2 and the correct step is  6x − 8 = 12 + 2x.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 2(3x − 4) = 8 + 2x + 4

Two times of three x minus four equal to eight plus two times of x plus four.

The work of student

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

The student made a error in step 2.

After applying to the distributive property to the equation

6x-8=8+2x+4

The correct step is 6x-8=2x+12

Hence, Option B is correct, the student first make an error in step 2 and the correct step is  6x − 8 = 12 + 2x.

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Related Questions

is 1/2 and 4/9 proportional

Answers

Answer:

No

Step-by-step explanation: If right press thanks and rate 5/5 plz

Answer:

Not proportional.

Step-by-step explanation:

To find out if the fractions are proportional, you have to cross multiply each fraction to see if each number multiplied is the same.  2 * 4 = 8 and 1 * 9 = 9.  The numbers are not the same here so it is not proportional.

Which pairs of numbers are relatively prime? Check all
that apply.
O 9 and 15
O 9 and 40
O 9 and 21
O 15 and 21
o 21 and 40
Answer: b and e

Answers

Answer:

B and E are indeed correct

QUICK GIVING AWAY BRAINLIESt

Answers

-4

Hope this helps!!! :DDD

Answer:

the answer is -16

Step-by-step explanation:

if you have the problem -10 + 6 then the answer will be -16 because -10 is bigger than 6 and six is a positive number and since -10 is bigger than you would have to go with negative

Need help with this please?

Answers

hope this hwelps! (OwO)

need help asap please

Answers

Answer:

[tex]\displaystyle yes[/tex]

Step-by-step explanation:

By the way Angle-Angle-Side Triangle Postulate, this would be enough information as proof of using the Angle Bisectour Theorem.

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Determine whether formulas u and v are logically equivalent (you may use truth tables or
properties of logical equivalences).
(a) u : (p ⇒ q) ∧ (p ⇒ q) v : p
(b) u : p ⇒ q v : q ⇒ p
(c) u : p ⇔ q v : q ⇔ p
(d) u : (p ⇒ q) ⇒ r v : p ⇒ (q ⇒ r)

Answers

D I did this to once u get it it’s so easy ;)

HELP PLEASE.........................

Answers

Answer:

54% = 27/50

72% = 18/25

97% = 97/100

If 3 oranges cost $1.75, how much would 18 oranges cost?

Answers

Answer:

31.5 i think

Step-by-step explanation:i used multi if its wrong im so sorry

Answer:

10.50$

Step-by-step explanation:

if you divide the cost of 3 oranges by 1 orange you get one oranges price then multiply it by 18.

Express the area of the entire rectangle. Your answer should be a polynomial in standard form

Answers

Answer:

[tex]Area = x^2 +11x + 24[/tex]

Step-by-step explanation:

Given

From the attachment, we have:

[tex]Length = x + 8[/tex]

[tex]Width = x + 3[/tex]

Required

Determine the area

Area is calculated as:

[tex]Area = Length * Width[/tex]

[tex]Area = (x+8)*(x+3)[/tex]

Open brackets

[tex]Area = x(x+3)+8(x+3)[/tex]

[tex]Area = x^2 +3x + 8x + 24[/tex]

[tex]Area = x^2 +11x + 24[/tex]

The table shows the temperature (y) at different altitudes (x). This is a linear relationship. Find the y-intercept for this relationship.

Answers

Answer:

b = 79

Step-by-step explanation:

The y-intercept is the point at which x is 0. Looking at the data table, when x is 0, y is 79.

The degree of the polynomial function f(x) is 3.
The roots of the equation f(x) = 0 are - 1,0, and 4
Which graph could be the graph of f(x)?

Answers

Answer: Top right corner

This graph shows a curve going through x = -1, x = 0 and x = 4 on the x axis. These are the three roots or x intercepts.

The graph in the bottom right has a root of x = -4, but that's not one of the listed roots in the instructions. So we rule this graph out.

