HELP ME!!! Why is it possible to isolate the variable, x, in the equation 2x = 20 by using either the division property of equality or the multiplication property of equality?​

Answers

Answer 1

Answer: Because division is the inverse of multiplication.

Step-by-step explanation:

By multiplying the equation 2x=20 by 1/2  you will be able to eliminate the x variable,

For example,

1/2 * 2x = 20*1/2  

 x=  10  

The same way if  you divide both sides of the equation 2x=20 by 2 you will be able to to eliminate the x variable.

For example

2x = 20  Divide both sides by 2

x= 10  

As you can see 2 is the division inverse of 1/2.


Related Questions

18 divide by 2/3 ??????????

Answers

Answer:

30

Step-by-step explanation:

2/3 = .6

18/.6 = 30

Answer:

27

Step-by-step explanation:

If you want to divide a fraction, you have to divide it from it's reciprocal.

The reciprocal of 2/3 is 3/2.

Now, you have to multiply 3 and 18

18 x 3/2 = 54/2

54 divided by 2 is 27.

Hope it helped :>

what is blank plus 1/2 to equal 4

Answers

Answer:

either 3 1/2 or 7/2

Step-by-step explanation:

4 is equal to 8/2

8/2 minus 1/2 is 7/2

7/2 can be simplified to be 3 1/2

write 23/25 as a decimal

Answers

The answer is 0.92
Your welcome :)

Fill in the blank
answers parallel , congruent, opposite, quadrilateral, four ,four ,rhombus, connected right

pls help

Answers

Answer:

Quadrilateral

Four

Parallel

Four

Right

Congruent

Rhombus

Opposite

Connected

Step-by-step explanation:

i need help A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour?

Answers

Answer:

first of all i need to know the fractions and answer choices to answer this question.

PLEASE HELP ME ILL MARK BRIANLIEST I NEED IT ASAP!

Answers

Answer:

14(1/2-t)≤28

14(1-2t)/2≤28

14-28t≤28

-28t≤56-14

-28t≤42

t≤42/-28

t≤ -1.5

15k+11≤18k-5

15k-18k≤-5-11

-3k≤-16

k≤-16/-3

k≤-5.333

44y>11+88y-22y

44y>11+66y

44y-66y>11

-22y>11

y>11/-22

y>-0.5

7/9(b-27)>49/81

(7b-180)/9>48/81

81(7b-189)>9(49)

567b>441+15309

567b>15750

b>15750/567

b>27.78

Enter the numerator and denominator of a fraction in simplest form that is equivalent to 0.941941 Repeating.

Answers

Answer:

[tex]\frac{941}{999}[/tex]

Step-by-step explanation:

Let x = 0.941941........

Three digits are repeating. So, multiply both side by 1000

1000x = 941.941941......       (I)

       x =      0.941941....... (II)  {subtract equation (II) from (I)  }

 999x = 941

x = 941/999

Give an example of a set of ordered pairs that has five elements in its domain and four elements in its range.

Answers

Answer:

[ (-1,0) (0,0) (1,1) (2,2) (3,3) ]

Domain = { -1,0,1,2,3 }; Range = { 0,1,2,3 }

Step-by-step explanation:

Set or collection of ordered pairs is called 'Relation'. The ordered pairs are in terms f x & y coordinate.

Eg : [ (-1,0) (0,0) (1,1) (2,2) (3,3) ]

Domain is a set of all x axis values. Range is a set of all y axis values. They are arranged non repetitively in ascending order.

Domain = { -1,0,1,2,3 }

Range = { 0,1,2,3 }

As mentioned : the relation has been designed, as such to have five elements in its domain and four elements in its range

Consider the function below. g(x) = 4x − 1 Find the difference quotient below (where h ≠ 0) and simplify your answer. g(x + h) − g(x) -------------------- h

Answers

Answer:

The difference quotient is 4.

Step-by-step explanation:

Given that:

[tex]g(x) = 4x - 1[/tex]

To find:

Difference quotient = ?

where [tex]h \neq 0[/tex]

Solution:

Formula for Difference quotient is given as:

[tex]\dfrac{g(x+h)-g(x)}{h}[/tex]

First of all, let us find out [tex]g(x+h)[/tex]

Replacing [tex]x[/tex] with [tex]x+h[/tex]

[tex]g(x+h) = 4(x+h)-1 \\\Rightarrow g(x+h) = 4x+4h-1[/tex]

Now,

[tex]g(x+h)-g(x) = (4x+4h-1 )-(4x-1)\\\Rightarrow g(x+h)-g(x) = 4x+4h-1 -4x+1\\\Rightarrow g(x+h)-g(x) = 4h[/tex]

Putting the above value in:

[tex]\dfrac{g(x+h)-g(x)}{h} = \dfrac{4h}{h}[/tex]

We are given that, [tex]h \neq 0[/tex]

[tex]\therefore \dfrac{4h}{h} = 4[/tex]

So, the difference quotient is 4.

Simply this expression: -2+3-(5-6x)

Answers

Answer:

6x-4

Step-by-step explanation:

Answer:

-4-6x

Step-by-step explanation:

you would just combine -2 and 3 so you get 1 and then you would get 1-(5-6x) and you can just take away the parenthesis since in this case it doesn't matter and when you simplify that you get -4-6x

This diagram is a straightedge and compass construction. A is the center of one circle, and B
is the center of the other. Select all the true statements.
a. AC = BC
b. AC = BD
C. CD = AB
d. ABCD is a square
e. ABD is an equilateral triangle
f. CD = AB + AB

Answers

Answer:

Correct choices are a, b, e

Step-by-step explanation:

As per diagram, the circles are equal.

Since the distance AB is the radius of both circles:

AB = AC = BC = BD = AD = r

So the answer choices:

a. AC = BC

Correct, both equal to r

b. AC = BD

Correct, both equal to r

C. CD = AB

Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to  r√3/2, so CD = AB√3

d. ABCD is a square

Incorrect. ACBD is rhombus

e. ABD is an equilateral triangle

Correct, all three sides are equal to r

f. CD = AB + AB

Incorrect as CD = AB√3

3.3x10^5+44,000 in scientific notation? please please

Answers

Answer

4.4×10^4

For converting a number into scientific form just bring the decimal after the first non zero digit and write it with multiplier 10 raising to the number of places you moved the point

Step-by-step explanation:

Trisha wants to be a nurse practitioner or doctor for her future career. Which CTSO would be best for Trisha to join?

A. TSA
B. DECA
C. HOSA
D. FEA​

Answers

Answer:

C. Since she wants to be a nurse she'd go into the health and technology field.

Step-by-step explanation:

TSA  - Technology Student Association or Transportation Security Administration

DECA  - Defense Commissary Agency

HOSA  - Health Occupations Students of America

FEA​ - ?

Answer:

C. HOSA

Step-by-step explanation:

what is the answer to

-9 +(-2)

Answers

Answer:

-11

Step-by-step explanation:

Substarct 2 from -9.

Answer:

-11

Step-by-step explanation:

lets think about it this way, you owe 9, you also owe 2, so altogether you owe 11, which is -11

How much will it take to do a work of 190J with 15w power

Answers

Answer:

[tex]\Huge \boxed{\mathrm{12.67 \ s}}[/tex]

Step-by-step explanation:

[tex]\displaystyle power \ (W) = \frac{work \ done \ (J)}{time \ (s)}[/tex]

[tex]\displaystyle P= \frac{W}{t}[/tex]

[tex]\displaystyle 15= \frac{190}{t}[/tex]

Solve for t.

Multiply both sides by t.

[tex]15t =190[/tex]

Divide both sides by 15.

[tex]\displaystyle t= \frac{190}{15}[/tex]

[tex]t \approx 12.67[/tex]

[tex] \bf \underline{ \underline{given : }}[/tex]

Work = 190 J

Power = 15 W

[tex]\bf \underline{ \underline{To \: be \: calculated : }}[/tex]

Calculate the time ?

