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) Step 2; 6x − 6 = 2(6 + x + 2) Step 2; 6x − 8 = 12 + 2x Step 3; 5x − 2x = 12 − 6 Step 3; 5x + 2x = 12 + 6

Answers

Answer 1

Answer:

B: Step 2; 6x − 8 = 12 + 2x

Step-by-step explanation:

the student added  2 x 4 during the distributive property but you must multiply so you get 8 rather than 6.

Answer 2

Answer:

b

Step-by-step explanation:


Related Questions

Dakota earned ​$11.25 in interest in Account A and ​$25.00 in interest in Account B after 15 months. If the simple interest rate is ​3% for Account A and 5​% for Account​ B, which account has the greater​ principal? Explain.
Which account has the greater​ principal? Select the correct answer below and fill in the answer boxes to complete your choice.

Answers

Answer:

Step-by-step explanation:

I=Prt

11.25=A(0.03)(15/12)

11.25=A(0.0375)

A=11.25/(0.0375)

A=$300

25=B(0.05)(15/12)

25=B(0.0625)

B=25/(0.0625)

B=$400

So account B has the greater principal.

Many large cities use taxes on entertainment tickets to pay for improvements to public facilities, like stadiums, arenas, and concert venues. A city council proposal would increase the current ticket tax in order to raise funds for a new public concert hall. Council representatives plan to conduct a survey outside of a large concert in the summer and ask selected adults if they would support an increase in the ticket tax to pay for the new concert hall. Which type of bias will most likely affect the survey results? This is response bias because it is likely that many who respond will not provide a truthful opinion of the ticket tax. This is undercoverage bias because only those attending the concert will have an opportunity to register an opinion. This is nonresponse bias because many who are asked about the ticket tax may choose to not provide a response. This is voluntary response bias because many vocal supporters of the ticket tax may demand to register their opinion.

Answers

Answer:

This is undercoverage bias because only those attending the concert will have an opportunity to register an opinion.

Step-by-step explanation:

Undercoverage bias occurs when the sample chosen for a research is not representative of the entire population. Most times when research involving surveys to obtain the opinions of people on a subject matter, the entire population affected by the issue cannot be surveyed. A sample that represents the true population can be used for this research.

In the survey above, the sample that was surveyed was not representative of the entire population of citizens paying taxes on entertainment tickets. The selection process does not represent the true population.

Answer:

b on ed

Step-by-step explanation:

right

pls help reward brainleist

Answers

Answer:

number 1: {0,-6)    number 2: f(-2)=25 number 3: x=±10   number 4:B, or x=-2, x=3

number 5:36  i really hope this helps! have a good day!

Step-by-step explanation:

1: 2x^2+12x +0=0

this is how you set it up

next, you have to find the a,b,and c. This is my personal favorite way of doing this.

a=2 b=12, c=0

you plug it in to the quadratic formula which is

-b±√b^2-4ac/2a

(-12)±√(12)^2-4(2)(0)/2(2)

next you have to simplify

-12±√144-0/4

take the square root of 144

-12±12/4-

then, find the solutions of them

-12+12=0

0/4=0

x=0

we are not done yet

-12-12=-24

-24/4

x=-6

your solutions are 0,-6, which is C

2: it is giving us x, which is -2

plug in -2 to the right side of the equation.

2(-2)^2-4(-2)+9

2(4)-8+9

8-8+9

f(-2)=9

3: this one is fairly simple

x^2=100

take the square root of each side

x=±10

4: you have to replace y for 0 in this one

x^2-x-6=0

all you have to do is factor it out, and it turns into

(x+2)(x-3)

then turn these so they equal 0

x+2=0, x-3=0

x=-2     x=3

your answer would be B

5: this one is fairly simple too

the formula to completing the square is (b/2)^2

you plug in b, which is 12

12/2=6

6^2=36

you would add 36 to each side.