The other two graphs only have two roots, and not three, so we rule them out as well.

Step-by-step explanation:

If the degree of a polynomial function is an odd number, the ends of the graph will go in opposite directions. (one going up and one going down)

The graph must pass the x-axis at the points -1, 0, 4.

Only the top-right graph satisfies our conditions.

when a metallic ball bearing is placed inside a cylindrical container of radius 2 cm the height of the water inside the container increased by 0.6 CM the radius is it to the nearest teeth of the centre of the ball bearing is​

Answers

Answer: do 2 x 0.6

Step-by-step explanation:

there y go

6-2 kites and trapezoids

Answers

6-2= 4 was that the question???

3 .912+s=5.313 evaluate

Answers

Answer:

s= 1.401

Step-by-step explanation:

subtract 5.313 from 3.912 :D

The evaluation of the equation 3 .912+s=5.313 yields; s = 1.401

Evaluation of one variable equation

According to the questions;

We are required to evaluate the equation; 3 .912+s=5.313

Hence, we must subtract 3.912 from both sides of the equation as follows;

3 .912+s -3.912 = 5.313 - 3.912.

s = 1.401

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Help plz:)))I’ll mark u Brainliest

Answers

The correct answer is 10 cm

Answer:

[tex]ST=11.2\:\mathrm{m}[/tex]

Step-by-step explanation:

Since [tex]\angle T[/tex] corresponds with [tex]\angle Q[/tex], we need to find the measure of [tex]\angle Q[/tex] to set up a proportion.

In [tex]\triangle PQR[/tex], two sides and the angle between them are given, so we can use the Law of Cosines to find the third side.

The Law of Cosines is given as:

[tex]c^2=a^2+b^2-2ab\cos C[/tex]

Plugging in values, we get:

[tex]c^2=8^2+7^2-2\cdot8\cdot 7\cdot \cos 59^{\circ},\\c\approx 7.44[/tex].

Now we can use the Law of Sines to find [tex]m\angle Q[/tex]:

[tex]\frac{\sin59^{\circ}}{7.44}=\frac{\sin Q}{7},\\Q=\arcsin( \frac{7\cdot \sin 59^{\circ}}{7.44})\approx 53.75^{\circ}[/tex].

Using this, we can set up the following proportion to solve for [tex]ST[/tex]:

[tex]\frac{53.75}{75}=\frac{8}{ST},\\53.75\cdot ST=8\cdot 75,\\ST=\frac{8\cdot 75}{53.75}\approx \fbox{$11.2\:\mathrm{m}$}[/tex].

Make yourself a list of all the life skills that improvisation might help you.
*I need help fast, I need 20 answers.*​

Answers

Answer:day in and day out truly improves our focus, listening skills and humor skills. ... in every day life–what is your motivation for doing whatever it is you are doing? ... a big show, I make sure I remind myself that improv is fun–that's why I do it. ..

Step-by-step explanation:

The tape diagram represents the ratio of your monthly allowance to your friend's monthly allowance. The monthly allowances total $90. How much is each allowance?

you [][][][][]
friend[][][][]

Answers

Hope this helps! Have a good day

Your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 5+4=9

Now, your monthly allowance = 5/9 × 90

= 50

So, your friend's monthly allowance = 90-50 = 40

Therefore, your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

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What percent of the large square is shaded?

Answers

Answer:

48%

Step-by-step explanation:

a little less than half is shaded

The percent of the shaded square will be 48%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A large square is shown in figure.

Now,

In a figure,

The number of small squares = 100

And, Number of shaded squares = 48

Hence, The percent of shaded square = 48/100 × 100

                                                           = 48%

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The ratio of tea drinkers to soda drinkers at a university is 7:4. There are 38 soda drinkers. How many tea drinkers are there?

Show the correct work. Set- up the proportion. Show the correct answer.

