Draw a line from each equation to the property of equality it illustrates.
(6 + 3) - 3 = 9 - 3 • • Addition Property of Equality
(6 + 3) × 3 = 9 × 3 • • Division Property of Equality
(6 + 3) + 3 = 9 + 3 • • Multiplication Property of Equality
(6 + 3) ÷ 3 = 9 ÷ 3 • • Subtraction Property of Equality

Answers

Answer 1

Answer:

1) Subtraction Property of Equality

2) Multiplication Property of Equality

3) Addition Property of Equality

4) Division Property of Equality

Step-by-step explanation:

We proceed to present the correct answer to this question and explain the reason behind the election of each option below:

1) [tex](6+3)-3 = 9 - 3[/tex] Subtraction Property of Equality

Reason - Subtraction is a particular form of addition based on the consideration of the existence of additive inverses. The subtraction property of equality is defined as:  [tex]a = b[/tex] if and only if  [tex]a+(-c) = b+(-c)[/tex].

2) [tex](6+3)\times 3 = 9 \times 3[/tex] Multiplication Property of Equality

Reason - The multiplication property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a\cdot c = b\cdot c[/tex].

3) [tex](6+3)+3 = 9+3[/tex] Addition Property of Equality

Reason - The addition property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a+c = b+c[/tex].

4) [tex](6+3)\div 3 = 9 \div 3[/tex] Division Property of Equality

Reason - The division is a particular form of multiplication based on the consideration of the existence of multiplicative inverses. The division property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a\cdot c^{-1} = b\cdot c^{-1}[/tex].


Related Questions

Graph the inequality 2x-5y > 10. Which ordered pair is a possible solution?

Answers

Answer:

3×6=

68

56

46

78

56

87

986786

a grocery store clerk put only packages of flour tortillas and packages of corn tortillas on a shelf the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16 which number could be the number of packages of flour tortillas the clerk put on the shelf?​

Answers

23 I think ya that sounds right

Answer:

1222222222

Step-by-step explanation:

Which of the below is the only correct
similarity statement for the two triangles?

Answers

They are both the same shape but turned different ways

In rhombus ABCD, AC = 18, and BD = 24, what is the
length of one side of the rhombus?
B
1) 30
2) 42
3) 15
4) 21

Answers

Answer:

15

Step-by-step explanation:

Here, given the diagonals of the Rhombus, we want to get the length of one side of the Rhombus

We proceed to use the formula below;

d1 = √(4a^2-d2^2

Where d1 represents the length of one diagonal

a is the side of the Rhombus

d2 is the length of the second diagonal

Thus, mathematically;

d2^2 = 4a^2 - d1^2

4a^2 = d2^2 + d1^2

4a^2 = 18^2 + 24^2

4a^2 = 900

a^2 = 900/4

a^2 = 225

a = √225

a = 15

..................................................................................................

Answers

Answer:

age to for the pooiiinntss

Answer:

.................................................................................................

1. Use the distance formula (FOR COORDINATES) to find the distance between A(-6, 4) and B(5,-3).

Answers

Answer: [tex]\sqrt{170}[/tex]

Step-by-step explanation:

Distance formula: a^2+b^2=c^2 where c is the distance between two points

(-6-5)^2 + (4-(-3))^2=c^2

(-(6+5))^2 + (4+3)^2=c^2

(-11)^2 + 7^2=c^2

121 + 49=c^2

c^2=170

c=[tex]\sqrt{170}[/tex]   ==> distance between A and B

Solve: 8 + b/2 = 14 HELPPPPPPPPPPPPPPPPP

Answers

Answer:

b = 12

Step-by-step explanation:

subtract eight from both sides to leave the b variable on the left

b/2 = 14 - 8

b/2 = 6

multiply by 2 on both sides to leave b by itself

b = 6 * 2

b = 12

Answer:

12

Step-by-step explanation:

8 + b/2 = 14

b/2 = 14 -8

      = 6

b = 6 x 2

  = 12

Therefore b is 12. Hope this helps you and pls mark me as brainliest <3

2) Hector scored 3/5 of the goals on soccer team. If his team scored a total of 35 goals during the season, how many goals did Hector score? Type your answer as a number only. Your answer ​

Answers

Answer:

21

Step-by-step explanation:

1/5 * 35 = 7

7*3 = 21

Can you please awnser this

Answers

Answer:62 degrees

Step-by-step explanation:  BAC and DAF  are equivalent

Someone please help me with this! Pick the correct choice

Answers

the answer is A. i’m pretty sure

There is a line whose y intercept is 3 and whose slope is 6. What is its equation in slope-imtercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.​

Answers

Answer:

y = 6x + 3

Step-by-step explanation:

Equation of the line

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

The equation of the line in slope-intercept form is:

y = mx + b

Being m the slope and b the y-intercept.

Where m is the slope and (h,k) is a point through which the line passes.

We are given the y-intercept as b=3 m=6.

