What is Which equation correctly demonstrates the Distributive Property? F. $a\left(b+c\right)=ab+c$ G. $a\left(b+c\right)=ab+ac$ H. $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$ I. $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$

Answers

Answer 1

Answer:

[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]

Step-by-step explanation:

Given

[tex]F.\ $a\left(b+c\right)=ab+c$[/tex]

[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]

[tex]H.\ $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$[/tex]

[tex]I.\ $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$[/tex]

Required

Which of the options shows Distributive Property

Distributive property states that

For: [tex]a(b + c)[/tex]

The equivalent is: [tex]ab + ac[/tex]

In other words:

[tex]a(b + c) = ab + ac[/tex] ----- (1)

Having mentioned that;

Next, we compare the list of given options to (1) above

Option G matches (1).

[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]

Hence, option G correctly demonstrates distributive property


Related Questions

8% as a fraction in its simplest form

Answers

Answer:

8/100 Simplified is 2/25 in it's simplest form!

Step-by-step explanation:

Hope this helps! :)

Have a great day!

The number 8 % as a fraction in the simplest from is 2/25

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as A

Now , the value of A is = 8 %

So , the equation will be

The value of A = 8 %

Now , the value 8 percentage can be written as a fraction of 100

So , the value of A will be

The value of A = 8/100

Now , on dividing the numerator and denominator by 4 , we get

The value of A = 2 / 25

So , the value of A in the simplest form of the number A is 2/25

Hence , The number 8 % as a fraction in the simplest from is 2/25

To learn more about equations click :

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Is y=4x+6 a proportional relationship?

Answers

yes hope i helped :)))))

The answer is proportional

Graph the line with the equation y = -5x + 2.

Answers

This will generate a line quickly dropping from left to right, with an x-intercept of 0.4 and a y-intercept of 2.

See the attached image for the actual graph.

What are the slope and y-intercept for the graph of y = -10x + 2?​

Answers

Answer: slope is -10, y intercept is + 2

Step-by-step explanation:

slope is -10, y intercept is + 2

Zola and her friends are going bowling. The bowling alley charges each person a $14 fee to rent shoes, plus $4.50 per game. Which equation represents the cost, y, for each friend to go bowling in terms of the number of games played, x?

Answers

Answer:

X+14=y

Step-by-step explanation:

please help its timed​

Answers

Answer:

no solutions

Step-by-step explanation:

The height h of a square pyramid can be determined from the equation h = l2−(s2)2−−−−−−−−√ , where l is the slant height of the pyramid and s is the side length of the square base. What is the slant height l of the square pyramid shown?

Answers

Answer:

I believe the answer is 34 cm (I may be wrong but I'm 98% that my answer is correct)

Step-by-step explanation:

(excuse my handwriting on the ss its hard to write on a computer lol)

hope this helps :)

There are 12 circles and 15 triangles. What is the simplest ratio of circles to triangles

Answers

Answer:

4:5

Step-by-step explanation:

FINDING ANGLE MEASURES
Find x.

Answers

the answer is x is equal to 32

Solve the following word problems using a system of equations. The sum of two numbers is 36. One number is two more than the other. Find the numbers.​

Answers

Answer:

24,12

Step-by-step explanation:

suppose,

x+y=36

x=2y

2y+y=36

y=12

x=24

which of the following is a non terminating decimal ( )

a)¾ b) ⅘ c)⅓ d) none ​

Answers

C is a non terminating decimal.

a = 0.75

b = 0.8

c = 0.333333 (and will never terminate)

Evaluate (-7)2.


p l e a s e
a n s w e r
q u i c k\

Answers

Answer:

(-7)2 = -14

Step-by-step explanation:

The parenthesis basically mean "multiply". So, this is a simple equation meaning -7 x 2. And remember, anytime we multiply a positive by a negative, you get a negative. So, simply multiply 7 x 2 = 14 and add a negative sign to make the solution true. So, -7 x 2 or (-7)2 = -14

Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Also thank you for the generous points!! Stay safe and please mark brainliest!!

Answer:

-14

Step-by-step explanation:

just act as if -7 were positive then you know 7x2 = 14 cause' "()" means multiplication.

last, since 7 was negative in the first place then you turn your product back to a negative and you get -14

mark brainliest :)

I need the answers bad

Answers

Answer:

m<1=72

m<2=72

m<4=72

Step-by-step explanation:

Jeremiah sees a maple tree and a pine tree in the forest. He knows that the pine tree is
21.65 feet tall. On a sunny day, the shadow of the pine is 4.1 feet long while the maple's shadow is 15.01 feet long. Estimate the height of the maple tree.

Answers

Answer:

The height of the tree is  

18.67

feet

step explanation: i probably got it wronggggg

I will give lotta points and brainly, find the area and plz make it correct

Answers

Answer:

The area of what?? Is there a picture or something to go with this...

Step-by-step explanation:

Also the area of a rectangle, square, or parallelogram is Base x Height

The area of a triangle is (base x height) ÷ 2

The area of a circle is πr²

The area of a hexagon is ([tex]\frac{3\sqrt{3} }{2}[/tex]) x length of 1 side

The area of a trapezoid is [(base 1 + base 2) ÷ 2] x height

If there is a shape inside of another shape, find the area of the smaller shape and subtract it from the area of the larger shape.