[tex]\bf \underline{ \underline{

Formula \: applied :}}[/tex]

[tex] \boxed{ \bf{Power = \frac{Work \: done}{Time} }}[/tex]

[tex]\bf \underline{ \underline{Solution : }}[/tex]

We know,

[tex]\sf {Power = \dfrac{Work \: done}{Time}}[/tex]

[tex] \sf{ Time = \dfrac{Work \: done}{Power } }[/tex]

Substituting the values of work and power, we get:

[tex] \sf \implies{Time = \dfrac{190}{15} }[/tex]

[tex] \sf\implies{Time = 12.66 \: s}[/tex]

Thus,the time taken by a body is 12.66 seconds.

order of operations

Simplify z+9(8−x)+8(z+8)=

Simplify (3−10)^2−(5−12)^2

Evaluate 2^2⋅4^3=​

Answers

Answer:

z+9(8−x)+8(z+8)=

z+72-9x+8z+64=

9z-9x+136

                                                                   

(3−10)^2−(5−12)^2     parenthesis first

(-7)²-(-7)²=

49-(49)=49-49=0

                                                                     

2^2⋅4^3      exponent first

2*2*4*4*4

4*64=256  

find the sum of -3/2 - 7/4 + 1/8

Answers

Answer: -25/8

Step-by-step explanation:

Answer:

The sum of -3/2-7/4+1.8 = -3.125

pineapples are on sale for $1.50 per pound. Let y be the total cost in dollars of x pounds of pineapple which equation represents the situation

Answers

Answer:

y=1.5x

Step-by-step explanation:

Step 1: State what you know

Pineapples are 1.50 per pound

X represents how many pounds of pineapples you want to buy

Y represents how much do 'x' amount of pineapples cost in dollars

Step 2: Write the equation

y (the price of 'x' pounds of pineapple)=1.5(the cost of a pineapple)x(how many pounds of pineapples you bought)

Therefore the equation that represents the problem is y=1.5x

Answer:

y=1.5x

Step-by-step explanation:

The original price of a toy was $400. It was increased by 20%. after some time the sale of toys decreased. So, the shop owner decided to decrease the price by 20%
What is the final price of the toy.

Answers

Hey! So, I could be wrong, but I’m pretty sure the price will stay at $400, since the increase was negated by the decrease.

Answer:

$384

Step-by-step explanation:

Original price = $ 400

Increased price  = 20% of 400

                           = [tex]\frac{20}{100}[/tex] * 400

                           = $  80

Price after increase = 400 + 80 = $ 480

Decreased price  = 20% of 480

                             = [tex]\frac{20}{100}\\[/tex] * 480

                            = $ 96

Price after decreasing 20% = 480 - 96 = $ 384

Final price of the toy = $ 384

Identify the roots of the equation x^2 = 9x − 14 by factoring. x = 2 or x = 7 x = −2 or x = 7 x = 2 or x = −7 x = −2 or x = −7

Answers

Answer:

x = 7, x = 2

Step-by-step explanation:

Given

x² = 9x - 14 ( subtract 9x - 14 from both sides )

x² - 9x + 14 = 0 ← in standard form

(x - 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and splve for x

x - 7 = 0 ⇒ x = 7

x - 2 = 0 ⇒ x = 2

Find the solution for the following equation: 3x = 45

Answers

Answer: x = 15

Step-by-step explanation: Since x is multiplied by 3, divide both sides

of the equation by 3 to get x by itself, and show all your work!

Put both sides of the equation over 3

and cancel out the 3's on the left side.

It's tempting to want to show off your

math skills by doing the work in your head.

Don't fall into this trap!

It's extremely important to develop the habit

of writing every step down on paper or digitally.

It will serve you very well for many years.

divide 45 by 3

answer : 15

Property can be used to remove the parentheses in the expression 1.7(x+9)

Answers

Answer:

The Distributive Property.

Step-by-step explanation:

1.7(x + 9)

= 1.7 * x + 1.7 * 9

= 1.7x + 15.3.

what is half the sum of x and y decreased by one-third y as a algebraic expression

Answers

Answer:

1/2(x+y) - 1/3

Step-by-step explanation:

I think this may be the answer based on the info you've given

Answer:

[tex]\frac{1}{2}(x+y) - \frac{1}{3}y[/tex]

Step-by-step explanation:

We can translate these words into an expression by just reading them and interpreting them.

Half the sum of x and y.

We know that it's going to include [tex](x+y)[/tex], and if we're taking half of that, we multiply that by [tex]\frac{1}{2}[/tex], so [tex]\frac{1}{2}(x+y)[/tex]

We also know that one third of y will be multiplying y by [tex]\frac{1}{3}[/tex], so [tex]\frac{1}{3}y[/tex].

Since we are decreasing [tex]\frac{1}{2}(x+y)[/tex] by  [tex]\frac{1}{3}y[/tex], there's a minus sign between the terms.

So, [tex]\frac{1}{2}(x+y) - \frac{1}{3}y[/tex].

Hope this helped!

Solve for x. Evaluate and round your answer to 1 decimal place (tenths place). 10x=3588

Answers

Answer:

x =3.6

Step-by-step explanation:

[tex]10^x=3588\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(10^x\right)=\ln \left(3588\right)\\x\ln \left(10\right)=\ln \left(3588\right)\\\mathrm{Solve\:}\:x\ln \left(10\right)=\ln \left(3588\right):\quad x=\frac{\ln \left(3588\right)}{\ln \left(10\right)}\\\\= 3.55485\\=3.6[/tex]

3(x+14)=42 plz need help now

Answers

Answer:

0

Step-by-step explanation:

So we have the equation:

[tex]3(x+14)=42[/tex]

Divide both sides by 3:

[tex]x+14=14[/tex]

Subtract 14:

[tex]x=0[/tex]

The value of x is 0

Answer: x=0

Step-by-step explanation:

Given

3(x+14)=42

Distributive property

3x+42=42

Subtract 42 from both sides

3x=0

Divide 3 on both sides

x=0

----------------------------------------------------

Given

3(x+14)=42

Divide 3 on both sides

x+14=14

Subtract 14 on both sides

x=0

Both ways are fine

Hope this helps!! :)

Is it possible to draw a quadrilateral with one pair
of congruent consecutive sides?
- yes or no

Answers

Yes, it is possible....

It is possible to draw a quadrilateral with one pair of congruent consecutive sides

How to determine the true statement?

A quadrilateral has four sides

The four sides can be congruent or not congruent

However, when a pair of consecutive sides are congruent, then the quadrilateral is a square

Hence, the statement is yes

Read more about quadrilaterals at:

https://brainly.com/question/22254043

#SPJ2

7.
I then took medicine prescribed by my doctor to help with my
fever. My fever went down 1.2 degrees every 4 hours. What is
my temperature after 12 hours?

Answers

Answer:

The answer would be 3.6 degrees less than the starting temperature.

Step-by-step explanation:

1.2 * 3 = 3.6

4*3 = 12

3.6/12 hours

what equation for 10-3x2+(7-4)

Answers

Answer:

13-6x

Step-by-step explanation:

10 - 3x ×2+(7-4)

10 - 6x+(7-4)

10-6x+3

=13-6x

N=1500(2^018t), t≥0 Find the initial number of cells (N) in the culture, given the exponential function.

Answers

Answer:

1500

Step-by-step explanation:

Step 1: Understand what the question is asking you

It wants to know how much cells do you start off with or in other words how much cells are in the culture when time is 0

Step 2: Set t = 0

[tex]N = 1500(2^{0.18(0)} )[/tex]

Step 3: Solve for N

[tex]N = 1500(2^{0.18(0)} )[/tex]

[tex]N = 1500(2^{0} )[/tex]

[tex]N = 1500(1 )[/tex]

[tex]N = 1500[/tex]

Therefore when the initial amount of cells there in the culture is 1500

what is the change in each termof the sequence? 5, -2, -9, -16, -23​

Answers

Answer:

-7

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

-2 - 5 = -7

Check by subtracting the second term from the third term

-9 - (-2) = -9+2 = -7

The common difference is -7

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Esta vez Gerardo ha requerido 5 servicios en total, por lo que se ha hecho acreedor a una promocin de $100 de descuento, cunto pagar Gerardo en total por sus servicios? The principal, Mrs. Integer tells Mrs. Apex to write down exactly what she is doing step by step. In the scientific method this is called ... a the conclusion. b the data. c the hypothesis d the observation e the procedure A prefix can have more than one syllable. true or false