Mathematics High School

Mrs. Stokes solved the equation shown below. Select the correct justification for each step shown.

-3(8x-2)=9-21x Original equation
8x-2=-3+7x
8x+1=7x
1=-x
-1=x

Answers

Answer 1

Answer:

Below in bold

Step-by-step explanation:

-3(8x - 2) = 9 - 21x

~Divide -3 to everything

8x - 2 = -3 + 7x

~Add 3 to both sides

8x + 1 = 7x

~Subtract 8x to both sides

1 = -x

~Divide -1 to both sides

-1 = x

Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.

Best of Luck!

Answer 2

Below in bold

Step-by-step explanation:

-3(8x - 2) = 9 - 21x

~Divide -3 to everything

8x - 2 = -3 + 7x

~Add 3 to both sides

8x + 1 = 7x

~Subtract 8x to both sides

1 = -x

~Divide -1 to both sides

-1 = x

Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.

Best of Luck!

Related Questions

Isaac bought 18 boxes of cereal. This is 30% of the total boxes at the store. How many total boxes of cereal were at the store?

Answers

Answer:

60

Step-by-step explanation:

30% of total boxes at the store is equal to 18

so

[tex](30 \div 100 ) \times x = 18 \\ x = 18 \times( 100 \div 30) = \\ 18 \times (10 \div 3) = \\ 6 \times 10 = 60[/tex]

The 18 boxes of cereal Isaac purchased. This represents 30% of all the boxes in the store then total boxes of cereal at the store exists 60.

What is meant by percentage?

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. To exstimate a percentage, you divide the portion of the whole by the whole itself and multiply by 100.

%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

The total no of boxes =  y × 100/x

Given x = 30%

y = 18 boxes

Total boxes at the store = 18 × 100/30 = 60

Therefore, the total boxes of cereal at the store exists 60.

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How many solutions exist for the given equation?

0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

zero
one
two
infinitely many

Answers

Answer:

its b lol

Step-by-step explanation:

jus got it right

There is only one solution which is x = -370 to the given equation 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20) option B is correct.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

We have a linear equation in one-variable:

0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

0.75(x + 40) = 0.7(x + 20)

75(x + 40) = 70(x + 20)

75x = 70x - 1600

x = -370

Hence, there is only one solution which is x = -370 to the given equation 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20) option B is correct.

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what do “ p “ equal n this equation p + 13 = 17

Answers

Answer:

4

Step-by-step explanation:

p + 13 = 17

this is one of my specialty finding the missing number

17 - 13 = 4

p = 4

Help needed ASAP will give brainliest and 5 stars rate not a test

Answers

Answer:

area square inches is less than 1.2

Step-by-step explanation:

n + 2 = -14 - n help please with work if possible:))

Answers

Answer:

N = -16.

Step-by-step explanation:

To solve this equation, you'll need to take the -2 over to the other side.

The equation will become [tex]n = -14 - 2[/tex]

So, N = -16.

Hope I helped :)

HELP PLEASE

Which expression would be easier to simplify if you used the associative
property to change the grouping?
A. 4+ (1.2+(-0.2))
B. (2+ $) + 4
C. 85+ (120 + 80)
O D. (-40+ (60)] + 52

Answers

Answer:

c

Step-by-step explanation:

im not for sure but i think its c

Answer:b

Step-by-step explanation:

Help Please! Solve For X In The Diagram.

Answers

Answer:

[tex] \boxed{x = 11.}[/tex]

Step-by-step explanation:

[tex]180 - (7x - 7) + 50 + (x + 9) = 180 \to sum \: of \: angles\\ - 7x + 7+ 50 + x + 9 =0 \\ 6x = 66 \\ x = \frac{66}{6} \\ x = 11.[/tex]

♨Rage♨

Can I get the answer?

Answers

Answer:1 by the 2

Step-by-step explanation:Good job

what does “ z “ equal in this equation z + 18 = 26

Answers

Answer:8

Step-by-step explanation:

Answer:

z = 8

Step-by-step explanation:

you have to work it backwards. 26-18=8

Solve the system.
4x - 2y + 3z = -3
2x - 3y + 2z = 1
6x + 10Z = -2
Enter your answer as an ordered triple.​

Answers

X= -2
Y= -1
Z= 1
You may use solve this problem by substituting the values as well. If everything goes wrong , go for Cramer’s rule

A furniture store buys a couch for $800. They mark up the price by 30%. At what price does the furniture store sell the couch?

A. $240

B.$560

C.$1040

D.$1360

Answers

it would be C, you add 800$ plus 30%

Robert wants to buy a new coat for $117.

He was offered a discount on this price of 25%.

He then has to pay 8.75% sales tax on the discounted price.

Which expression represents the best strategy for estimating the final cost of the coat?

Answers

Answer Choices:

A.120 ×0.75 ×1.1

B.120×0.25×0.9

C.120× 0.25× 1.1

D.120× 0.75 ×0.9

Answer

A.)

(117·0.25)=n

117-n=87.75·0.0875=m

87.75+m=95.43

Step-by-step explanation:

117-25%=87.75+8.75%=95.43

Will give brainliest whoever answers asap plz it’s.active please
Hurrreyyyy

Answers

1.A
2.B
i think not for sure
1. Factor the first equation.

7x³−11x²−14x+16

7x³−14x²+3x²−6x−8x+16

7x²(x-2)+3x(x-2)-8(x-2)

(x-2)(7x²+3x-8)

2. So this is as far as we have to go because as we can see x-2 is a factor of the equation.

3. Factor the second equation.

7x⁴+22x³+2x²+11

4. As we can see this equation isn’t factorable, so which means that this equation can’t have an exact root so which means x+3 is not a factor for the second equation.

Final answer:
1. B
2.A

2. Which property is being used in the second line?
line 1: (4.5.-1). -6
line 2: 4.5 .(-1.-6)
line 3: 4.5 .6
line 4: 27
O A. Distributive
O B. Commutative
O C. Associative
O D. Additive Inverse

Answers

Answer:

C associative to associate both of them

HELP HAVING BAD DAY
Find the value of b if the graph of the equation y=−5x+b goes through the G(4, 3) point.

Answers

Answer:

b = 23

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y = -5x + b

G(4, 3)

Step 2: Find y-intercept b

Substitute point: 3 = -5(4) + bMultiply: 3 = -20 + bAdd 20 to both sides: 23 = b

Step 3: Write linear equation

y = -5x + 23

Answer:

The answer is y=-5x+21.5 --- B=21.5

Step-by-step explanation:

Pls Mark Brainliest

an 8 inch candle burns 1/4 inch every hour. a 12 inch large candle burns 1/2 inch every hour. after how many hours will the two candles be the same height?

Answers

Answer:

69

\

Step-by-step explanation:

Solve 6kx = 4kx + 8 for x.
Start by collecting the variable terms on the same side of the equation.

What is the first step?

Answers

Answer:

x = 4k

Step-by-step explanation:

6kx = 4kx + 8

The first step in solving for x is to get both numbers with kx on the same side. Move the 4kx to the left side of the = by subtracting 4kx from each side.

2kx = 8

Next, move the 2k to the right side of the = by dividing both sides by 2k

x = 8/2k

The last thing to do is to simplify the equation by making the 8/2 to 4/1 or 4.

x = 4k

A store sells two types of toys, A and B. One unit of toys A yields a profit
of $2, while a unit of toys B yields a profit of $3. The store owner, Anthony, estimates that no more than 2000 toys will be sold every month. Anthony pays $8 and $14 for each one of toy A and B respectively. He also does not plan to invest more that $25,000 in inventory of these toys. Identify the variables.

x = profit
y = toys

x = Toy A
y = Toy B

x = Toy A
y = profit

x = Toy B
y = Toy A

Answers

Answer:

Step-by-step explanation:

a b

2+2-9+9+234-89+2747-3+902/3892+7y+9y Does anybody know this answer? My teacher put this as homework.

Answers

Answer:

1296 m^2

Step-by-step explanation:

I searched the answer up I wish you best of luck with your homework

9 — 3x = у
3х – у = -2

Answers

Answer:

This could be wrong, but i still wanted to help you.

Step-by-step explanation:

9-3x=y

+9      +9

3x=y

÷3   ÷3

x=y/3

Im sorry if this is wrong

Solve
x+(x+1)+(x+2)=168

Answers

Answer:

x = 55

Step-by-step explanation:

x+(x+1)+(x+2)=168

3x+3=168

3x=165

x=55

The answer is X=55 ;)

The dimension of a laying block is 6m ×4m×2m .find the total surface area of the block​

Answers

See attachment for math work and answer.

Bottom price for the last post!!!.!

Answers

I can’t see your last post. It doesn’t work like that. You need to make a new post containing everything

Which of the following statements are always true about matrices?

Two matrices are equal if they are both square matrices.

Two matrices with different sizes cannot be equal.

A 2 x 3 matrix has 2 rows and 3 columns.

Two matrices are equal if their corresponding elements are equal.

Answers

Answer:

B, C, D

Step-by-step explanation:

edge 2023

What is 4x+7=39

Solve for two step equation.

Answers

Answer:

8

Step-by-step explanation:

Step 1:

4x + 7 = 39      Equation

Step 2:

4x = 32     Subtract 7 on both sides

Step 3:

x = 32 ÷ 4      Divide

Answer:

x = 8

Hope This Helps :)

Plz Help will give major points and brainliest.

Answers

Answer:

see below

Step-by-step explanation:

a) The unknown is the price of a large pizza

b)  Each pizza cost is positive,

c) The the price of a pizza be p,

so the price of one pizza is p

d) The expression is  

6 pizzas minus 3 dollar off each pizza

6p -3p

e) Set this equal to the total cost

6p -3p= 38.94

f) Combine like terms

3p = 38.94

Divide each side by p

3p/3 = 38.94/3

p = 12.98

The price of each pizza before discount is 12.98

Tiffany ate 1/4 of a pizza. If there were 16 slices of pizza to begin with, how many slices did Tiffany eat?​

Answers

Answer:

Tiffany ate 4 slices of pizza

Step-by-step explanation:

1/4 of 16 is 4

Tiffany ate 4 slices of pizza.

What is fraction?

" Fraction is a representation of a part of whole object which is divided into equal parts."

According to the question,

Total number of pizza slices = 16

Part of pizza ate by Tiffany   = 1 / 4

Therefore,

Number of slices Tiffany ate = ( 1/ 4) of 16

                                                = (1 / 4) × 16

                                                = 4 slices of pizza

Hence, Tiffany ate 4 slices of pizza.

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HELP FAST! I need help with this math problem. A, B, C or D?

Answers

Answer:

d

Step-by-step explanation:

A plumber charges $55 for service call, plus $35 per hour. If the plumber’s bill was $160 then how many hours was he there

Answers

55 for service call
35 per hour

Total 160

55 + 35 (3)
55 + 105
160

He was there for 3 hours

Answer:

4:50 hour

Step-by-step explanation:

If it only for the hours he was there you will do 35/160 4:50

16) Which of the following best represents the
range of the graph below?
A) -3 5 y 38
C) y22
B) y2-3
D) All real numbers

Answers

I think it is B because it has a continuous line soy it couldn’t be a. It has negative numbers so it couldn’t be D. And it has negative numbers so couldn’t be C
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