Answers

Working: Since the ratio is 7 tea drinkers to 4 tea drinkers. We could just do 38/4 which gives us 9.5. Using that value we just go 9.5 x 7. This would give us 66.5 but there cannot be half a person so we must round down unless the question does not require us to do so.

Answer: 66.5/66

Which method can be used to solve 11\times13?11×13?

Answers

Multiplication
But when multiplying a number by 11, you add both digits together and place it in between the numbers 1+3=4
11x13=143

The method that would be used to solve 11\times 13 is Multiplication So it would be: 11 x 13 which would equal to 143.

In math times means: Multiplication.

HELPPPPP!!!
Will give brainliest
For which pair of points can you use this number line to find the distance?
4
2 3
5 6
-2 -1 0 1
7 8
(-4, 1) and (7,4)
(-4, 1) and (-4,7)
(-1, 4) and (4,7)
O (-4, -1) and (-4,-7)

Answers

Answer:

[tex](-4, 1) \: and \: (-4,7)[/tex]

Step-by-step explanation:

[tex]the \: shortest \: distance \: between \: two \: points \: can \: be \: used \: here \to \\ were : d = \sqrt{ (x_{2} -x_{1} ) {}^{2} + (y_{2} -y_{1} ) {}^{2} } \\checking \: for \: the \: pair \to \: (-4, 1) \: and \: (-4,7) \\ d = \sqrt{ (( - 4)-( - 4)) {}^{2} + (7 -1 ) {}^{2} } \\ d = \sqrt{ (- 4 + 4) {}^{2} + (6) {}^{2} } \\ d = \sqrt{ (0) {}^{2} + (6) {}^{2} } \\ d = \sqrt{ (6) {}^{2} } \\ \underline{ \boxed{d = 6}}[/tex]

f (x)= 4(2)
f
Find a

Answers

Answer:

Step-by-step explanation:

x  

4

−4x  

2

+1

FACTOR

(x  

2

−(2−  

3

​  

))(x  

2

−(  

3

​  

+2))

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

(1.5,1)

Step-by-step explanation:

1.5,1 should be correct

Pls helpppppppp it’s due in an hour

Answers

Answer:

i think A, B, and E

im sorry if im wrong

Step-by-step explanation:

A scale drawing for a backyard is shown below.
In the drawing, 2 cm represents 5 m.
Assuming the patio is rectangular, find the area of the real patio.

Answers

Answer:

50 m²

Step-by-step explanation:

2 cm for length = 5 m. 4 cm for width = 10 m. Area = width • length. 10•5=50

For f(x) = 3x +1 and g(x) = x2 - 6, find (f•g)(x).
O A. 3x3 + x2 -18x - 6
O B. 3x2-17
O C. 4x2 - 6x -8
O D. 3x3 + x2 - 6x - 6

Answers

Answer:

B

Step-by-step explanation:

3(x² - 6) + 1

3x² - 18 + 1

3x² - 17

What is the value of x in the equation x - y = 30, when y = 15?
4
8
80
200

Answers

Answer:

x = 45

Step-by-step explanation:

1. Replace y with 15

    x - 15 = 30

2. Add 15 to both sides

   x - 15 + 15 = 30 + 15

3. Combine like terms

   x = 45

Help please I will Brainly

Answers

Answer:

we have the same computer

Step-by-step explanation:

Answer:

[tex]114\:\mathrm{yd^2}[/tex]

Step-by-step explanation:

The composite shape consist of two rectangles. We can find the area of these two rectangles and add them to get our answer:

[tex]10\cdot9+6\cdot 4= 90+24=\fbox{$114\:\mathrm{yd^2}$}[/tex].

need help asap please

Answers

Answer:

[tex]\displaystyle 31[/tex]

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]

I am joyous to assist you at any time.

You buy 4 Chicken Burritos that each cost the same amount and a Coca Cola all
for $21.00. You know the Coca Cola costs $2.00. How much does each Burrito
cost?

Answers

Answer: $9.50

Step-by-step explanation: $21-2=$19; $19÷2=$9.50

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