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 *

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.

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

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.

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Answer:

I believe it would be steepness only.

Please let me know if I'm incorrect :)

Answer:

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

Step-by-step explanation:

if its wrong then this

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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.

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

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.

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:)

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.

Answer:

c. zero product rule

Step-by-step explanation:

apex

Answer:

2 x 2 x 3 x 7

Step-by-step explanation:

2x2=4

4x3=12

12x7=84

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!

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

Answer:

what the question

Step-by-step explanation:

[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]

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.

Answer:

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

Here is the situation

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

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

Answer:

answer c

Step-by-step explanation:

Answer:

incorrect is They have a sum of -14

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]

[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.

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Answer:

3081.54

Step-by-step explanation:

took test 20 mins ago

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.

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

Area=πr²

Area=3.14×6²

Area=3.14×36

Area=113.04 inches²

Answer:

19. 13

20. 6

21. 12

Step-by-step explanation: