What property of operations is used to show that 12x + 6y is equivalent to(2x + y)?

Answer:

3x+45=180

3x=180-45

x=135/3

x=45

(y-4)=45

y=45+4

y=49

Answer:

x=45° and y=49° (180°in a straight line, co-interior angles add up to 180°)

Step-by-step explanation:

There are 180° in a straight line so 180°-45=135, 135=3x

135 divided by 3= 45, so x=45°, then because co-interior angles always add up to 180°, 45+ the missing angle=180, 180-45=135, so the angle next to angle (y-4) is 135°.

Then, solving the equation u have 135+(y-4)=180 because there are 180° in a straight line.

The equation ends up as y=49°

Answer:

$7886.16

Step-by-step explanation:

If the balance increases by 4%, it will be 104% of the original amount.  104% as a decimal is 1.04.  Therefore, to calculate the balance with annual compound interest applied, multiply the balance of the account by 1.04 each year.

As Hei makes additional deposits of $1,400 for each year after the 1st year, add $1,400 to the account balance from year 2 onwards before adding the interest.

Let A = account balance

After 1 year

A = 1400 × 1.04 = $1456

After 2 years

A = (1456 + 1400) × 1.04 = $2970.24

After 3 years

A = (2970.24 + 1400) × 1.04 = $4545.05

After 4 years

A = (4545.05 + 1400) × 1.04 = $6182.85

After 5 years

A = (6182.85 + 1400) × 1.04 = $7886.16

Therefore, after 5 years her account balance will be $7886.16

Answer:

ok so x is her currect age y is her age in 20 years

2x+6=y

x+20=y

that means that both sides are equal

2x+6=x+20

-6

2x=x+14

-x

x=14

so her currect age is 14 and lets plug in

14+20=34

her currect age is 14 and her age in 20 years is 34

Hope This Helps!!!

Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Amelia is using substitution to determine if 8 is a solution to the equation.  The equation which is Amelia is solving  for a = 8 is,

[tex]6a = 42[/tex]

First, Amelia must substitute 8 for the variable using parentheses as,

[tex]6(8) = 42[/tex]

To simplify, Amelia must. multiply 8 by 6.

[tex]48 \neq 42[/tex]

The left hand side of the eqqation is not equal to the right hand side. Thus, 8 is not a solution of the equation.

Thus, Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Answer:

it is a

Step-by-step explanation:

Answer:

x>6

Step-by-step explanation:

3x>18

x>6

Any number over 6 can satisfy this inequality.

Answer:

15x + 25 = y

Step-by-step explanation:

$25 is a fixed cost and will have to be paid if the plumber comes and $15 times the number of hours it takes to do the repair is the variable cost. 'x' in this case is the number of hours. So the equation will be 15x + 25 = y

Answer:

  x = 43°

Step-by-step explanation:

The three angles to the right of the diagonal line add up to give the angle measure of the line:

  x +90° +47° = 180°

  x = 43° . . . . . . . . . . . . . subtract 137° from both sides

[tex]x^2+2x\\\\\text{If x = 3,}\\\\3^2 + 2(3) = 9 + 6 = 15[/tex]

Answer:

10(x - 12)

Step-by-step explanation:

10(x - 12)

10x - 120 Distributive Property

Answer:

negative reciprocals of each other

Step-by-step explanation:

internet

Answer:

The answer is D) eighteen thirds.

Step-by-step explanation:

9/1 times 2/3

equals 18/3

18/3 is "eighteen thirds"

Using proportions, considering the daily penalty fee paid, it is found that he will pay $50 altogether.

A proportion is a fraction of a total amount.

In this problem, since he will spend $285.00, having $277.00, he will be $8.00 in debt.

He will pay a penalty fee of $7.00 per day for 6 days, along with the $8.00, hence the total payment in dollars will be given by:

P = 6 x $7.00 + $8.00 = $50.00.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

Step-by-step explanation:

a and b are the parallel sides of the trapezoid.

In the graph, each unit = 2

a = 8 & b= 4

height = h = 8

[tex]\bf \boxed{ \text{Area of trapezoid = $\dfrac{(a+b)*h}{2}$} }[/tex]

                              [tex]\bf = \dfrac{(8+4)*8}{2}\\\\\\ = \dfrac{12*8}{2}\\\\\\ = 6*8\\\\ = 48 \ square \ units[/tex]

Answer:

should be 42

Step-by-step explanation:

The number of ways the first group of three wolves (necessary to include the male wolf) is given by: Option A: 28

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

For the considered case, we have:

So 2 spaces are remaining and are to be filled by 2 of 8 wolves.

Assuming that all 8 of them are distinguishable, choosing 2 of them is done in [tex]^8C_2 = 28[/tex] ways.

The first process of choosing male wolf for first place is done in 1 way only.

And the second process of choosing 2 female wolves can be done in 28 ways(ordering doesn't matter),

and since first and second process have no necessary order, using product rule, we get;

Number of ways of forming first group of wolves = [tex]1 \times 28 = 28[/tex] ways.