Answer:

7) {0, -6}

1) 25

2) x= ±10

3) x= 3, -2

4) 36

5) 225/4

6) x = -3±[tex]2\sqrt{3}[/tex]

Step-by-step explanation:

1) 2x^2 -4x + 9

2(-2)^2 - 4(-2) + 9

8+ 8 + 9

25

What is the mean ?

I kinda need help

Answers

Answer:

7

Step-by-step explanation:

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end
of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith
withdraw money from his account? Write your solution as an inequality with x as the variable. Round to the
nearest whole number if necessary

Answers

500$ will be left because

(07.01 LC)
Choose the correct classification of 3x4 - 7x3 + 5x. (2 points)
Sixth degree polynomial
Third degree polynomial
Fourth degree trinomial
First degree binomial

Answers

Forth degree trinomial because we have a number that’s to the exponent of four and we have 3 terms.

Find the value of x

Answers

Answer:

x= 3.5

Step-by-step explanation:

which expression is equivalent to 2 3/5 divided by 7/9

Answers

Answer:

I don't know look it up lol

Step-by-step explanation:

that's what I did go to answers. com that's where I get all my answers that brainly doesn't provide that or ask a tutor

If ∆MNL ~ RSL, find the value of x​

Answers

Answer:

x = 5

Step-by-step explanation:

NL/ML = SL/RL

(3x - 1)/28 = (x + 7)/24

24(3x - 1) = 28(x + 7)

72x - 24 = 28x + 196

72x - 28x = 196 + 24

44x = 220

x = 220/44

x = 5

The cost c in dollars of manufacturing x bicycles at a production plant is given by th function shown below C(x)=5x^2-1000x+63,500. How many bicycles must be manufactured to minimize the cost

Answers

Answer:

100 bicycle

Step-by-step explanation:

Given the cost c in dollars of manufacturing x bicycles at a production plant expressed as C(x)=5x^2-1000x+63,500.

x is the number of bikes

To minimize the cost, dC/dx = 0

dC/dx = 10x - 1000

Since dC/dx = 0

0 = 10x - 1000

-10x = -1000

x = 1000/10

x = 100

Hence the number of bicycles that must be manufactured to minimize the cost is 100 bicycle

The farmer brought 180 cabbage to the market.
When the day was over, he had 10% less cabbage.
How many cabbage does the farmer have left?

Answers

18 cabbages left because 10% of 180 is 18

For volunteers picked up letter from the park Dominic you collect and 15 for your pieces a litter than Sarah Sarah collect the 12 more pieces in piper piper collected 1/4 as many pieces of litter as Vaughn Vaughn has collected nine more pieces of wood or than everyone else combine the X represent the number of pieces of litter Vaughn Collection

Answers

So many confusing details. So, I rephrase the question as:

Four volunteers picked up litters from the park.

Dominic collect 15 pieces less than Sarah. Sarah collects 12 more pieces than Piper. Piper collected 1/4 as many pieces of letter as Vaughn. Vaughn has collected nine more pieces of letter than everyone else combined. Let x represent the number of pieces of litter in Vaughn's Collection. Find x

Answer:

[tex]x = 72[/tex]

Step-by-step explanation:

Let:

[tex]D = Dominic;\ \ S = Sarah;\ \ P = Piper;\ \ V = Vaughn[/tex]

From the [rephrased] question, we have:

[tex]D = S - 15[/tex]

[tex]S = 12 + P[/tex]

[tex]P = \frac{1}{4}V[/tex]

[tex]V = 9 + D + S + P[/tex]

Substitute [tex]S = 12 + P[/tex] in [tex]D = S - 15[/tex]

[tex]D = 12 + P - 15[/tex]

[tex]D = P+12 - 15[/tex]

[tex]D = P-3[/tex]

Make V the subject in [tex]P = \frac{1}{4}V[/tex]

[tex]V = 4P[/tex]

