The equations below were created by students who were asked to write equivalent expressions on either side of the equals sign. Imagine you are a teacher. Your job is to decide whether their work is right or wrong. If you see an equation that is false, then: Say it is False. Then how you know it is false. 2(n + 3) = 2n + 3 *

Answers

Answer 1

Answer/Step-by-step explanation:

Given that a student wrote the following equation:

[tex] 2(n + 3) = 2n + 3 [/tex]

Looking at the expression on both sides, they don't seem equal. To be sure, use any value to represent "n" in the equation. Then, simply. If what you have on your left is equal to what you have in your right, then the equation is TRUE. If otherwise, it is FALSE.

Let n = 2

[tex] 2(n + 3) = 2n + 3 [/tex]

[tex] 2n + 6 = 2n + 3 [/tex]

Plug in the value of n

[tex] 2(2) + 6 = 2(2) + 3 [/tex]

[tex] 4 + 6 = 4 + 3 [/tex]

[tex] 10 = 7 [/tex]

This is not FALSE. 10 ≠ 7.

Therefore, the equation written by the student is FALSE.


Related Questions

Hey guys, I was wondering if anyone would know the answer to this problem, What's the perimeter of a shape that's sides are 2 1/18, 2 2/9, and 2 1/18 and 2 2/9? I also attached a file of a screenshot if that helps. I desperately need help. The Answer has to be in a mixed number.

Answers

Answer:

https://brainly.com/question/26947898?answering=true&answeringSource=feedPublic%2FhomePage%2F1

Step-by-step explanation:

if its wrong then this

https://brainly.com

Answer:8 5/9 meters

Step-by-step explanation:

If you get a common denominator and add, 2 4/18 + 2 1/18 + 2 1/18 + 2 4/18 you get 8 10/18 which is 8 5/9 when simiplified.

The ordered pairs in the table below represent a linear function.
х
6
9
y
2
8
What is the slope of the function?
1
1
O
O 2
O 4

Answers

E the anwser is c

Step-by-step explanation:Finding Slope from a Table Worksheet Step-by-Step Example. 1 Find the change in the y-values by subtracting from one row to the next. 2 Find the change in the x-values by subtracting from one row to the next. 3 Divide the difference in the y-values by the difference in the x-values.

Which of the following statements is not true about the numbers 7 and -7?
They are opposite numbers.
They form a zero pair.
They have the same absolute value.
They have a sum of -14.

Answers

Answer:

incorrect is They have a sum of -14

If Tyrone eats 18 cookies , which repress 30% of the bag , then how many cookies are in the bag

Answers

5.4 cookies is it but if it makes you round then it’s 5

1) What is the slope (grade) of a road that rises 6 feet for every horizontal change of 600 feet?
a) 1
100
6) % 능
ce
d) 39
Choose

Answers

The answer is a I think

Write a situation for this equation and draw a picture that goes with it.
5 ÷ 6 = 5/6

Answers

Answer:

There should be 6 gaps and 5 of which are filled in.

Here is the situation

Your mom made a cake .She had distributed it among your 5 friends and you.How much part was distributed to your friends

B is the midpoint of AC, AB = 5x and BC = 3x + 4. Find the length of AC
O 2
010
0 20

Answers

Answer: 20 (Option C)

Step-by-step explanation: Since B is the midpoint, Just set 5x and 3x+4 congruent to eachother. After you find out x ( which is 2) just plug it in and add them to get AC.

What is the relationship between peace and Development​

Answers

Peace and development are complementary to each other. They are like two sides of a coin. In the absence of one other cannot exist. Peace means the absence of violence or other disturbances within a state whereas development is a result of peaceful environment. Development can be conducted only in a peaceful environment. If there is war, conflict and violence in the country then no development can be carried out. All the available means and resources goes in vain without its utilization. The state will focus on terminating war rather than conducting development works. This is why peace is important for development.

PLEASE HELP!!!!! All my points Picture below

Answers

Answer:

19. 13

20. 6

21. 12

Step-by-step explanation:

Brian took eight years to pay off his $71,900 loan. the loan had an interest rate of 8.16%, compounded quarterly. if brian paid quarterly and made the same payment every time, how much was each payment that he made? a. $2,342.66 b. $3,081.54 c. $1,022.28 d. $1,466.76

Answers

The Brian paid amount of every quarter is $ 4287.79.

We have given that Brian took eight years to pay off his $ 71,900 loan, had an interest rate of 8.16%, compounded quarterly,

we have to determine, if Brian paid quarterly and made the same payment every time, how much was each payment that he made,

P=71900

r=8.16

[tex]r=\frac{8.16}{100}=0.0816[/tex]

[tex]i=\frac{r}{n}=\frac{0.0816}{4}= 1.0204[/tex]

for eight years

[tex]4\times 8=32[/tex]

What is the formula for the monthly payment?

[tex]monthly payment=P((1+i)^n/n)[/tex]

Where p=present value

r=interest rate

m=number of compounding periods

n=m(t)

t=times in years

i=r/m

Therefore by using the formula we get,

[tex](71900 \times (1 + 0.0816 / 4) ^ {4\times8}) / (8 \times 4) = X[/tex]

[tex](71900 \times 1.0204 ^ {32}) / 32 = X[/tex]

[tex](71900 \times 1.9083) / 32 = X[/tex]

[tex]137209.2177 / 32 = X[/tex]

[tex]4287.79 = X[/tex]

Therefore, Brian paid $ 4287.79 every quarter.

To learn more about the monthly payment visit :

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Answer:

3081.54

Step-by-step explanation:

took test 20 mins ago

G
What is the value of -
IT

Answers

what are the numbers involved? or is it just letters?

A square piece of tissue paper has a perimeter of 164 centimeters. How long is each side of the tissue paper?​

Answers

Answer:

s = 41 cm

Step-by-step explanation:

Since all the sides on a square are equal, we can use this formula for perimeter:  P = 4s

Plugging in 164 gives us 164 = 4s, where solving for s gives us s = 41

The image shown has two triangles sharing a vertex:

There are two triangles labeled HJK and MLK with a common vertex K. In triangle HJK, angle JHK is labeled as y, and angle HJK is labeled as 65 degrees. In triangle MLK, angle MLK is labeled as 65 degrees.

What is the measure of ∠KML, and why?

y over 2 , because Triangle JHK is congruent to triangle LMK

y + 50 degrees, because Triangle JHK is similar to triangle MLK

115 degrees - y, because Triangle JHK is congruent to triangle LMK
y, because Triangle JHK is similar to triangle LMK

Answers

Answer:

The answer is D: "y, because Triangle JHK is similar to triangle LMK".

Step-by-step explanation:

Answer:

the answer is y, because Triangle JHK is similar to triangle LMK

Write 84 as a product of primes.
Use index notation where appropriate​

Answers

Answer:

2 x 2 x 3 x 7

Step-by-step explanation:

2x2=4

4x3=12

12x7=84

Mileage Abilene Dallas El Paso Lubbock San Antonio Abilene 185 447 165 261 Dallas 185 633 351 277 El Paso 447 633 344 558 Lubbock 165 351 344 394 San Antonio 261 277 558 394 Find the distance from San Antonio to El Paso. 344 mi 633 mi 261 mi 558 mi

Answers

The answer is B , because you add it all and divide then in makes more sense


The equation of the like below is y=1/2x-2
Which is the equation of the line that is perpendicular to ab and passes through the point a?

Answers

Answer:

y = -2x + 3

Step-by-step explanation:

Lines that are parallel have equal slopes but lines that are perpendicular have slopes that are opposite reciprocals.  The slope of the given line is [tex]\frac{1}{2}[/tex] so the slope of all perpendicular lines will be - 2.  The new line must pass through the point A(2, -1).  Using the formula y = mx + b and replacing y with -1 and m with -2 and x with 2 gives -1 = -2(2) + b.  This will simplify to -1 = -4 + b.  Adding 4 to both sides gives 3 = b so the equation is y = -2x+3.

Given that x=3sin​​θ-2 and y=3cos​​​θ+4.Show that (x+2)²+ (y-4)²=9​​​​​​

Answers

Answer:

First, plug-in x and y as 3sin​​θ-2 and 3cos​​​θ+4 into the equation, respectively:

[tex]((3\sin (\theta)-2)+2)^2 + ((3\cos (\theta)+4)-4)^2 = 9[/tex]

Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:

[tex](3\sin(\theta))^2+(3\cos(\theta))^2=9[/tex]

We can factor out 3^2 = 9 from both equations:

[tex]9(\sin(\theta)^2+cos(\theta)^2) = 9[/tex]

We know from a trigonometric identity that [tex]\sin(\theta)^2+cos(\theta)^2 = 1[/tex], meaning we can reduce the equation to:

[tex]9(1) = 9[/tex]

[tex]9=9[/tex]

And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sin​​θ-2 and y=3cos​​​θ+4.

Hope this helped you.

8x - 3 =33 as a decimal

Answers

Answer:

x=4.5

Step-by-step explanation:

8x-3=33

8x=36

x=4.5

Answer:

4.5

Step-by-step explanation:

8x-3=33

8x-3+3=33+3

8x=36

8x/8=36/8

x=4.5

Hope this helps! Pls give brainliest!

What is the name of the property given below ? If ab = 0 then a = 0 , b = 0 or both a = 0 and b = 0 . A. Zero property B. Distributive property O C. Zero product rule D. Commutative property

Answers

Answer:

c. zero product rule

Step-by-step explanation:

apex

I rlly need help on this

Answers

Answer:

what the question

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the side length of the base is 11.3 m and the height of the pyramid is 11.8 m. Round your answer to the nearest tenth of a cubic meter

Answers

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{11.3~\times~ 11.3}{127.69}\\ h=11.8 \end{cases}\implies \begin{array}{llll} V=\cfrac{(127.69)(11.8)}{3} \\\\\\ V\approx 502.2~m^3 \end{array}[/tex]

The graph represents the relationship between the number of employees scheduled per estimated customer at a restaurant.

The table represents the relationship between the number of employees scheduled per estimated customer at a grocery store

Answers

Answer: 8 8 4

Step-by-step explanation:the first one is 8 then 8 and then 4

The answers will be ;

a) No. of customers , one employee can help at restaurant is 5.

b) No. of customers , one employee can help at grocery store is 12.

c) The grocery rate of customer per employee is 7 more than restaurant's rate.

A graph for restaurant is given and a table for grocery store is given which represents relation of no. of employees per customer.

We have to solve the subparts of the given question.

What will be the rate if there are 12 customers per 2 employee at a shop ?

The rate at the shop will be 12 ÷ 2 or 6 customers per employee.

As per the question ;

Graph for restaurant is given and a table for grocery store is given.

a)

At restaurant ;

For 2 employees , no. of customers = 10

For 4 employees , no. of customers = 20

So ,

With increase of 2 in number of employees , no. of customers increases by 10.

No. of customers , one employee can help at restaurant is ;

= 10 ÷ 2

= 5 customers

b)

At grocery store ;

For 2 employees , no. of customers = 24

For 4 employees , no. of customers = 48

So ,

With increase of 2 in number of employees , no. of customers increases by 24.

No. of customers , one employee can help at grocery store is ;

= 24 ÷ 2

= 12 customers

c)

So ,

The restaurant rate of customers per employee = 5 customers/employee

The grocery store rate of customers per employee = 12 customers / employee

And

The grocery rate of customer per employee is more than restaurant rate by ;

= 12 - 5

= 7

Thus , the answers will be ;

a) No. of customers , one employee can help at restaurant is 5.

b) No. of customers , one employee can help at grocery store is 12.

c) The grocery rate of customer per employee is 7 more than restaurant's rate.

To learn more about rate click here ;

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Using the properties of similar triangles Find the height of the tree.

Answers

Answer:

h = 15 ft

Step-by-step explanation:

using the 2 similar triangles in the diagram then the ratios of corresponding sides are in proportion.

let h be the height of the tree

[tex]\frac{h}{5}[/tex] = [tex]\frac{24}{8}[/tex] = 3 ( multiply both sides by 5 )

h = 15 ft

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS

Answers

Answer:

answer c

Step-by-step explanation:

Simplify the following expression (3x^2-11x-4)-(x-2)(2x+3)

Answers

Answer:

[tex]x^2-10x+2[/tex]

Step-by-step explanation:

Given the following question:

[tex](3x^2-11x-4)-(x-2)(2x+3)[/tex]

To find the answer we need to simplify by using inverse operations and of course grouping like terms.

[tex](3x^2-11x-4)-(x-2)(2x+3)[/tex]
[tex]3x^2-11x-4-\left(x-2\right)\left(2x+3\right)[/tex]
[tex]\left(x-2\right)\left(2x+3\right)=-2x^2+x+6[/tex]
[tex]3x^2-11x-4-2x^2+x+6[/tex]
[tex]3x^2-2x^2-11x+x-4+6[/tex]
[tex]-4+6=2[/tex]
[tex]3x^2-2x^2-11x+x+2[/tex]
[tex]3x^2-2x^2=x^2[/tex]
[tex]x^2-11x+x+2[/tex]
[tex]11x-x=10x[/tex]
[tex]x^2-10x+2[/tex]

Your answer is "x^2 - 10x + 2."

Hope this helps.

Juan has scores of 85, 83, and 93 on three math
​tests. What is Juan’s average test score on these
​math tests?
​​

Answers

Answer:

80.5

Step-by-step explanation:

to find average you need to first added all your number then divide by how much numbers you added

For his art project, Alan needs to paint the outer surface of a six-sided rectangular box. If the box has a length of 4 ft, a width of 3 ft, and a height of 2 ft, how much total surface area will Alan need to paint?

Answers

Answer:

52 ft squared

Step-by-step explanation:

1. Draw the picture with measurements

2. Decompose each shape

3. Find the area of each (l*w)

4. Add each measurement up

Solve the equation -6 + 6n = 42 for n. A. -6
B. 2
C. 6
D. 8

Answers

Answer:

D. [tex]\displaystyle 8[/tex]

Step-by-step explanation:

[tex]\displaystyle -6 + 6n = 42 \hookrightarrow \frac{48}{6} = \frac{6n}{6} \\ \\ \boxed{8 = n}[/tex]

*We add six to both sides, then divide the remaining result by six, to get eight.

I am joyous to assist you at any time.

Hey there!

-6 + 6n = 42

6n - 6 = 42

ADD 6 to BOTH SIDES

6n - 6 + 6 = 42 + 6

CANCEL out: -6 + 6 because it gives you 0

KEEP: 42 + 6 because it help solve for the n-value


NEW EQUATION: 6n = 42 + 6


SIMPLIFY IT!

6n = 48


DIVIDE 6 to BOTH SIDES

6n/6 = 48/6

CANCEL out: 6/6 because it give you 1

KEEP: 48/6 because it help solve for the n-value (it actually give you the n-value)


NEW EQUATION: n = 48/6


SIMPLIFY IT!


n = 8


Therefore, your answer is: Option D. 8


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Do you guys know what the answer is ? Please I need help

Answers

Answer:

I believe it would be steepness only.

Please let me know if I'm incorrect :)

A circle has a diameter of 12 inches. what is the best approximation of it's area? use 3.14 to approximate for pi. 18.84in 39.14in 113.04in 452.16in

Answers

R=diameter/2=12/2= 6 inches

Area=πr²

Area=3.14×6²

Area=3.14×36

Area=113.04 inches²

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