The work of a student trying to solve the equation 2(4x − 3) = 9 + 2x + 6 is shown below: Step 1: 2(4x − 3) = 9 + 2x + 6 Step 2: 8x − 3 = 15 + 2x Step 3: 8x − 2x = 15 + 3 Step 4: 6x = 18 Step 5: x = 3 In which step did the student first make an error and what is the correct step? (4 points) a Step 2: 8x − 3 = 15 + 2x b Step 2: 8x − 6 = 15 + 2x c Step 3: 8x + 2x = 15 + 2 d Step 3: 8x − 2x = 15 − 2

Answers

Answer 1

Answer:

Step-by-step explanation:

2(4x - 3) = 9 + 2x + 6               Combine the like terms on the right

2(4x - 3)  = 2x + 15                   The distributive property gets rid of the brackets

8x - 6 = 2x + 14                        Add 6 to both sides

     6              6

8x = 2x + 20                            Subtract 2x from both sides

-2x   -2x        

6x = 20

Step 2 is the error. It is a very common error. You multiply 2 and - 3 together. as well as 2 and 4 together. If you are going to forget something that will be it.


Related Questions

Find the value of x.

Answers

Answer:

x = 30°

Step-by-step explanation:

< A = 90° {Being vertically opposite angles }

Now

x + 90° + 2x = 180° (Being linear pair)

3x = 180° - 90°

3x = 90°

x = 90° / 3

x = 30°

Hope it will help :)❤

The quadratic function is given in both its standard and factored form below

Answers

x²+2x-15=(x+5)(x-3) there is nothing to factoriz

Help please, what's the interquartile range?​

Answers

The interquartile range is 6.

Q3-Q1=IQR
17-11=6

What is the length of a segment with endpoints (2, 5) and (10, 11) *

•5 units
•8 units
•10 units
•14 units

Answers

Answer: 14 Units

Step-by-step explanation: Subtract (10-2) and (11-5)

plz help
what´s [tex]\sqrt{100}[/tex]
THANK YOU!!

Answers

Answer:

10 is the answer of your question

Can one of you guys help me

Answers

It would be 12 because for every 8 carts we have 3 carts with 4 items. So if we add 24 to 8 we get 32 carts. We can set up a ratio of 3/8=x/32
We get 32*3/8x and that is 12

Describe the translation between the blue pre-image and the Maroon image.
(Multiple Choice In image)

Answers

Step-by-step explanation:

D.. all points on blue are translated 7 units downwards

The vertices of a triangle MNP are M(5,6) , N(0,3) , and P(4,-2). What is the coordinate of the midpoint of the line connecting the midpoints of sides MN and MP

Answers

Answer:

(3.5, 3.25)

Step-by-step explanation:

Given the vertices of a triangle MNP as M(5,6) , N(0,3) , and P(4,-2).

Midpoint of MP is expressed as;

M(5,6) and P(4,-2).

Xmp = (5+4)/2

Xmp = 9/2

Xmp = 4.5

Ymp = (6-2)/2

Ymp = 4/2

Ymp = 2

Hence the midpoint of MP is at (4.5, 2)

Similarly for MN

M(5,6) , N(0,3)

Xmn = 5+0/2

Xmn = 5/2

Xmn = 2.5

Ymn = 6+3/2

Ymn = 9/2

Ymn = 4.5

Hence the midpoint of MN is (2.5, 4.5)

The coordinate of the midpoint of the line connecting the midpoints of sides MN and MP will be expressed as;

MN(2.5, 4.5) and  MP (4.5, 2)

M = {(2.5+4.5/2, 4.5+2/2)}

M = (7/2, 6.5/2)

M = (3.5, 3.25)

Hence the required midpoint coordinate is (3.5, 3.25)

Amelia has 3 gallons of paint .Mason have 10 quarts .How many more pints of paint does AMELIA have then mason.

Answers

Answer:

4 Pints

Step-by-step explanation:

According to the scenario, calculations are as follows,

As we know, 1 gallon = 8 Pints

1 Quarts = 2 Pints

So, Amelia = 3 Gallons = 3 × 8 Pints = 24 Pints

Mason = 10 quarts = 10 × 2 Pints = 20 Pints

So, Number of more pints Amelia has = Amelia number of pints - Mason number of pints

= 24 pints - 20 pints

= 4 Pints  

Show all of your work. Simplify the expression: - 3a + 7 + 5a​

Answers

Answer:

2a + 7

Step-by-step explanation:

-3a + 7 +5a

subtract the negative 3 from the 5

2a + 7

Answer: it would be 2a+7

Step-by-step explanation: Hope this help :D

4(x+2)=4x+8 need help

Answers

Answer:

True

Step-by-step explanation:

Any value of x makes the equation true

All Real numbers

(-∞)(∞)

yolandas mother was born in 1975 how old is her mother ?

Answers

45 OR 46

It depends on which month and day she is born on in 1975.

If you want it from todays current date, she would be 46.

If her birthday is the 11 / 04 / 1975 (eleventh of April) -  31 / 12 / 1975 (thirty-first of December) then she is 45 years old. If her birthday has already passed in 2021 she is 46.

Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.15%. They
have 500 grams of substance B which decays at a rate of 0.37%. They are trying to determine how many years it will be before the substances
have an equal mass.
If Mrepresents the mass of the substance and trepresents the elapsed time in years, then which of the following systems of equations can be
used to determine how long it will be before the substances have an equal mass?

Answers

Answer:

231.59 years

Step-by-step explanation:

To model this situation we are going to use the exponential decay function:

f(t)= a (1-b)^t

where f(t) is the final amount remaining after t years of decay

a is the final amount

b is the decay rate in decimal form

t is the time in years

For Substance A:

Since  we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r = 0.15/100 = 0.0015. Replacing the values in our function:

f(t) = a (1-b)^t

f(t) = 300 (1-0.0015)^t

f(t) = 300 (0.9985)^t equation (1)

For Substance B:

Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r=0.37/100= 0.0037. Replacing the values in our function:

f(t) = a (1-b)^t

f(t)= 500 (1-0.0037)^t

f(t)=500(0.9963)^t equation (2)

Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:

M=300(0.9985)^t equation (1)

M=500(0.9963)^t equation (2)

We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :

{M=300(0.9985)^t

{M=500(0.9963)^t

A bill of $424 was paid with $5 bills and $2 bills. A total of 128 bills were used. How
many of them were fives?

Answers

Answer: 56

Step-by-step explanation:

Let the number of $5 be x

Let the number of $2 be y.

Based on the information given, we can form an equation as:

x + y = 128 ........ i

5x + 2y = 424 ....... ii

Multiply equation i by 2

Multiply equation ii by 1

2x + 2y = 256 ...... iii

5x + 2y = 424 ....... iv

Subtract iii from iv

3x = 168

x = 168/3

x = 56.

Therefore, there were 56 $5 bills.

Two-step equation
2x+5x=-1
What's the answer for x=

Answers

-1 / 7 = x

You need to combine the 2x and 5x then devise the 7x from -1

Answer:

x=-1/7

Step-by-step explanation:

Combine like terms

7x=−1

Then you divide both sides by 7 and then you get x=-1/7 (fraction)

Hope it helps :)

Vhich expression shows that the quotient

Answers

Answer:i think the answer d

Step-by-step explanation:

Answer:

2nd option is the correct answer.

[tex] \frac{6x - 1}{9x - 3} [/tex]

Step-by-step explanation:

[tex] \frac{2}{3x - 1} \div \frac{6}{6x - 1} \\ \\ = \frac{2}{3x - 1} \times \frac{6x - 1}{6} \\ \\ = \frac{1}{3x - 1} \times \frac{6x - 1}{3} \\ \\ = \frac{6x - 1}{3(3x - 1)} \\ \\ = \frac{6x - 1}{9x - 3} [/tex]

Bacteria are the most common example of exponential growth. Select a number between 2 and 10 to represent the hourly growth rate of a certain bacteria. For example, selecting the number 8 would mean that the amount of bacteria will be 8 times greater after every hour.
a. Suppose you start with one single bacterium. Make a table of values showing the number of bacteria that will be present after each hour for the first six hours using the hourly growth rate that you selected. Then determine how many bacteria will be present once 24 hours have passed.
b. Explain why this table represents exponential growth.
c. Using this example, explain why any nonzero number raised to a power of zero is equal to one.
d. Write a rule for this table.
e. Suppose you started with 100 bacteria, but they still grew by the same growth factor. How would your rule change? Explain your answer.

Answers

Answer:

bh

Step-by-step explanation:

Answer:

Answers are below

Step-by-step explanation:

Hour 0                 1 bacterium

Hour 1                  3 bacterium

Hour 2                 9 bacterium

Hour 3               27 bacterium

Hour 4                81 bacterium

Hour 5            243 bacterium

Hour 6            729 bacterium

After 24 hours, the number of the bacterium will reach 282,429,536,481.

B)  This table represents exponential growth because of the number of bacterium always being multiplied by 3.

C)  The reason that any number to the zero power is one is that any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.

D)  Y = 1 + 3 to the power of x

E)  The rule would change by having all of the numbers multiplied by 100 since there is 100 bacterium at Hour 0.

Susan estimated she would spend $250 on school clothes at the start of the school year. She actually ended up spending only $230. What was her percent of error in her calculations?

Answers

Answer:

8.7%

Step-by-step explanation:

the formula for  % error is = [ (approx. - exact ) / exact ] x 100

so, we know the approx value was 250 while the exact one is 230

thus; [ ( 250-230 ) / 230 ] x 100

= 8.7%

Failing please please

Answers

Answer:

A = 102m squared (Brainiest?)

Equation = b x h / 2

Step-by-step explanation:

A = (12 x 17) / 2

A = 204 / 2

A = 102m squared

The formula V = s3 give the volume V of a cube with side length s.

