1 What is an appropriate "2nd step" when solving the equation below? 2/3x - 8= 12 Add 8 to each side. Divide both sides by 3. Multiply both sides by 2. Multiply both sides by 3/2.

Answers

Answer 1

Answer:

multiply both sides by [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] x - 8 = 12

first step

Add 8 to both sides

[tex]\frac{2}{3}[/tex] x = 20

second step

Multiply both sides by [tex]\frac{3}{2}[/tex] to clear the fraction

x = [tex]\frac{3}{2}[/tex] × 20 = 30


Related Questions

Eric's cell phone service costs $40.00 a month for unlimited calls. He also pays $0.02 for each text message he sends.

Which equation represents the total cost, C. in dollars, for a month when Eric sends text messages?

O A C = 40.021

O B C = 40 -0.021

OC C = 0.021 - 40

OD. C = 0.021 + 40

Answers

Answer:

A. 40.021

Step-by-step explanation:

Unlimited calls = $40

Text message = $0.021

NOTE:There is a difference between the value you gave for cost of text messages in the question and the values given in the group of answers. I will use $0.021 for cost of text messages since it is common to all answer choices.

Total cost = Cost of unlimited calls + cost of text messages

C = $40 + $0.021

= $40.021

Therefore, the equation which represent the total cost in dollars for a month is 40.021

A. 40.021

Answer:

he is right^ A.

Step-by-step explanation:

Jasmine needs to make a bouquet of 24 yellow and orange carnations. The ratio of yellow carnations to all of the carnations must be 1 to 3. She determines that she will need 8 orange carnations for the bouquet. Which statement correctly describes her error?

Answers

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Emily is thinking of a number, which she calls n. She finds 1/4 of the number and then subtracts 3.

Answers

Answer:

n/4 - 3 OR 1/4n - 3

Step-by-step explanation:

First, let's assign a variable to Emily's number.  Let is be x.

Now all we have to do is go through the problem step by step.

"She finds 1/4 of the number..."

There are two ways you can do this.  You can either multiply n by 1/4 (1/4n), or you can divide by 4 (dividing by four is the same as finding 1/4 of a number).  For this example let's divide by four

n/4

"...and then subtracts 3."

All we have to do is subtract 3 from n/4

n/4 - 3

REMEMBER: like I said, there are two possible options.  You can either have n/4 or 1/4n. They mean the same thing

Answer:

1/4n - 3

Step-by-step explanation:

HELP ASAP!! Verona is solving the equation –3 + 4x = 9. In order to isolate the variable term using the subtraction property of equality, which number should she subtract from both sides of the equation? a. –4 b. –3 c. 3 d. 4

Answers

Answer:

C, 3

Step-by-step explanation:

you add 3 then divide by 4

If 5 n · 5 3 = 5 6 , then n is _____.

Answers

Answer:

n = 109/ 5 if the expression is 5n - 5.3 = 56

a scientist wants to study 24 stars he studies 1/3 of them one week and 1/4 of them next week how many of them are left to study?

Answers

6 because 1/3 of 24 is 8 and 1/4 of 8 is 6

2 lines intersect. Where the 2 lines intersect, 4 angles are created. Labeled clockwise, from uppercase right: angle 1 (3 x minus 1) degrees, angle 2 is blank, angle 3 (2 x + 9) degrees, and angle 4 is blank. What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.

Answers

Answer: angle 1 and 3 measure 29 degrees.

angle 2 and 4 measure 151 degrees.

Step-by-step explanation:

Reduce the fraction into simplest terms. 9/12

Answers

Answer:

3/4

Step-by-step explanation:

divided by 3 to get the answer.

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

9 can also be written as 3×3 & 12 can also be written as 3×4.

So if we gonna cancel out a 3 from 9 & 12 , then the remaining numbers in 9 & 12 will be 3 & 4.

[tex]\frac{9}{12}=\frac{3*3}{3*4} = \frac{3}{4}[/tex]

8. Write `6.43\cdot10^{3}` in standard notation

9. Write `8.456\cdot10^{7}`

10. Write `8\cdot10^{5}` in standard notation

11. Write `9\cdot10^{10}` in standard notation

12. Describe how you would write 3,482,000,000 in scientific notation as if you were explaining it to someone who didn't know what scientific notation was.

Answers

just move the decimal point where the exponent indicates

there are no negative exponents here so none of these numbers will be decimal:

8. 6430,  moved the decimal point 3 places to the right

9. 84560000 moved the decimal point 7 places to the right

10. 800000  (six zeros)

11. 90000000000 (ten zeros)

12. 3.482^9 (I'll use this one as example)

To convert a number to scientific notation, move the point just after the first number from left to right (that is not zero), remove the zeros that are from right to left if there are any (for example, if you have 45002 it is not needed to remove any because there is a significant number is in front of the two zeros, instead, if we have a number like 2046000, the last three zeros are removed).

there you will have the number: 3.482

Then, count how many places the point moved (in the original number) and that will be the exponent

3,482,000,000

moved 9 places

this isn't a decimal number so the exponent will be positive

3.482^9

Jordan borrowed some money from his friend in order to help buy a new video game
system and agreed to pay the friend back a constant amount each week. Jordan
originally borrowed $120 from his friend and after 2 weeks, he still owed his friend
$90. Write an equation for L, in terms of t, representing the amount Jordan owes
his friend after t weeks.

Answers

Answer:

l=-15t+120

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The equation represents representing the amount L owed after t weeks.

L = 120 - 15t

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total amount borrowed = $120

Amount left to pay after 2 weeks = $90

This means,

In 2 weeks the amount paid.

= 120 = 90

= $30

The amount paid per week is constant.

2 week = $30

Divide both sides by 2.

1 week = $15

Now,

The equation represents representing the amount L owed after t weeks.

L = 120 - 15t

Thus,

The equation represents representing the amount L owed after t weeks.

L = 120 - 15t

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

jessica increases the temperature of a block of ice by 20º. Which integer represents the amount by which Jessica must change the temperature for the block of ice to return to its starting temperature?

Answers

Answer:

-20

Step-by-step explanation:

Answer:

it is -20

Step-by-step explanation:

He repartido mi colección de canicas entre mis tres amigos. A thales le he dado 1/5 del total, a arquimedes un 1/3 del resto y por último a pitagoras le he regalado las 16 canicas que me quedaban

Answers

Answer:

Ok, supongamos que en total hay N canicas.

1/5 de esas canicas se le dieron a Thales.

Entonces el resto ahora es:

1 - 1/5 = 4/5.

1/3 de esas canicas se le dieron a Arquimedes.

Entonces Arquimedes recibe:

(1/3)(4/5) = 4/15 de las canicas totales.

El resto, que eran 16, se le dieron a Pitagoras.

Ahora, las dos primeras entregas fueron:

1/5 + 4/15 = 3/15 + 4/15 = 7/15.

El resto seria:

1 - 7/15 = 8/15.

Y sabemos que el resto es igual a 16 canicas, entonces tenemos que:

(8/15)*N = 16.

De aca podemos calcular el numero total de canicas.

N = 16*(15/8) = 30

Esto quiere decir que inicialmente hay 30 canicas.

Thales recibe 30*(1/5) = 7 canicas.

Arquimedes recibe 30*(4/15) = 8 canicas.

Pitagoras recibe 16 canicas.

Evaluate this expression -|-3|

Answers

Answer: absolute value: -3

answer without absolute value: 3

Step-by-step explanation:

Since it has absolute value signs, you will take it out of it and since it is a - (-) it turns the 3 positive, however in absolute value form it is -3

Answer:

-3

Step-by-step explanation:

-l -3 l

-l 3 l

-3

hope this helps

HEY GUYS HELP I HAVE NO CLUE AND I HAVE TO TURN IT IN AT 25 MINUETS

Answers

Answer:

elevator 1 ends at floor 23. Elevator 2 ends at floor 42.

Step-by-step explanation:

In this diagram, how many points are coplanar with points A, B and R?
four
six
two
one

Answers

I think the correct answer is 4

Please I will mark brainlist list
Based on the patten in the table what is the value of a?
-64
-12
1/16
1/64

Answers

1/64. Because 2 raised to the -6 power is 1/64 and its in fraction form. It wouldn’t be -12 because you do Not multiply 2 and -6 together. It wouldn’t be -64 or 1/16 either.

the cube root of 64 ​

Answers

Answer:

Step-by-step explanation:

The 3rd root of 64, or 64 radical 3, or the cube root of 64 is written as 3√64=4.