Substitute: [tex]V = 4P[/tex], [tex]D = P-3[/tex] and [tex]S = 12 + P[/tex] in [tex]V = 9 + D + S + P[/tex]

[tex]4P= 9 + P - 3 + 12 + P +P[/tex]

Collect like terms

[tex]4P - P -P-P= 9 - 3 + 12[/tex]

[tex]P= 18[/tex]

Substitute [tex]P= 18[/tex] in [tex]S = 12 + P[/tex]

[tex]S = 12 +18[/tex]

[tex]S = 30[/tex]

Substitute [tex]S = 30[/tex] in [tex]D = S - 15[/tex]

[tex]D = 30 - 15[/tex]

[tex]D =15[/tex]

Substitute [tex]D =15[/tex], [tex]S = 30[/tex] and [tex]P= 18[/tex] in [tex]V = 9 + D + S + P[/tex]

[tex]V = 9 + 15 + 30 + 18[/tex]

[tex]V = 72[/tex]

x represents the number collected by Vaughan.

So:

[tex]x = 72[/tex]

Which expressions are solutions to the equation 3/4x = 15? Select all that apply.

(answers are in the picture)

Answers

Answer:

ez

Step-by-step explanation:

The solution is, A. & E. x=15/3/4.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

given that,

3/4x = 15

x= 15÷3/4

x=15/3/4

Hence, The solution is, A. & E. x=15/3/4.

To learn more on equation click:

brainly.com/question/24169758

#SPJ5

-4 and 3x + 5y = 0
Solve the system of equations 5x +9y
by combining the equations.

Answers

Answer:

Sorry this question does not make any sense.  Delete it and re-type the equations correctly.

Step-by-step explanation:

Convert 29,000 mm2 into cm2

Answers

Answer:

290 cm2

Step-by-step explanation:

If x =3, y = -2 and z = 6, find the value of 7xyz

Answers

Answer:sin

(

330

)

 

csc

(

60

)

cos

(

390)

Step-by-step explanation:

A triangle has a base of 12 feet and a height of 8 feet. By how much does the height need to increase for the area to increase by 4.5 square feet?

Answers

Answer:

hello gimme-Dem points.

Step-by-step explanation:

Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 2.5%/year compounded monthly. If the future value of the annuity after 10 years is $60,000, what was the size of each payment? (Round your answer to the nearest cent.) $

Answers

Answer:

Monthly payment= $440.71

Step-by-step explanation:

Giving the following information:

Mothly interest rate (i)= 0.025/12= 0.00208

Number of periods (n)= 12*10= 120 months

Future Value (FV)= $60,000

To calculate the monthly payment, we need to use the following formula:

Monthly payment= (FV*i) / [(1+i)^(n) - 1]

Monthly payment= (60,000*0.00208) / [(1.00208^120) - 1]

Monthly payment= $440.71

Delaney is saving money in an account that offers 9% simple interest. She deposits 2000 from her grandmother into the account and makes no additional deposits or withdraws. How many years will it take to grow to 4,700

Answers

Answer:

15years

Step-by-step explanation:

Given data

Rate= 9%

Principal= $2000

Final amount= $4700

The simple interest formula is given as

A= P(1+rt)

Substitute

4700=2000(1+0.09*t)

4700= 2000+ 180t

4700-2000= 180t

2700=180t

t= 2700/180

t= 15 years

Hence the time is 15years

May someone help me out with these problems? Please explain

Answers

Answer:

Well you have to solve each problem first to make them the same. Let's do decimals.

a) The square root of 58 is 7.61577310586. Let's round that to 7.62. You can solve this with a calculator.

b) Simply -32.0, since it is a whole negative number.

c) I think there's a typo, 'C' is the second 'b)', which is 49/7. 49 divided by 7 is seven, hence the decimal would be 7.0

d) 2.65 repeated, already a decimal, does not need changed.

e) The square root of 6 is 2.44948974278. Let's round that to 2.45.

f) is just 0. no decimal, just 0.

Now that you have these as the same form of number, you have to put them into one of these categories. The categories can be found below.

Any square root number is irrational. Any never ending number is irrational, like pi, but there are none of those in this situation. So a, and e are all irrational.

Any repeated number, in this case, 2.65 repeated, is a rational number, as is any decimal or fraction, but there are none of these, so d is rational.

-32 is and integer, because it is a negative whole number, so b is an integer.

Whole numbers are any numbers 0+. So f is the only answer that is a whole number.

Natural numbers are any numbers 1+. So c or the second b is a natural number.

Hope this helps :)

Stay Cold,

Brook

Pls help and hurry i will report if you answer any unnecessary answers.

Answers

Answer:

847.8 sq meters

Step-by-step explanation:

Formula:

A= 2πrh + 2πr^2

A= 2(3.14)(9)(6) + 2(3.14)9^2

A= 339.12 + 508.68

A= 847.8

Determine whether the polygons are similar.

Not Similar
Similar

Answers

Similar, Please let me know if this helped!!
The are NOT similar

The table below shows the number of people attending a charity event, x, and the total cost of hosting the event, y. Number of People (x) 2 3 4 5 6 7 Total Cost (y) $2,630 $2,695 $2,760 $2,825 $2,890 $2,955

Which linear function models this situation?
A. y = 2,630x + 65
B. y = 65x + 2,630
C. y = 2,500x + 65
D. y = 65x + 2,500​

Answers

I think it’s D hope that helped

The radius of a circle is 7 kilometers. What is the diameter?

Answers

r=7

d=2r

d=14 kilometers

Answer:

14kilometers

Step-by-step explanation:

diameter=2*radius.

help me please, brainliested ;)

Answers

Answer:

Literally. can't help. you dude.

marty has 1 1/3 jugs of apple juice. he uses 3/4 of the juice to make freeze pops. what fraction amount of a jus doe marty have?

Answers

Answer:

He has 1/3 of a jug left.

Step-by-step explanation:

He starts with 1 1/3 jugs.

He uses 3/4 of 1 1/3 jugs.

A full amount is 1 or 4/4. If he uses 3/4, he has 1/4 left since

1 - 3/4 = 4/4 - 3/4 = 1/4

That means he has 1/4 of 1 1/3 jugs left.

We need to multiply 1/4 by 1 1/3.

1/4 * 1 1/3 =

= 1/4 * 4/3

= 4/12

= 1/3

Answer: He has 1/3 of a jug left.

Is it A) 5 or C) 1/5?

Answers

Answer:

5

Step-by-step explanation:

If x increases by 7 in each row of a table of values, and the first differences are all equal to 45.5, then the rate of change is:

a) 6.5

b) 455/7

c) 7/455

d) 318.5

Answers

Answer:

b i think

Step-by-step explanation: dont yell just tell me if i got it wrong if i did srry

The rate of change when x increases and the first difference equal to 45.5 is 6.5. Then the correct option is A.

What is the slope?

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope is given as

[tex]\rm Slope = \dfrac{Rise \ or \ fall}{Run}[/tex]

If x increases by 7 in each row of a table of values and the first differences are all equal to 45.5. Then the rate of change will be given by the slope.

[tex]\rm \\Slope = \dfrac{45.5}{7} = 6.5[/tex]

The rate of change is 6.5.

More about the slope link is given below.

https://brainly.com/question/3605446

factor the polynomial completely f(x)=x^4-6x^3-8x+48;x-6​

Answers

Answer:

Factor x^3+8x^2+6x+48. x3+8x2+6x+48 x 3 + 8 x 2 + 6 x + 48. Factor out the greatest common factor from each group.

To solve the equation below, you would?
X – 70 = 135
A) add 70 to each side
B) subtract 70 from each side
C) multiply each side by 70
D) add 135 to each side

Answers

Step-by-step explanation:

step 1. x - 70 = 135

step 2. x = 205. add 70 to each side

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