Answers

Answer:

8 inches cubed

Step-by-step explanation:

We get the formula in the task description:

V = s^3

The next sentence tells us s = 2in, so:

V = (2in)^3 = 8in^3

Answer:

8

Step-by-step explanation:

Formula: V = s³

Substitute: V = 2³

2³ = 2 · 2 · 2

Solve: V = 8

answers r
6 units
7 units
8 units
9 units

Answers

Answer:

9 units

Step-by-step explanation:

Answer:

6 units

Step-by-step explanation:

Find the value of x.
(3x+20) º
12°

Answers

Answer:

x=32°

Step-by-step explanation:

2x+3x+20=180 co interior angle

5x=180-20

x=160/5=32°

Answer:

12°

Step-by-step explanation:

a straight line adds up to 180°

(3x+20)+2x=180

3x+2x+20=180

5x+20=180

5x=180-20

5x=60

5x/5=60/5

x=12

x=12°

10 points! Brain person too!
The stem-and-leaf plot shows mandy’s math test scores. What is the median of her test score?
A- 88
B- 87
C- 85
D- 84

Answers

Answer: C

Step-by-step explanation:

All the numbers are 78, 80, 83, 84, 84, 86, 89, 91, 95, 100. That’s because for each row, you take the number in the first column, and create each score by putting one of the numbers in the second column next to the first number. The median is the number in the middle if you were to put them out in order. I already listed the numbers in order, and the middle numbers are 84 and 86, so the find the middle of those, you add them together and divide by 2. You get 85, a.k.a. option C.

Probably Answer is C

Use the quadratic formula to solve the equation.
4x2 - X+ 3 = 0

Answers

Answer:

X=11

Step-by-step explanation:

4 x 2 - X + 3 = 0

multiply 4 x 2

=8

subtract the 3 and 8 to the other side which will made it

-X = -11

and this can be divided by a negative so the answer will be

X = 11

Tell me the definitions of the following vocabulary words:



quadrilateral:



parallelogram


trapeze:



rectangle:



diamond:



square: PLS HELP ME

Answers

Answer:

quadrilateral: a four-sided shape or figure and has four striaght sides

parallelogram: four-sided plane with oppisite paraell sides

trapezoid: a quadrilateral with one pair of parell sides  

rectangle: a figure with both four stright and four right angles. It is also quadrilateral, paraellagram,  

diamond: a quadrilateral that has four sides of the same lenght and is also a parallelogram .

square: a quadrilateral with four equal sides. It is a rectangle and parallagram.

Hope that helped you! :)

Step-by-step explanation:

Solve for x..........

Answers

Step-by-step explanation:

30/42 = 25/6x-1

180x - 30 = 1050

180x = 1020

x = 5.67

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?

0.005
0.015
0.245
0.735​

Answers

Answer:

0.245 because of him having the 75% chance of getting it and the test only being 98%

Step-by-step explanation:

its 0.245

Answer:

its 0.245

Step-by-step explanation:

I used the big fat mega thinking side of meh brain im smart

Hope with a question

Answers

Answer:

(3,7)

Step-by-step explanation:

ILL GIVE BRAINLY TO WHOEVER HELPS ASAP

Answers

Answer:

a=-2,4

b=1,1

c=4,3

Step-by-step explanation:

b

Subtract the following polynomials in this equation

Answers

A is the answer to your question
Other Questions
Is the following number rational, irrational, or nonreal. A line segment has endpoints S(-9,-4) and T(6,5). Point R lies on ST such that the ratio of SR to RT is 2:1. What are the coordinates of point R? greater than or less than What are some conflicts you have seen happening on the playground? How do you think kids could prevent them? Resolve them? Help, help, help! Quick Answer, please! What is the five- number summary of the following data set52,53,55,59,60,64 GOD BLESS YOU I WILL REWARD YOU ACCORDINLY IF YOU ANSWER CORRECTLY Which device converts electric energy into mechanical energy?O A. An electromagnetO B. A motorO C. A transformerO D. A generator Most of Lewis and Clarks encounters with the native Americans was____ 3. The experimental probability that Cindy will catch a fly ball is equal to 3. About what percent of the time will 7 Cindy catch a fly ball? Inequality question PLEASE HELP Is this in pretrit tense? PLEASE HELP ILL GIVE BRANLIEST La semana pasada, en vacaciones de primavera, viaj a florida con mis amigos y familia. Mis amigos y yo vimos netflix para el paseo en coche. Despus de llegar a nuestro destino a la casa de la playa, ellos fueron a la playa. Jug al voleibol con mis amigos en la playa y nad en el agua. Luego para la cena com pizza. Cinco das despus regres a Atlanta y com con mi familia y amigos. Reduce: [(p q)] q] [(q p) p] Find the Volume. 5 1/2 x. 3 x 6 1/3 A trapezoid has angles 54 degrees, 54 degrees, x, and x. Look at the trapezoid shown. What is the measure of angle x? The measure of each angle x is 54 90 126 252 Look at photo for the question and answer choices... NO LINKS OR BLANK ANSWERS(also i added a cute/funny question aswell)another needed question!: https://brainly.com/question/23040227 j + 54 = 971what is j please answer and explain and ill give brainliest can someone do 4, 5, 7 and 8 im failing math and avoiding a whooping Anna bought textbooks and notebooks at the bookstore. The number of notebooks she bought was fourmore than the number of textbooks. If the total number of notebooks she bought was 7, how manytextbooks were bought?