Which demonstrates the distributive property? *
a + b = b + a
O (a + b) + c = a + (b + c)
a(b + c) = ab + ac
a + 0 = a

Answers

Answer 1

Answer:

a(b + c) = ab + ac demonstrates the distributive property ⇒ C

Step-by-step explanation:

The distributive property is the product of a number by the sum of the other two numbers equal to the sum of the product of the number with each of the other two numbers.

Example: x(y + z) = xy + xz

Let us check the choices to find which of them demonstrates the distributive property

∵ a + b = b + a

→ Adding a and b equals to adding b and a,

∴ It demonstrates the commutative property

∵ (a + b) + c = a + (b + c)

→ Adding the sum of a and b to c equals to adding c to the sum of a and b

∴ It demonstrates the associative property

a(b + c) = ab + ac

→ Multiplying a by the sum of b and c equals the sum of the products

  of a, b and a, c

It demonstrates the distributive property

∵ a + 0 = a

→ The additive identity is zero

∴ It demonstrates the additive identity property

a(b + c) = ab + ac demonstrates the distributive property


Related Questions

expand and simplify 3(3x-4)-2(2x-1)

Answers

Answer:

5x-10

Step-by-step explanation:

distribute 3 & 2 thought the parenthesis

34% x 79% pls help ill give brainliest

Answers

Answer:

0.2686

Step-by-step explanation:

It's basically just 34 times 79 lol

Answer:

0.2686

Step-by-step explanation:

Scientists use a temperature unit called the kelvin. For example, the boiling
point of water at sea level occurs at 373.16 kelvins, written 373.16 K. The
formula K=5/9(F + 459.67), where K is the temperature in kelvins and F is the
temperature in degrees Fahrenheit, can be used to convert Fahrenheit
temperatures to kelvins.

Answers

Answer: F = 9/5K - 459.67

A train is traveling at 50 miles per hour. What is the train?

Answers

Answer:

The speed of the train = 50 mph = 50*1.61 = 80.5 km/hr = 80.5*1000/3600 = 22.36 m/s. The speed of a train is 54 km/h excluding its halting time.

Hope this helps! :)

Write and evaluate the expression. Then, complete the statements.

six more than the product of nine and a number

Evaluate when q = 6

A 2-column table with 5 rows. Column 1 is labeled Key words with entries six, more than, product, nine, a number. Column 2 is labeled Replace with entries 6, +, times, 9, q.

First, write the expression
6 + 9q
.

Second,
evaluate
6 in for the variable, q.

Third,
simplify
using
order of operations
.

The answer is
.

Answers

Answer:

first one  is

6+9q

substitute

simplify

order of operations

the answer is 60

Step-by-step explanation:

i got it on edenuity what ever it

hope i helped :)

3. 9x10^4. 4. 5x10^7. Please answer 3 and 4

Answers

Answer:

9 times 10 to the power of 4 is equal to 9 times 10,000

Step-by-step explanation:

3) is 4 times greater

4) 7 times greater

Answer:

hvuhbivjkfhigoveriudjkvejrsdvuweduv

Step-by-step explanation:

udsijnvcifudjkbnvueifvbbaeunidsv

;)

Which of the following is not a way to represent the solution of the inequality?
7 - 9x - (x + 12) <= 25?

A: x => -3
B: x <= -3
C: -3 <= x
D: a number line with a closed circle on negative 3 and shading to the right

Answers

Answer:

B) x <= -3

Step-by-step explanation:

B is the only answer that shows x being less than -3.

all of the other answers show x being greater than -3.

Point B is located at (0, 2) and is translated to point B' with coordinates (1, -1), which translation did point B undergo? One unit right and three units down One unit right and one unit down Two units right and two units down Three units left and one unit up

Answers

Answer:

One unit right and three units down

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is translated a units right and b units up, its new location is at X'(x + a, y + b) while if a point is translated a units left and b units down, its location is X'(x - a, y - b).

Since point B is located at (0, 2) and translates to B' with coordinates (1, -1), the translation is given as (x + 1, y - 3) that is 1 unit right and 3 unit down.

Krego earns $2,456.75 every month. He also earns an extra $4.75 every time he sells a new gym membership. Last month, Krego sold 32 new gym memberships. How much money did Krego earn last month? Round to the nearest penny when necessary.

Answers

Answer:

$2600.75

Step-by-step explanation:

let us first model the total amount he makes

say the number of sales made us x

let the total made be y

y=2456.75+4.5x

given that the amount of sales is 32

let us put x=32 in the expression to get the total amount

y=2456.75+4.5(32)

y=2456.75+144

y=2600.75

therefore if he sale 32 new gym membership he will make $2600.75

i bought 1/3 yard of white chiffon 2 1/4 yards of white linen and 5/8 yard tulle to make my daughters halloween costume. how much yarn did i buy?

Answers

Answer:

3 5/24 yards of yarn.

The required yard of yarn purchased is given as 3 5/24 yards.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Bought 1/3 yard of white chiffon 2 1/4 yards of white linen and 5/8 yard tulle.

Total yarn = 1 / 3 + 2 1/4 + 5/8
               = 1/3 + 2 + 1/4 + 5/8
               = 2 + 1/3 + 1/4 + 5/8
               = 2 +   [8 + 6 + 15] /24

               = 2 + 29/24
               = 2 + 1 + 5/24
               = 3 5/24 yards of yarn

Thus, the required yard of yarn purchased is given as 3 5/24 yards.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

ILL BRAINLIST 5 times do this for me pllsss I'll make u expert​ I'm rlly confused on this don't get it

Answers

Answer:

a) Maria has d+f

b) Ivan has 3d+ (f-7)

c) 5d+20f

Step-by-step explanation:

Algebra 2 Math question Grade 11

Can anyone please help me with this question? Soon as possible!


In a linear equation of the form y = mx + b, as b increases, what happens to the line?

Which of these choices is the correct answer?


The line moves up.

The line gets steeper.

The line moves down.

The line moves to the right

None of these describes how the line changes.

Answers

Answer: A) The line moves up

The b determines the y intercept

For example, y = 2x+5 has a y intercept of 5

Another example, y = 2x+6 has y intercept 6

The value of b has gone up by 1, so the graph shifts up by 1.

See the diagram below.

The slope stays the same, so both lines are parallel.

Jenna's brother borrowed $200 from her to buy a tablet. She will charge him 3% simple interest. Her brother says he will pay her back in 6 months. What is the total amount he will pay back?

Answers

Answer:

personally I believe its 6..

Step-by-step explanation:

10% of 200 is 20. if 10% is 20 then each part would equal 2. 2×3 is equal to 6

Answer:

$203

Step-by-step explanation:

To find the cost he pays back you need to mulitply 200 x 3% x 6 months.

Because you can't multiply with different units, you convert them to the same unit. (Numeric form)

To convert, we divide 3% by 100 and get 0.03

6 MONTHs is equal to 1/2 of a year which is also 0.5.

Now that all of our numbers are using the same units, we can multiply.

200(0.03)(0.5)

200 x 0.03 is 6

6 x 0.5 is 3.

We need to add the total amount her brother pays her back and the interest.

He pays her $200 for the Tablet and gives her $3 for the interest.

200+3=203.

If “a” represents a number on the real number line and the result of “a + b” is located to the left
of a then which of the following must be true about the value of “b”?

(1) b is positive
(2) b is negative
(3) b is zero
(4) b is less than a

Answers

Answer:

(2) b is negative

Step-by-step explanation:

If b is negative then the result of a + b would actually be a - b, which is located to the left of a. For answer 1, the number would be located on the right and for 3 the answer would be in the same place. Finally, for answer 4, the number would still be located to the right of a, just a smaller distance than a away.

What is an estimation strategy
This is for 6th grade math please help

Answers

Answer:

Estimation is a mental process of coming up with an answer that is relatively  close, to allow decisions to be made. The types of estimation are quantity, computation and measurement.

An estimation strategy is simply coming up with a good estimate based on evidence and already known facts. Coming to a conclusion as close to the real answer as you can. It can also be called an educated guess.

RiDDLe oF tHE DaY: In the beginning of the school semester at Wilson Middle there was a murder. There were four suspects, The principal, Gardener, The counselor and the math teacher. The principal said he was in his office. The counselor said she was at the front office with school staff. The gardener said she was trimming bush leaves. The math teacher said he was giving out the end of semester school test. Who is the murder?

Answers

Answer:

the gardener

Step-by-step explanation:

it always is lol

Answer:

Math teacher

Step-by-step explanation:

It says he was giving the end of semester school test, and its the beginning of the school semester at Wilson Middle.

2(5x+5) + 9(x-10) + 9-squared

Answers

Step-by-step explanation:

We'll use BODMAS to solve this

Open the brackets :

2(5x+5)+9(x-10)+9sq = 10x+10+9x-90+81Then we arrange them accordingly :10x+9x+10-90+81 We then calculate :19x+10-90+81BODMAS :19x+91-90 = 19x+1ANSWER :19x+1

Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?What is the best approximation for the input value when f(x)=g(x)?

Answers

Answer:

11$

Step-by-step explanation:

big brain

Answer:

11 just took the test

Step-by-step explanation:

Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.
If cat and dog start running away from each other how far away from each other will they be after 30 minutes?