Thus, the equation of the line is:

y = 6x + 3

Write down the value of 9^1/2

Answers

Answer: 3

Step-by-step explanation: 9^1/2 = 3

Answer:

3

Step-by-step explanation:

using the rule of exponents/ radicals

[tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex] , then

[tex]9^{\frac{1}{2} }[/tex] = [tex]\sqrt{9}[/tex] = 3

An airplane descends at a rate of 2,700 feet per minute. once the airplane starts its descent, what will be its change in elevation after 312minutes?

Answers

The airplane that descends at a rate of 2,700 feet per minute, after 3 1/2 minutes it will be at 9450 ft

The formula and procedure we will use to solve this problem is:

v= x/t

Where:

x = distancet = timev = velocity

Information about the problem:

x = ?t = 3 1/2 minv = 2,700 ft/min

Converting the mixed fraction to a fraction, we get:

3 1/2 =

[(3*2) + 1]/2 =

(6+1) / 2 =

7/2

3 1/2 min is equivalent to 7/2

Applying the velocity and isolating the distance we have:

x= v*t

x = 2700 ft/min * 7/2 min

x = 9450 ft

What is velocity?

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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Write the expression in simpliest form WILL GIIVE BRAINLIEST
3 (2x - 3)

Answers

Answer: The answer is 6x–9, please mark me as brainliest and have a wonderful weekend. :D

Step-by-step explanation:

Which of the following tables has a slope of zero?

Answers

Answer:

A

Step-by-step explanation:

Please please help if possible I love you thank you so much!!!❤️❤️❤️ due really soon

Answers

Step-by-step explanation:

There is no question here

Answer: Help with what? You forgot to link your question

Step-by-step explanation:

I WILL GIVE BRAINILEST

which expression shows a sum of three terms?

3x
3 + x
3 + x + 9
x3

Answers

Answer:

the answer would be the third option. its the only thing that has 3 terms

Step-by-step explanation:

3+x+9

Answer:

3+x+9 is the sum of three terms

What is the slope of this line? Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

Step-by-step explanation:

where is the line? pls share it

Statement: 4x < 0
Which is greater? 1 or x

Answers

Answer:

1 is greater than x

Step-by-step explanation:

4x < 0

x<0-4

x< -4

x={ -5,-6,-7,-8,-9,-10,.............}

so {-5,-6,-7,-8,-9,-10,-.............} are lesser than 1

hence 1 >x 0r 1 is greater than x

given -2 1/3 x -5.15 determine the product.

Answers

The resulting product of the expression is 12.017

Product of fractions

Fractions are written as a ratio of two integers

Given the following expression

-2 1/3 x -5.15

Convert to improper fraction to have:

-7/3 * -515/100

3605/300

12.017

Hence the resulting product of the expression is 12.017

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suppose that verania and josimar are roommates that need to complete some household chores. vacuuming and washing dishes need to be done. they know from the last time they did these chores that it takes verania 2 hours to vacuum and 1 hour to wash dishes. it takes josimar 3 hours to vacuum and 2 hours to wash dishes. josimar says it does not matter which task each of them performs because verania is faster at both tasks.

Answers

It is wrong. Because Verania has a comparative advantage in washing dishes, she should wash dishes, and Josimar should vacuum.

Having an absolute advantage in both things does not mean that Verania has a Comparative advantage in both as well.

They should find out which activity they both have a comparative advantage in and focus on that. The activity that costs the least opportunity cost is the one they have a comparative advantage.

Verania

Opportunity cost of vacuuming = 2 / 1 = 2 hours of washing dishes

Opportunity cost of washing = 1/2 = 0.5 hours of vacuuming

Josimar

The opportunity cost of vacuuming = 3/2 = 1.5 hours of washing dishes

Opportunity cost of washing = 2/3 = 0.66 hours of vacuuming

Verania has a comparative advantage in washing dishes while Josimar has a comparative advantage in vacuuming.

For more information on calculating cost click on the link below:

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Form A polynomial whose real zeros and degree are given.
What polynomial has zeros of -5,-1.2,5 and degree of 4?

Answers

The polynomial function has zeroes as given by x=0

In general, given zeroes of a polynomial function, a, b, c, and d, we can write the function as the multiplication of the factors

(x-a), (x-b), (x- c), and (x-d) then the degrees are 4

simply:

f(x)=(x-a) (x-b) (x- c) (x-d)

In this case, we can show that each of a, b, c, and d are zeroes of the function:

f(a)=(a-a) (a-b) (a-c) (a-d)

     = (0) (a-b) (a-c) (a-d)

     =0

f(b)=(b-a) (b-b) (b-c) (b-d)

      =(b-a) (0) (b-c) (b-d)  

      =0

f(c)=(c-a) (c-b) (c-c) (c-d)

     =(c-a) (c-b) (0) (c-d)

     =0

f(d)=(d-a) (d-b) (d-c) (d-d)

     =(d-a) (d-b) (d-c) (0)

     =0

since the value of the function at x=a, x=b, c, and d are equal to 0, then the function

f(x)=(x-a) (x-b) (x- c) (x-d) has zeroes at a, b, c and d

with the generalized form, we can substitute for the given zeroes,

x=-5, x=-2,0and 5 where a=-5, b=-2, c=0 and x=5

f(x)=(x-(-5)) (x-(-2)) (x-0) (x-5)

simplifying gives:

f(x)=(x+5) (x+2) x(x-5)

from here, we can put it in standard polynomial form by foiling the right side:

f(x)=x^3+2x^2-25x-50

To double-check the answer, just plug in the given zeroes, and ensure the value of the function at those points is equal to 0.

f (-5) =x^3+2x^2-25x-50

       =(-5)^3+2(-5)^2-2(-5)-50

f (-5) =0

f (-2) =(-2)^3+2(-2)^2-2(-2)-50

f (-2) =0

f (0) =0

f (5) =(5)^3+2(5)^2-2(5)-50

    =0

Hence, the function has zeroes as given by x=0.

To learn more about polynomial function, visit

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3) Write an ​equation​ with a slope of 6 and a y-intercept of 3:
4) Write an ​equation​ with a slope of 1.5 and a y-intercept of -5:

Answers

3. y=6x+3
4. y=1.5x-5
(i haven’t done algebra in while but i think those are the answers) hope it helps!

Find the missing side of this right triangle

Answers

Answer:

x ≈ 14.7

Step-by-step explanation:

use pythagorean therorem

a^2 + b^2 = c^2

c is hypotenuse and we know the hypotenuse is 21

a^2 + b^2 = c^2

x^2 + 15^2 = 21^2

x^2 + 225 = 441

x^2 = 216

x = √216

x ≈ 14.7

To the nearest tenth, what is the value of x?
A. 3.5
B. 4.8
C. 5.9
D. 7.3
E. 9.8 ​

Answers

Answer:

D, I think, pls don't report if im wrong

Step-by-step explanation:

Thomas bought 80 tickets for rides at an amusement park. Each ride cost five tickets, Thomas has been on X right so far. Select all the expressions to show the number of tickets that Thomas has left. A. 80-5x B. 80+5x C. 5(16+x) D.-5x+80 E. 5(16-x)

Answers

Answer:

A. 80-5x

Step-by-step explanation:

Let the number of rides be represented by = x

Thomas bought 80 tickets for rides at an amusement park. Each ride cost five tickets, Thomas has been on x right so far.

The number of rides Thomas has been on so far= 5 × x = 5x

The expressions to show the number of tickets that Thomas has left is written as:

80 - 5x

Option A is the correct option.

Answer: clown and watch me and watch all my videos

Step-by-step explanation:

Solve the System of Equations using Substitution or Elimination. State your final
answer as an ordered pair (x,y) *
-3x + 10y = -15
5x - 7y = -4

Answers

Answer:

(- 5, - 3 )

Step-by-step explanation:

Given the 2 equations

- 3x + 10y = - 15 → (1)

5x - 7y = - 4 → (2)

Multiplying (1) by 5 and (2) by 3 and adding the result, eliminates the x- term.

- 15x + 50y = - 75 → (3)

15x - 21y = - 12 → (4)

Add (3) and (4) term by term to eliminate x, that is

29y = - 87 ( divide both sides by 29 )

y = - 3

Substitute y = - 3 into either of the 2 equations and solve for x

Substituting into (1)

- 3x + 10(- 3) = - 15

- 3x - 30 = - 15 ( add 30 to both sides )

- 3x = 15 ( divide both sides by - 3 )

x = - 5

solution is (- 5, - 3 )

Which expression can be used to find the product of 320? (3 points)
0 (3 x 2) × (3 x 5)
(3 x 9) * (3 x 5)
(4 x 7) x (2 x 5)
(4 x 8) X (2 x 5)

Will be marked!

Answers

Answer:

( 4 x 8) x (2 x 5)

32 x 10

320

Yesnsidbejdidbdndkkd

24 men in a room 1/2 wearing red shirt 1/3 wearing green shirt the rest are wearing blue shirt​

Answers

Answer:

12 red shirts

8 green shirts

4 blue shirts

Step-by-step explanation:

1/2 of the 24 people are wearing red shirts

Of means multiplication, so...

1/2 * 24 = 24/2 = 12, and do the same for the rest!

Answer:1/2 of 24= 24/2=12

             1/3 of 24= 24/3=8

             12+8=20

             24-20=4

Step-by-step explanation:

Each small square on the grid is 1 ft squared.
Which estimate best describes the area of this figure?
A. 25 ft2
B. 35 ft
C. 50 ft2
D. 65 ft2

Answers

approximately 50ft because 5 put into the shape would be around 48 and it would be the best estimate of 50
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