A student said that x = 4 was not a solution to the question 3(x -6) = -8
Here is their work:
3(x -6) = -8
3 (4 -6) = -8
12 -6 = -8
6≠ -8
so x = 4 is not a solution

Did the student substitute x=4 correctly? How do you know?

Did the student simplify with Order of Operations correctly? How do you know?

If you try the problem, what do you get when you substitute x=4 into the equation?

Answers

Answer 1

Answer:

Step-by-step explanation:

3 (4 -6) = -8 is correct.  The next step is to combine 4 and -6, obtaining

3(-2)

and this 3(-2) should equal -6, which is not the same as -8.

3(4 - 6) = 12 - 18, which differs from the student's solution.  This is the reason for the wrong answer.


Related Questions

Find the vertex of this parabola:
y = -x2 - 6x - 10

Answers

Answer:-10

Step-by-step explanation: The slope-intercept form is

y

=

m

x

+

b

y

=

m

x

+

b

, where

m

m

is the slope and

b

b

is the y-intercept.

y

=

m

x

+

b

y

=

m

x

+

b

Find the values of

m

m

and

b

b

using the form

y

=

m

x

+

b

y

=

m

x

+

b

.

m

=

6

m

=

-

6

b

=

10

b

=

-

10

The slope of the line is the value of

m

m

, and the y-intercept is the value of

b

b

.

Slope:

6

-

6

y-intercept:

10

To find the vertex you need to use the formula
-b
——
2a
So for this problem that would be:

-(-6)
——— = x= -3
2(-1)

Now that you have x, to find y you need to just simply plug the number that you got for x back into the original equation and solve. Like this-

y= -(-3)2-6(-3)-10

y= 6+18-10

y= 4

This means that your vertex is (-3, 4).
I’m not sure if the 2 next to the x is meant to be squared instead of just 2, so let me know if it was meant to be that and I’d be happy to redo it for you!
Hope this helped! If it did I would appreciate it if you considered marking me brainliest!

Can y’all help me on question 22?!

Answers

Answer:

The answer for question 22 is 40.

-

Step-by-step explanation:

[tex] \frac{8 \: red \: cars}{3 \: blue \: cars} = \frac{x}{15 \: blue \: cars} \\ \\ \frac{3x}{3} = \frac{120}{3} \\ \\ x = 40[/tex]

Michelle is scuba diving. Her position changes from -2.1m to -38.6m in 6 1/4 min. What is the average change in Michelle's position each minute?

Answers

Answer: 5.824 m / min

Step-by-step explanation:

Change in position = -2.1m to -38.6m

Distance = |-38.6 m - (-2.1m) |

=|-36.5| m

= 36.5 m

Time = [tex]6\dfrac14\ min=\dfrac{6\times4+1}{4}\ min[/tex]

[tex]=\dfrac{25}{4}\ min[/tex]

The average change in Michelle's position each minute = [tex]\dfrac{36.5}{\dfrac{25}{4}}\text{ m/min}[/tex]

[tex]=\dfrac{36.4\times4}{25}\text{ m/min}\\\\= 5.824\text{ m/min}[/tex]

Hence, the average change in Michelle's position each minute = 5.824 m / min

y is inversely proportional to x.
When y = 7, x= 9
Work out the value of y when x = 21.

Answers

Answer:

y = 3

Step-by-step explanation:

y is inversely proportional to x setup:  y = k/x

'k' is the constant of variation; find this first

7 = k/9

k = 63

now use 'k' to find 'y'

y = 63/21

y = 3

Can you help me please its urgent!

Answers

Answer:

Step-by-step explanation:

Option " C" is correct this question is from fixed& variable

Answer:

C

Step-by-step explanation:

The monthly fee is going to be $5 and she's playing for a month, so let's put that down-

5+

Now, we need to figure out how much she plays - since we don't know this, we put it as a letter, and since we're calculating the cost, we add this to the equation-

5+0.25*x

Therefor, the answer is C(x)=5+0.25x

If the plays for 4 hours, the equation would be 5+(0.25*4)

Which is greater, 24 or - 25

Answers

Answer:

24

Step-by-step explanation:

its positive

Answer:

-25 ∠ 24

Step-by-step explanation:

Help answer fast if you ion mind ty

Answers

I think the is A if not then choose C

A tax of 7% was added on to the cost of a meal. If the tax paid was $1.40, what was the cost of the meal?

Answers

Answer:

The cost of meal is: $20

Step-by-step explanation:

Given

Percentage of tax = 7%

Also given that the amount of tax is $1.40

Let x be the price of meal

Then the tax will be 7% of x

It can be written mathematically as:

[tex]1.40 = 7\%\ of\ x[/tex]

We will simply solve this equation to get the price of meal

So,

[tex]1.40 = 0.07*x\\x = \frac{1.40}{0.07}\\x = 20[/tex]

Hence,

The cost of meal is: $20

What is the probability of me choosing a number that is both a square and a factor of 3
Square Number
Factor of 3

1,3,5,7, 2, 4, 9, 12, 16, 25, 36

Answers

Answer:

2/11 or roughly 18%

Step-by-step explanation:

fisrt we have to find all the numners that fullfil this condition. They are 9 and 36, so only two. then we have to divide 2 by the all the numbers and we get 2/11

A housing developer wants to create 45 house lots for every 10 acres of land. All the house lots will be the
same size and shape. Which of these is closest to the amount of land required to create 105 house lots?



A. 11 acres

B. 25 acres

C. 42 acres

D. 63 acres

Answers

Answer:

25 acres

Step-by-step explanation:

25 acres  hope this helps

Answer: B.25 acres because:

105/45=2.3
2.3 x 10= 23
23 is the closest to 25

Determine the domain and range:
{(-9,0), (-6,0), (-4,0), (0,0), (3,0), (5,0)}

Answers

Answer:

Answers are below.

Step-by-step explanation:

From smallest to largest:-

Domain: {0, 3, 5, -4, -6, -9}

Range: {0}

Answer:

The domain is the set of all the values of x

The range is the set of all the values of y.

Domain:

{0,1,2,4,5,6,7,8}Range: {5,4,9,6,0}

Step-by-step explanation:

How do algebra tiles help you solve equations?

Answers

Answer:

Algebra tiles make solving equations, merging like words, or factoring polynomials a visual operation, similar to students using counters to make sense of addition in elementary school, or students using number lines to make sense of integers.

Step-by-step explanation:

i hope this helped

help for brainlest what can be use ti

Answers

Answer:

2x(5+13)

Step-by-step explanation:

add then multiply by 2

Answer:

to find perimeter

= 2(L+w)

= 2(5+13)

10+26

36

so the answer is 2×(5+13)

hope it's helpful ❤❤❤❤

THANK YOU.

Westminster Street and Lake Avenue intersect. If Westminster Street is 7 meters wide and Lake Avenue is 5 meters wide, what is the distance between two opposite corners of the intersection? If necessary, round to the nearest tenth.

Answers

Answer:

the distance between two opposite corners of the intersection is 8.60 meters

Step-by-step explanation:

The computation of the distance between two opposite corners of the intersection is given below:

Here we applied the Pythagoras theorem

[tex]= \sqrt{7^2 + 5^2} \\\\= \sqrt{49 + 25} \\\\= \sqrt{74}[/tex]

= 8.60 meters

hence, the distance between two opposite corners of the intersection is 8.60 meters

2/3x - 12 for x = 18___

Answers

Answer:

-11 53/54

Step-by-step explanation:

3 x 18 = 54

1/54 - 12 = -11 53/54

Marvin wrote down all of the numbers from 1 to 100. How many times did the digit 8 appear in Marvins's list?

Answers

Answer:

Originally Answered: How many times does 8 occur in 1 to 100? 20 8's occur from 1 to 100. 8, 18, 28, 38, 48, 58, 68, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89 and 98.

Step-by-step explaintion: i am 5 million iq brainlist pls

IF YOU DECIDE TO HELP ILY!!

Answers

Answer:

n equals 4

Step-by-step explanation:

(SAT Prep) Find the value of x.

Answers

Answer: x=40°

Step-by-step explanation:

The two triangles are congruent (I think it’s called the interior angle proof) so the bottom right angle is also 65°. All angles in a Triangle equal 180°, so 180-(75+65)=40

Answer:

huh

Step-by-step explanation:

just multi ply its not hard

Please help due ASAP
SHOW workings please

Answers

Answer:

x=12,  SV=30

Step-by-step explanation:

Since <S is congruent to <T, you know that line TV is equal to line SV

2x+6=3x-6

subtract 2x on both sides

6=x-6

add 6 to both sides

12=x

x=12

To find SV you need to plug in x

2(12)+6

24+6

30

Explain what the point (20,160) represents in the context of the situation? Check all boxes that apply A. 160 shirts cost $20
B. 20 shirts cost $160
C. 20,160 shirts cost money
D. The total cost of shirts is 20,160

Answers

Answer:

option B is correct option.

Step-by-step explanation:

Explain what the point (20,160) represents in the context of the situation? Check all boxes that apply

Looking at the graph we come to know that 20 shirts cost $160 because x -axis represent number of shirts and y-axis represent Total Cost

So, the point(20,160) means x = 20 and y=160

We have 20 shirts and the cost is $160

So, option B is correct option.

Oceanside Bike Rental Shop charges a $14 fixed fee plus $8 an hour for renting a bike. Tim paid
$86 to rent a bike. How many hours did he rent the bike? Write and solve an algebraic equation to
find the answer. Be sure to identify your variable. (7.EE.4)

Answers

Answer:

10.75 hours

Step-by-step explanation:

h= Hours  86divided by 8 = h= 10.75

If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6. What is AC?

Answers

Answer:

AC=44

Step-by-step explanation:

The value of AC is 12 unit.

What is parallelogram?

A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

Given:

ABCD is a parallelogram.

And  BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6.

The two diagonals bisect each other.

AC = AE + EC

AC = 2AE

AC = 8x-12

The diagonals of a parallelogram are equal.

So,

BD = AC

5x+3 = 8x-12

x = 3

So, AC = 12

Therefore, the AC is 12 unit.

To learn more about the parallelogram;

https://brainly.com/question/29133107

#SPJ6

Your friend wants to buy a pair of jeans
that are on sale for 30 off if the jeans
original price is $40, how much will the
sale price be?

Answers

Answer:

$12

Step-by-step explanation:

30 x 40

100

= 12

The sale price is $12.

The price of the pair of jeans that are on sale for 30% off will be $28.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Your friend wants to buy a pair of jeans that are on sale for 30% off if the jean's original price is $40.

Let "S" be the price of sales. Then the equation is given as,

30% = [($40 - S) / $40] x 100

0.30 = ($40 - S) / $40

S = $40 - $12

S = $28

The price of the pair of jeans that are on sale for 30% off will be $28.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

A bike is on sale for 45% off of the regular price. If the sale price is $299.75, what was the original price?

Answers

666.11
299.75/.45=666.11

since you’re looking for original price instead of the price on sale, you would do the opposite which is to divide.

Answer:

the original price is 545$

Step-by-step explanation:

299.75$ : 55$ = x : 100

55x = 299.75 x 100

55x : 29975

divide 29975 by 55 =

545

3.
Susan has a balance of $110 in her school lunch account, and she spends $6 per day for
lunch. Her sister Evelyn has $83 in her lunch account, and she spends $4 per day for lunch. In
how many days will Susan's lunch account balance be less than Evelyn's?

Answers

Answer:

i may be entirely wrong but evelyn has more days

susan=18

evelyn=20.75 or 21 if rounded

Elaine opened a savings account with a deposit of $1000. The interest on her account is compounded each year at a rate of 2%. Elaine will not make any additional deposits to or withdrawals from her account. What will be the balance in Elaine's account at the end of 3 years? Round your answer to the nearest whole dollar.

Answers

Answer:

$1,061.21

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Present value (PV) = $1,000

Rate of interest compounded yearly (r) = 2%

Time period (n) = 3

So, we can calculate the future value (FV) by using following formula,

Future Value = PV(1 + r)^n

By putting the value, we get

FV = $1,000 ( 1 + 0.02)^3

= $1,000 ( 1.02)^3

= $1,000 ( 1.061208)

= $1,061.21

In the figure, BP = BQ and PC = QA. Which of the following postulates prove AB = BC?

Answers

Answer:

Option C

Step-by-step explanation:

Segment addition postulate states that "if a point Q lies on a segment joining two points A and B, then AQ + BQ = AB"

By this postulate,

AQ + BQ = AB

BP + PC = BC

Since, BP ≅ BQ and PC ≅ QA

Therefore, BP + PC ≅ BQ + QA

BC ≅ AB

Option (C) will be the answer.

Answer:

Segment Addition Postulate

Step-by-step explanation:

I got this answer right

What kind of triangle is this?

Answers

Answer:

Obtuse

Step-by-step explanation:

Has one obtuse angle, i hope this helps you

Answer :
Obtuse
Explanation:

1) From 30 inches to 24 inches. What is the percent of change? A. Increase 20% B. Decrease 25% C. Increase 20% D. Decrease 20%​

Answers

Answer:

either d or b???

It’s clearly a decrease, since it goes form a higher number (30) to a lower one (24).
30-24 = 6
6/30 = x/100
Work:
6 x 100 = 600
600/30 = 20

So there’s a 20% decrease.

What are the like terms in the expression 3x + 4 -2x + 5y + 4z + 5x

Answers

I haven’t done math like this in a while, it is possible my answer is completely wrong

6x+4+5x+4z

Other Questions
take a picture of an object in your house, describe theenergy stores and transfers that happen with it. You can be as imaginative as you wishwith the object (choose something unusual), but the stores you identify and transfersthat happen must be real.pls give me ideas of what to take a photo of for this I'm really stuck :( I WILL GIVE BRAINLIEST I NEED HELP IMMEDIATELY ! What might the student have done that caused thiserror? List all possible causes. How is radioactive dating used to measure Earths age? You are considering an investment in Cruise, Inc. and want to evaluate the firm's free cash flow. From the income statement, you see that Cruise earned an EBIT of $203 million, paid taxes of $50 million, and its depreciation expense was $74 million. Cruise's gross fixed assets increased by $71 million from 2017 to 2018. The firm's current assets decreased by $11 million and spontaneous current liabilities increased by $6.1 million. What is Cruise's operating cash flow, investment in operating capital and free cash flow for 2018, respectively in millions please answer this. Nara wants to find the area of the base of her cooler. If she fills the cooler with 3 bags of ice and each bag of ice holds of [tex]3m^{3}[/tex] ice. She knows that her cooler is 4m tall. What is the area of the base? describe the phases of the mitosis and what occurs during each phase? please help:) theme means: O enthusiastic greeting O an authoritative rule O melodic subject of a musical composition a telegram sent abroad choose one of the statement that accurately describes entrepreneurship: Which group of city states from West Asia colonized much of the Mediterranean and were named after their famous purple dye?Question 4 options:GreeksPhoenicians EgyptiansAkkadians x2 + 8x + 20 = 0Quadratic equation 2 24.42 = ?...... ..... How many mathematicians discovered the Law of Sines? Which of the five stages of respiration takes place at the alveoli? a bus accelerates from 2 m/s to 10 m/s in 5 seconds. What was its average acceleration?Please Help . A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via email. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected Anita is concerned that she'll be diagnosed with type 2 diabetes. What type of lifestyle change could she make to help prevent this diagnosis?A. switch to a diet low in fat and sugar and maintain an active lifestyleB. switch to a vitamin-rich diet and maintain a somewhat active lifestyleC. switch to a protein-rich diet but keep a sedentary lifestyle The authors discuss different scientists in the last two sentences of the passage primarily toexplain why some sciences have advanced further than othersBcorrect a misconception about the nature of scientific rationalityunderscore that all scientific thought ultimately rests on observationDresolve an apparent contradiction between empiricism and experimentalismEprove that their definition of science accurately represents the work of past scientists [tex]\sqrt[47][134}[/tex] Please help me read the attached picture