That's all I can do to help because I don't know what you want me to find the area of :/

Marshall gave the cashier $100 to pay for 4 new video games. The cashier gave him $4.08 in change. Each video game cost the same amount. What is the cost in dollars and cents for each video game? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

Cost in dollars and cents for each video game = $23.98

Step-by-step explanation:

Total amount Marshall paid for four video games = $100

Total change given to Marshall = $4.08

Actual cost of the video games = Total amount Marshall paid for four video games - Total change given to Marshall

= $100 - $4.08

= $95.92

Total number of videos games bought = 4

What is the cost in dollars and cents for each video game

Cost of each video game = Actual cost of the video games / Total number of videos games bought

= $95.92 / 4

= $23.98

Cost in dollars and cents for each video game = $23.98

23 dollars .98 cent

Write the expression (2−3i)+5i(1−3i)
as a complex number in standard form.

Answers

Answer:

17 + 2i

Step-by-step explanation:

Given

(2 - 3i) + 5i(1 - 3i) ← distribute both parenthesis

= 2 - 3i + 5i - 15i²  [ i² = - 1 ]

= 2 + 2i + 15

= 17 + 2i ← in standard form

The standard form of a complex number (2 − 3i) + 5i(1 − 3i) is 17 + 2i.

What is a complex number?

A complex number is a component of a number system that includes the imaginary unit, represented by the letter i as an extension of the real numbers.

Given:

(2−3i) + 5i(1−3i)

Use the distributive property and expand the expression,

(2 − 3i + 5i - 15i²)

2 + 2i - 15(-1)           [i² = - 1]

2i + 17

Therefore, the standard form of a complex number (2 − 3i) + 5i(1 − 3i) is 17 + 2i.

To know more about complex numbers:

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Dominic invested $19,000 in an account paying an
interest rate of 6.1% compounded monthly. Assuming
no deposits or withdrawals are made, how much
money, to the nearest dollar, would be in the account
after 16 years?

Answers

Answer:

A≈50298

Step-by-step explanation:

The area of the parallelogram below is _____ square meters.


Numerical answers expected!

Answers

Answer:

48

Step-by-step explanation:

Answer:

Yes, the correct answer is 48, the person above me is right :)

Step-by-step explanation:

6 x 8 = 48

Joshua and Brandon buying a pizza for their math class. They will spend $77. Joshua will pay six times more then Brandon. How much will Joshua pay?

Answers

Answer:

$66

Step-by-step explanation:

For this problem, we will simply write two equations to solve how much each person will pay.

Let x represent the amount of dollars joshua pays and y represent the amount of dollars brandon pays.  Then we can say the following:

x + y = 77

x = 6y

Using these two equations, we can solve for how much Joshua will pay.

x + y = 77

6y + y = 77

7y = 77

y = 11

x + y = 77

x + 11 = 77

x = 77 - 11

x = 66

Hence, Joshua pays $66 and Brandon pays $11.

Cheers.

What is value of 1/3 ÷ 1/12 *
4
1/4
1/36
1/6

Answers

Answer:

its the first one 4

Describe the transformation of the graph y = (x)^3 + 6

Answers

The graph of y = x^3 + 6 is the result of shifting y = x^3 up 6 units

If f(x) = x^3, then g(x) = f(x) + 6 leads to g(x) = x^3+6.

The reason we shift up 6 is because we're adding 6 to the y coordinate.

Think of y = f(x), so f(x)+6 is the same as y+6.

45% of _____________is 165

Answers

Answer:

366.666666  

Step-by-step explanation:

Let the number be x

45% of x = 165x*45/100 = 165x = 165*100/45x = 366.666666  

Pythagorean Theorem
As part of Fort Yargo State Park's Geocaching
spectacular, Kylee, Constance, Zoe go on a GPS
treasure hunt. They start at the welcome center and
walk 250 feet due north. They then turn and walk 100
feet due east. They turn again and walk 150 feet due
south to the first geocache.
How far are Kylee, Constance, and Zoe from the
welcome center?
ANSWER ASAP

Answers

They are about 141.42 feet away from the welcome center

What is it? I don't understand it or know it.​

Answers

Answer:

3+6n=

Step-by-step explanation:

Help pls
Solve one step equation
-6x - 13 =23

Answers

Answer:

x=-6

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

move the 13 to the right side of the equation

-6x = 36 and the divide by -6

x= -6

If g(x) = 2(x – 4), find the value of x if g(x) = 20. (2 points) 0 14​

Answers

Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

g(x) = 2(x - 4)

g(x) = 20

Step 2: Solve for x

Substitute:                               20 = 2(x - 4)Divide 2 on both sides:          10 = x - 4Add 4 to both sides:               14 = xRewrite:                                    x = 14

1.4 –
( ___ ) = 2
i need an answer but it wont let me paste the picture :(

Answers

Answer:

answer is -0.6

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

1.4 - -0.6 = 2

what 25 time 358 divided by 1.6​

Answers

Answer:

5593.75

Step-by-step explanation:

This month, a marching band has 60 musicians. If the number of musicians in the band last month was 51 members, what percent of increase was this? (Round to the nearest percent)

Answers

Answer: Happy holidays!

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