4 is the correct answer

- Make T the subject of the formula l=gt/4π²​

Answers

Answer:

[tex]t = \frac{4\pi {}^{2} l}{g} [/tex]

Step-by-step explanation:

[tex]l(4\pi ^{2} ) = gt \\ \frac{4\pi {}^{2} l}{g} = t \\ t = \frac{4\pi {}^{2} l}{g} [/tex]

Marcus drives 32 miles to work each day. He records the number of minutes it takes to drive and writes his average speed as the input and the number of minutes as the output. He recorded his information in a table.

Answers

Answer:

1-1 Relations and Functions Marcus drives 32 miles to work each day. He records the number of minutes it takes him to drive and writes his average speed as the input and the number of minutes as the output. He recorded his information in a table, like the one shown below. Speed (mph) 60 45 55 Time (minutes) 32 43 35 50 62 38 31 If Marcus drives no faster than 65 miles per hour, what is the domain that includes all possible average speeds using interval notation? A 10.65) B (65) C (0.65) D. (65

Jade wants to verify that the expression 5(3x – 6) is equivalent to 15x – 30. She substitutes 2 into each expression and evaluates each one. How will she know if 5(3x – 6) is equivalent to 15x – 30?
They are equivalent if the two values are the same.
They are equivalent if the value for 5(3x + 6) is greater.
They are equivalent if the value for 15x + 30 is greater.
They are equivalent if one value is negative and the other value is positive.

Answers

Answer:

They are equivalent if the two values are the same.

Step-by-step explanation:

i got it right on the test

Answer:

A

Step-by-step explanation:

Can someone help me ASAP pleaseee

Answers

Answer:

y = 8x - 26

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, - 2) and (x₂, y₂ ) = (4, 6)

m = [tex]\frac{6+2}{4-3}[/tex] = 8 , thus

y = 8x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 6) , then

6 = 32 + c ⇒ c = 6 - 32 = - 26

y = 8x - 26 ← equation of line

the correct simplified form of 2y5+4y5−3y3−5y3

Answers

Hey there! I'm happy to help!

Numbers with the same variable and exponent are like terms and can be simplified.

[tex]2y^5+4y^5=6y^5[/tex]   (variable is y, exponent is 5)

[tex]-3y^3-5y^3=-8y^3[/tex] (variable is y, exponent is 3)

So, our final simplified form is [tex]6y^5-8y^3[/tex].

Have a wonderful day! :D

answerers about Caca Andika from Indonesia

show all steps for 4.7x+90=5.6x+2.1x

Answers

Answer:

x=30

Step-by-step explanation:

4.7x+90=5.6x+2.1x4.7x+90=7.7xSubtract 4.7 on both sides 3x=90x=30

expanded form using fractions 1/100

Answers

Answer:

Standard form: 1

Step-by-step explanation

expanded notation form: 1

expanded factors form: 1x1

expanded exponential for 1x 10^0

Is -2.7 an irrational number

Answers

Yes it is a irrational number

The endpoints of AB¯¯¯¯¯¯¯¯ are A(9,−4) and B(5,5). Find the coordinates of the midpoint M. Coordinates of midpoint M: ( , )

Answers

Answer:

Step-by-step explanation:

(9 + 5)/2= 14/2= 7

(-4 + 5)/2= 1/2

(7, 1/2) Coordinates of Midpoint M

50 POINTS IF YOU CAN HELP! ASAP

Answers

Answer:i don’t even see the question... what is is?

Step-by-step explanation:

True or False: A slope of 0 means the line dosen't move up or down, it is flat​

Answers

Answer:

Step-by-step explanation: yes

102 + 7y = 16
15x + 8y 29
Is this consistent or inconsistent

Answers

Answer:

Step-by-step explanation:

18y

I need help understanding this ASAP PLZ!!!!

Answers

Answer:

[tex]x\geq -2[/tex]

Step-by-step explanation:

well the values for x are from -2 to ∞

so we can write it as

[tex]x\geq -2[/tex]

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