Name the property illustrated by 5 (x + y) = 5 (y + x) . a. Distributive Property b. Commutative Property of Addition c. Associative Property of Addition d. Commutative Property of Multiplication

Answers

Answer 1

Given:

[tex]5 (x + y) = 5 (y + x)[/tex]

Solution:

Here, we need to find the property illustrated by this equation.

It the given equation, we write (x+y) as (y+x).

According to the Commutative Property of Addition, if a and b are two real numbers, then

[tex]a+b=b+a[/tex]

It means, Commutative Property of Addition is illustrated by the given equation.

Therefore, the correct option is b, i.e., Commutative Property of Addition.


Related Questions

point U is on line segment TV . given TU=4 UV=5x and TV=3x+6 determine the numerical lenth of TV

Answers

Using the segment addition postulate, the numerical length of TV is: 9 units.

What is the Segment Addition Postulate?

According to the segment addition postulate, if U lies between line segment TV, therefore:

TV = TU + UV

Plug in the values:

3x + 6 = 4 + 5x

Solve for x

3x - 5x = 4 - 6

-2x = -2

x = 1

TV = 3x + 6 = 3(1) + 6

TV = 9 units

Learn more about the segment addition postulate on:

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10. Kibble-Yum dog food costs $3.70 per pound. If Jenna spent a total $20.35 before tax on
Kibble-Yum dog food, how many pounds of dog food did she buy?

Answers

Answer:

5.5 pounds

Step-by-step explanation:

20.35/3.70=5.5

the height of an experimental plant after x days can be represented by the formula 3(4x+2). The height of a second plant can be represented by the formula 6(2x+2). Is it possible that the two plants will ever be the same height?Expain.

Answers

Answer:

no, the plants will not be the same height.

Step-by-step explanation:

if you distribute 3 into the parenthesis (4x+2) it will give you 12x+6. if you distribute the other equation, 6 into the parenthesis (2x+2) it will give you 12x+12.

2617 rounded to the nearest hundred

Answers

Answer:2600Step-by-step explanation:This is because you have to look at the in the hundred place. then look at the one to the right of it. If the number is more than 5 you will add 100 if not it will stay at 2600.Hope this helps, have a great day, stay safe, and positive!!:)

Answer:

2600

Step-by-step explanation:

18.194 rounded to the hundreths

Answers

Answer:

18.94

Step-by-step explanation:

18.19

Because 4 is bellow 5 so you can’t round up

A bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles. What is the probability that you will NOT choose a blue marble?

Answers

The probability that you will NOT choose a blue marble is 28/45.
45 because there are 45 marbles in total 12+11+17+5=45
And then 28 because you add all the marbles that are NOT blue 12+11+5=28

lanie is saving money to buy a car. she saved $225 so far. she earns $293 every month. How many months until lanie has saved $2030? round your answer to the nearest month.​

Answers

Your answer would be 5.16 months, the answer rounded would be FIVE MONTHS.

Find the equivalent number. (will mark the brainliest and youĺl be loved)

Answers

Answer:

B. 9

Step-by-step explanation:

So when solving a question like this, you may try to find what 3⁴ is and what 3² is and divide, but there is a much easier way to do this. Remember:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

This can be used to find [tex]\frac{3^{4}}{3^{2}}[/tex] without finding what 3⁴ is. This is how we would do it:

[tex]\frac{3^{4}}{3^{2}}=3^{4-2}=3^{2}=9[/tex]

And now we get the solution, 9, which is answer choice B.

I hope you find my answer helpful.

What is the slope of the line with the coordinates (0,0) and (-4,7).

Answers

Answer:

Slope = -7/4

Step-by-step explanation:

Let's find the slope between your two points.

(0,0) ; (−4,7)

(x1,y1) = (0,0)

(x2,y2) = (−4,7)

Use the slope formula:

m = y2−y1 / x2−x1

= 7−0/−4−0

=7/−4

= −7/4

Answer:

m= −7/4

Hope this helps!!

Solve 8w-3r=45 for r. Show your work.

Answers

Answer:

r = 8/3w − 15

Step-by-step explanation:

Let's solve for r.

8w−3r=45

Step 1: Add -8w to both sides.

−3r+8w+−8w=45+−8w

−3r=−8w+45

Step 2: Divide both sides by -3.

−3r/−3 = −8w+45/−3

Please help me out hereeee

Answers

Answer: A is your answer

Step-by-step explanation:

solve for(x-4)(x+4)=

Answers

Answer:

x^2-16

Step-by-step explanation:

x^2-4^2

x^2-16

difference of squares

can someone please help me
what is the lcm for 65 and 78?​

Answers

Answer: 390

Step-by-step explanation:

65 x 6 = 390

78 x 5 = 390

3 ratios equivalent to 16:12

Answers

Answer:

8/6 , 4/3 , 32/24

Step-by-step explanation:

Answer:

just like the other one said 8/6 4/3 32/24

The sum of two consecutive odd numbers is 72 what are the numbers

Answers

Answer: 1st # n=35

2nd # n+2=37

Step-by-step explanation:

n= 1st #

n+2= 2nd #

n+n+2=72

2n+2=72 ( combine like terms)

2n+2-2=72-2

2n=70

2n/2=72/2

n=35

Answer:

Step-by-step explanation:

x + x + 2 = 72

2x = 70

x = 35

35 + 2 = 37

la diferencia de la temperatura máxima de 23 y mínima de 12 ​

Answers

La temperatura del aire medida con un termómetro de máximo-mínimo se puede usar para mostrar la diferencia de temperatura durante un período de tiempo, generalmente un día. La diferencia entre el máximo diario y el mínimo diario se denomina rango diurno.

haga clic en las estrellas y haga clic en gracias

por favor responde esta pregunta

¿Por qué la línea es el rey de la jungla?

Question 3
Find the point P that partitions the line segment AB given the ratio.
A(3,5) B(4, 3) with the ratio 2:1
Your answer:
O (11/3, 4)
O (4,11/3)
O (5,8)
O (10, 1275)
Clear answer
N

Answers

Answer:

I think 1

I think 2

I think 3

I think 4

A jug has a maximum capacity of 16 liters. It's filled to 45% of its capacity, and then poured out at a rate of 60 ml/s. Which of the following expressions models the volume remaining in the jug, in liters, after 'seconds?
a. 7.2 - 0.06x
b. 16 - 0.06x
c. 7200 - 60x
d. 16000 - 60x​

Answers

Answer:

c is the answer

Step-by-step explanation:

Rewrite the addition of the groups as a multiplication of groups (-4) + (-4) + (-4) + (-4) + (-4) =

Answers

Answer:

5(-4)

Step-by-step explanation:

(-4) + (-4) + (-4) + (-4) + (-4) =

Vanessa is creating centerpieces for a reception. Each centerpiece will consist of eight flowers arranged around one
candle. Vanessa will create 20 of these centerpieces. Each candle costs $6.00, and each flower costs $1.50. What is the
final cost of the centerpieces?

Answers

Answer:

Step-by-step explanation: 120.00

You are making a picture frame in shop class. Two pieces of wood are cut to form complementary angles so they fit together properly . One angle needs to be (2x +23) and the other angle needs to be (3x +27). What is the measure of the larger angle?​

Answers

Answer:

Step-by-step explanation:

The measure of the ​angles are 51° and 39°.

What is a complementary angle?

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

Given:

Two pieces of wood are cut to form complementary angles.

One angle needs to be (2x +23) and the other angle needs to be (3x +27).

We have to find the measure of the larger angle?.

According to given question we have

Two angles are complementary when their sum is equal to 90°.

So, ( 2x + 23 ) + ( 3x + 27 ) = 90°

5x + 50° = 90°

5x=40°

x = 8°

Putting value of x in the angles given :

( 2x + 23 )° = 2(8°) + 23° = 39°.

( 3x +27 )° = 3(8°) +27° = 51°.

Therefore, the measure of the ​angles are 51° and 39°.

Learn more details about complementary angles here:

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NEED ANSWER ASAP PLEASE! Which quantity is the input and which is thw output? How do you know?

Answers

Answer:

input is the side length, out put is the permineter

Step-by-step explanations

cuz, equation:

p=4^(s)

Please help me solve this

Answers

Answer:

the answer is -147.0192379. I can't transfer it into a radical, I tried. it might be the -2 one though only because of the negative

Answer: last one

Step-by-step explanation:

last one

2) Denise is 3 times as old as her daughter Emily. If the sum of their ages is 48. What is Denise's
age?

Answers

Answer:

36 years old

Step-by-step explanation:

48 divided by 4 equalls 12 (Emily's age)

12 times 3 equalls 36 (Denise's age)

Checking

36+12=48

If the restaurant bill is $21.60, and I want to leave a 15% tip for my waitress, how much money should I leave for the tip?

Answers

Answer:

$3.24

Step-by-step explanation:

Help Need answer to this problem 4 + (11- 3) to the power of 2

Answers

Answer:

the answer should be 68

Step-by-step explanation:

68

HELP ME !!!
A.What is the slope of line b ?
B.What is the slope of line d?

Answers

Answer:

The slope to line a is 2,3

The slope to line b is 2,4

Step-by-step explanation:

Line b= -4/5 or -0.8
Line d= undefined

In a shopping mall, there are 30 stands selling clothes, which accounts for 1/3 of the total stands. How many stands are there?

Answers

Hello................

The length of a rectangle is 3 cm less than twice the width. If the perimeter is 42 cm, what is the length of the rectangle?

Answers

Answer:

The length is 13

Step-by-step explanation:

w+w+l+l= perimeter

if the length is 3m less than twice the width then let's do some math.

42 divided 2 =21. so the width and length of one side have to equal 21. For example, let's use 8 as the width. The length would be twice(16) minus three(13) 13 plus 8 is 21. WOW it equals half of it so no we know the length is 13 and the wdith is 8.

help pls i’m out for quarantine and i do NOT know how to do these.. EVENS ONLY

Answers

yeah the only one I can tell you about is number 3 you need to subtract 107° from 360° then you need to figure out which angles X Y and Z is and divided

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