Answers

Answer;

They will be 0.5x miles away from each other

Explanation;

Since the dog runs twice the speed of the cat

Its speed will be 2 * x = 2x mph

Now we want to know how far they will be from each other after 30 minutes

Kindly note that 30 minutes is 1/2 hour

Mathematically;

distance = speed * time

Distance of cat = x * 1/2 = 0.5x miles

Distance of dog = 2x * 0.5 = x miles

The dog is x - 0.5x miles = 0.5x miles away from the cat

They will be 0.5x miles away from each other.

Calculation of the distance:

Since Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.

So here the speed of the dog should be 2x

Now we know that

[tex]Distance = speed \times time\\\\[/tex]

Here distance of cat should be x of 30 minutes or half hour = 0.5x miles

And, Distance of dog should be 2x of 0.5 = x miles

So, the difference should be

= x - 0.5

= 0.5x miles

hence, They will be 0.5x miles away from each other.

Learn more about speed here: https://brainly.com/question/1825528

30 POINTS! HELP ME PLZZ !!

Answers

Answer:

D.

Step-by-step explanation:

D is the only one that works because commutative property allows you to rearange the order of questions, but you cannot change the number's numerical value

I think C) is the answer plz correct me if I’m wrong :)

The diameter of a circle is 25 inches. What is the area? Use 3.14 for pi and round to the nearest hundredth.​

Answers

Answer:

500 inches

Step-by-step explanation:

r= d÷2

25÷2= 12.5

Area of circle = pi × r²

=3.14×(12.5)²

=490.625

~500 inches

If QR = 2x, RS = x + 7, and QS = 16, what is QR?
2x
R
x + 7
S
16

Answers

Answer: QR = 6 units

Step-by-step explanation:

QR + RS = QS

2x + x + 7 = 16

3x = 9

x = 3

QR = 2x = 2*3 = 6

Name the slope and y-intercept of the graph of each question

y = 3x + 8

5x+y=17

PLEASE SOMEONE EXPLAIN TO ME HOW TO DO IT . WILL MAKE BRAINIEST AND 30 points

Answers

Answer:

Step-by-step explanation:

in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.

3x is the slope . 8 is the y intercept

5x is the slope while y is the basically the y intercept.

Answer:

in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.

3x is the slope . 8 is the y intercept

5x is the slope while y is the basically the y intercept.

Step-by-step explanation:

If a zombie sleep for 96436 year but woke up 329 years ago how long did really sleep?

Answers

Answer:

96436-329 = 96107

Step-by-step explanation:

Mal always solve the equation of negative 5 x minus 16 equals 8, his work is shown below identify the era where it was made step one not gonna 5 x minus 16 plus 16 equals 8 plus 16 Sep 2 negative 5 x equals 24 step, 3 negative 5 x, over 5 equals 24 over 5 step 424 are 5.

Answers

Given:

The equation is

[tex]-5x-16=8[/tex]

To find:

The error and correct solution.

Solution:

We have,

[tex]-5x-16=8[/tex]

Add 16 on both sides.

[tex]-5x-16+16=8+16[/tex]

[tex]-5x=24[/tex]

Divide both sides by -5.

[tex]\dfrac{-5x}{-5}=\dfrac{24}{-5}[/tex]

[tex]x=-\dfrac{24}{5}[/tex]

Third step is incorrect because he divide the equation by 5 instead of -5.

Therefore, the correct solution is [tex]x=-\dfrac{24}{5}[/tex].

I need help in this before 11:59 please

Answers

Step-by-step explanation:

√7 * √7 = 7 , which is not a irrational number

1-2x + 10 1 +12 = 4 *

Answers

This equation doesn’t make sense... is that 101 or is there something between the 10 and 1?

A blouse that is size x in country A is size​ s(x) in country​ B, where ​s(x)x. A blouse that is size x in the country B is size​ t(x) in country​ C, where ​t(x)x. Find a function​ f(x) that will convert blouse sizes in country A to blouse sizes in country C.

Answers

Answer:

f(x) = [k(x): x = s(x) = t(x)]

Step-by-step explanation:

To make the question clearer, rewrite;

A blouse that is size x in country A is size s(x) in country B.

s(x) = x

A blouse that is size x in country B is size t(x) in country C.

t(x) = x

Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.

f(x) = [k(x): x = s(x) = t(x)]

Interpretation:

f of x is equal to k of x such that x is equal to s of x which is also equal to t of x.

Where the other blouse sizes are represented by k(x) or as a function of the given size x.

The measure of an angle is 108°. What is the measure of a supplementary angle?

Answers

Answer:

72 degrees

Step-by-step explanation:

180-108=72

where I got 180: a supplementary angle is 180 degrees

What is the scale factor from figure B to A?

Answers

2.5

Explanation:25/10, 10/4, 21.5/8.6=2.5

Hope it helps
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