Thus, the number of ways the first group of three wolves (necessary to include the male wolf) is given by: Option A: 28

Learn more about product rule here:

https://brainly.com/question/2763785

Answer:

The above answer is correct! The right answer is option A. 28 :)

Hope this helped! Brainliest would be greatly appreciated :D

Step-by-step explanation:

-6

Step-by-step explanation:

First we see 3 is greater than the subject so 3<x 3-9 = -6

Answer: I think its 8

Step-by-step explanation:

Answer in order:

False

True

False

False

False

False

False

True

True

Step-by-step explanation:

All of the solutions to the equation[tex]3x^2 - 12 = 0[/tex]are x = 12 and x = -12

Solve:

Common factor - [tex]3(x^2-4)=0[/tex]

Divide both sides

[tex]x^2-4=0[/tex]

Use the quadratic formula

[tex]x=\sqrt{4,x}=\sqrt{-4[/tex]

x = 2, x = -2

Thus, This is false..

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There are two unique solutions to the equations (x-3)^2 = 16

one variable in matrix = one possible value.

Therefore, x = 7, x = -1

Hence this is True

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The solutions for the equation 2(x-3)^2-18 = 0 are x = 6 and x = 0

[tex]2x^3-18x^2+54x-72=0[/tex]

[tex]x=5.080084[/tex]

Hence this is false

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The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7

Add both sides by 8

2(x-5)^2-8+8=0+8

2(x-5)^2=8

(x-5)^2=4

x = 7, x = 3

Hence, this is false

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The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8

[tex](x+3)^2=17[/tex]

[tex]x=\sqrt{17-3,}=-\sqrt{17}-3[/tex]

Hence this is false.

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The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4

[tex](2x-1)^2=9[/tex]

x=2, x = -1

Hence this is false.

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

The only solution for equation (2x-1)^2-49=0 is x = 4

[tex](2x-1)^2=49[/tex]

x = 4, x = -3

Hence, this is false

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The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1

[tex]3(x+2)^2=3[/tex]

[tex](x+2)^2=1[/tex]

x = -1, x = -3

Hence, this is true

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The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x  = -6

Add 180 to both sides

[tex]5x^2-180+180=0+180[/tex]

[tex]5x^2 = 180[/tex]

[tex]x^2 = 36[/tex]

[tex]x=\sqrt{36},x=-\sqrt{36}[/tex]

x = 6, x = -6

Hence, this is true.

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[RevyBreeze]

[tex]\dfrac{0.63}{0.21}=\dfrac{0.63 \times 100}{0.21 \times 100}=\dfrac{63}{21}=\dfrac{21 \times 3}{21}=3[/tex]

Answer: in the file

Step-by-step explanation: in the file

Answer:

The correct answer is actually D

Step-by-step explanation:

i am 100% correct because i just answered this

See

Two equally packed snacks means

So if no of friends be 5

Option D

Answer:

Evaporation is when liquid turns into a gas or vapor.

This process happens to almost any body of water under the right conditions, including swimming pools.

This means, as a pool owner, you lose a measurable amount of pool water every day through evaporation. Several thousands of gallons of water per year for an average residential pool, in fact.

Step-by-step explanation:

Step-by-step explanation:

class 6 to 8 students come here I will give you notes class is started come here fast I am waiting come with your name and class i am also girl come please please please please please please

Answer:

148°or 4x

Step-by-step explanation:

For a four sided Polygon (quatrilateral) the measure of four angles=360

Therefore,

2x+3x+4x +(x -10)=360

9x+x-10=360

10x-10=360

10x=360+10

10x=370

x=37

Therefore all angles are

74, 111, 148, 27

Therefore, largest angle = 148°

Answer:

5/11.

Step-by-step explanation:

The number of ways 2 balls can be selected = 12P2

= 12!/10!

= 12*11

= 132.

There are 6 even numbers and 6 odd numbers in the bag.

If both numbers drawn are even there are 6P2 = 30 ways that sum is even.

If the 2 numbers are odd there are also 30 ways that sum is even.

Any other combination wil be odd.

So the required probabilit = 2(3) / 132

= 60/132

= 5/11.

Answer:

15.4 minutes :)

Step-by-step explanation:

We need to turn the percentage into a decimal first :)

27/100 = 0.27

Now we multiply it by 57 to see how much time has gone by!! :)

0.27 x 57 = 15.39

Now to finish, we round!

9> 5

So 3 becomes 4

She has been on the treadmill for 15.4 minutes!

Now you know how to solve this type of problem!!

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

1/64

Step-by-step explanation:

The probability of both dice being a 1 is 1/8 * 1/8 = 1/64

Step-by-step explanation:

linear pair

linear pair

alternate angles.

alternate angles

cointerior angles

I will hope that you like my answer

Answer:

is there a picture to answer?

Step-by-step explanation: