A student solved the given equation and justified every step except one. What is the missing reason? A) Associative property of addition B) Commutative property of addition C) Multiplicative property of equality D) Distributive property of multiplication over addition

A Student Solved The Given Equation And Justified Every Step Except One. What Is The Missing Reason?

Answers

Answer 1

Given:

The statements and reasons to solve an equation.

To find:

The missing reason.

Solution:

If a, b and c are three real number, then

Associative property of addition : [tex](a+b)+c=a+(b+c)[/tex]

Commutative property of addition : [tex]a+b=b+a[/tex]

Multiplicative property of equality : [tex]a=b\Leftrightarrow ca=cb[/tex]

Distributive property of multiplication over addition : [tex]a(b+c)=ab+ac[/tex]

In the given step, [tex](x+-3)+3[/tex] is written as  [tex]x+(-3+3)[/tex].

It means, only parenthesis are changed, which is possible by Associative property of addition.

So, the missing reason is Associative property of addition.

Therefore, the correct option is A.


Related Questions

find the area of the shaded region

Answers

Answer:

D) 1,020 square units

Step-by-step explanation:

36x48=1728

24x32=768

6x10=60

1728-768+60=1020 square units

what is the slope of the line that passes through the points (4,-2) and (24,-17)

Answers

Answer:

-3/4

Step-by-step explanation:

Use the formula y2-y1/x2-x1. When you plug in your x and y's, you should get -17+2/24-4. Simplify and you get -15/20, Simplify again and you get -3/4

Mr. Perez ordered 12 new jerseys for the middle school baseball team . Each jersey costs the same amount. He paid \$|O for shipping and the total cost of the order was $190. How much was the price of each jersey ?

Answers

Answer:

each jersey was 15 dollars.

Step-by-step explanation:

190-10= 180

180/12= 15

hope this helps!!

Answer:

15

Step-by-step explanation:

Take the 10 away because it was for shipping. Do 180 divided by 12 and you get 15

When y = 7, what is the value of x?

Answers

Answer:-1 as said in the bottom of the equation

Step-by-step explanation: it is at the bottom of the equation if wrong sorry.

Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of yogurt is StartFraction 3 Over 8 EndFraction of a pound, to the nearest whole serving, how many servings of yogurt are in the container? 1 serving 2 servings 4 servings 5 servings

Answers

Answer:

4 servings

Step-by-step explanation:

Yogurt in the container = 1 5/8 pounds

A serving = 3/8 pounds

how many servings of yogurt are in the container?

Servings in the yogurt container = total yogurt in the container / yogurt per servings

= 1 5/8 ÷ 3/8

= 13/8 × 8/3

= 13/3

= 4.33

To the nearest whole serving

= 4 servings

Answer:

C

Step-by-step explanation:

Find the value of x
12x
6x+28
Your answer

Answers

Step-by-step explanation:

Hey there!

By looking at the figure, the given "2x" and "6x + 28" are co-interior angle.

So,

2x + 6x + 28 = 180°. ( sum of co-interior angle is 180°)

8x + 28°=180°

8x = 180° - 28°

8x = 152°

[tex]x = \frac{152}{8} [/tex]

X = 19°

Therefore, X = 19°.

Hope it helps...

Answer:

x=19

Step-by-step explanation:

These are same-side interior angles. The Same-Side Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the same side interior angles are supplementary. This means that the sum of the two angles is equal to 180°.

2x+6x+28=180°

8x=180-28

8x=152

x=19

MULTIPLE CHOICE
Souvenir hats, t-shirts, and jackets are sold at a rock concert. Three hats, two t-shirts, and one jacket cost $140. Two hats, two
t-shirts, and two jackets cost $170. One hat, three t-shirts, and two jackets cost $180. Find the prices of the induvial items.

Answers

Answer:

Hats cost $15, T-Shirts cost $25, Jackets cost $45

If this was helpful please mark brainliest, have a great day!

Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in
dollars for ordering 5 tickets is $108.00. Which linear function represents , the total cost, when x tickets are ordered?

c(x) = 5.50 + 20.50x

c(x) = 5.50x + 20.50

c(x) = 5.50 + 21.60x

c(x) = 5.50x + 21.60

Answers

Answer:

The correct linear function is c(x) = 5.50 + 20.50x.

Step-by-step explanation:

It's a linear function, so that means it uses y=mx+b. It says "per ticket" which means that the ticket cost is the slope, or m, of the equation. The service fee would be added on as a one-time fee, making it the y-intercept, or b. In order to find the cost of the tickets, you had to subtract the service fee from the total cost, then divide by how many tickets were purchased. You can set this up by plugging in what you know.

[tex]108=5.50+5x[/tex]

Subtract the 5.50 from both sides, leaving us with:

[tex]103.50=5x[/tex]

Now, this equation tells us how much 5 tickets cost, but we want how much it is per ticket. That means now we have to divide both sides by 5:

[tex]20.50=x[/tex]

Thus, one ticket is $20.50.

[tex]c(x)=5.50+20.50x[/tex]

The linear function is c(x) = 5.50x + 20.50

Let the cost of the tickets be represented by x

Therefore, 108 = 5.50 + 5x

Collect like terms

5x = 108 - 5.50

5x = 103.50

Divide both side by 5

5x/5 = 103.50/5

x = 20.50

Therefore, a ticket costs $20.50

In conclusion, the total cost, when x tickets are ordered will be c(x) = 5.50x + 20.50.

Read related link on:

https://brainly.com/question/17886283

IF YOU WANT BRAINLIESSSSSSSSSSSSSSSSSSST SAY, "I'M A SIMP FOR BRAINLIEST", AND I WILL GIVE U BRAINLIEST!!!!!!!! BTW, NO COPY N PASTERS, COPY N PASTERS WILL BE DISQUALIFIED.

Answers

IM A SIMP FOR BRAINLIEST

Answer:

I'M A SIMP FOR BRAINLIEST

lol

NEED HELP ASAP‼️‼️‼️
two column proof

Given: -5x+2/7 = -4; Prove: x = 6

Answers

Answer:

x = 6/7

Step-by-step explanation:

Which statement is true about the following expression?
(2 – 7)(y + 15)
O A.
The expression has 3 factors.
B.
The expression contains no factors.
С.
The expression has 1 factor.
D.
The expression has 5 factors.

Answers

Answer:

the expression has three factors

Step-by-step explanation:

(2-7y)(y+15)

2y+30-7y-105

-5y+30-105

The expression (2 – 7)(y + 15) has 1 factor.

FactorWhat is a factor?

A number or algebraic expression that evenly divides another number or expression, i.e., leaves no remainder, is referred to as a factor.

What is one degree polynomial?

An expression which has the highest power of one of the variable is called one degree or linear polynomial.

Calculate the factor of expression:

The given expression is;

(2 – 7)(y + 15)

As, the expression has variable 'y', which has the highest power of one. It means the expression is a one degree polynomial.

The factor of polynomial is always equal to its degree; here in this case it is one.

Therefore, the expression (2 – 7)(y + 15) has only one factor.

To know more about how to write and evaluate algebraic expression?, here

https://brainly.com/question/4344214

#SPJ2

NEED YOU GUYS HELP AGAIN!!​

Answers

$180/36=5
so we know 1 pound=5 dollars
10/5=2
so your answer would be
*2 pounds*

Answer:

20 lbs cost $10

Step-by-step explanation:

36 lbs= $180

x        = $10

Let's use the cross method

36*10 = 180x

360 = 180x

360/180 = 180x/180

20= x

20 lbs cost $10

I know, I was also shocked with the answer but trust me :) I checked the answer. Hope this helps!

the markup on a restaurant meal is 250%. a meal cost $7.30 to produce. how much will the customer be charged before tax and tip?

Answers

The cost of the meal would be $18.25. You can find this answer by multiplying 7.30 by 2.5, since the decimal form of 250% is 2.5.

The required amount of money that a customer be charged is, $25.55.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

The markup on a restaurant meal is 250%.

And, A meal cost $7.30 to produce.

Now, The markup price on the meal is given by,

⇒ 250% of $7.30

⇒ 250/100 × $7.30

⇒ 5/2 × $7.30

⇒ $18.25

Therefore, The amount of money that a customer be charged before tax and tip is,

⇒ $7.30 + $18.25

⇒ $25.55

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Which of these situations does not have quantities that combine to make 0.
A. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.

B. In the morning, the temperature rises 30 degrees. In the evening, it falls by 30 degrees.

C. Danny reads for 20 minutes. He then plays cards for 20 minutes.

D. A rock climber goes 40 feet down into a valley. She then goes 40 feet up a cliff.

Answers

The answer is c
When combined it equals 40

If I have (7x+3) degrees and (8x+1) degrees what would that equal

Answers

Answer:

180

Step-by-step explanation:

i just did it got it right

A 20-ounce
box of cereal
costs $3.60.

Answers

Answer:

is this the full question?

Step-by-step explanation:

To which family does the function y = (x + 2) Superscript one-half Baseline + 3 belong?
quadratic
square root
exponential
reciprocal

Answers

Answer:

option b: square root

Step-by-step explanation:

just got correct on edge 2020

The family of the function belongs to square root.

We can solve this by understanding some types of functions

What is Function?

This is an expression that relates two variable to one another.

In this question, we are looking for the family of the equation.

The function given is

[tex]y = (x + 2)^\frac{1}{2} + 3[/tex]

The options given here are

quadraticsquare rootexponentialreciprocalWhat is a quadratic equation?

This is a polynomial that the variable have the highest power of 2. An example of this is [tex]y = ax^2 + bx + c[/tex]

What is a square root

This a function in which the variable is a square root to the main function.

An example of this is [tex]y = \sqrt{x}[/tex]

What is an Exponential Function

This is a function in which one of the variable has an exponential function to the other. An example of this is [tex]y = 2e^x[/tex]

What is a Reciprocal Function

This is a function in which one of the variable is inverse to the other one. An example of this is [tex]y = \frac{1}{x}[/tex]

From the above explanation, we can see that the function

[tex]y = (x + 2)^\frac{1}{2} +3\\y = \sqrt{x+2} + 3[/tex]

is a square root function

Learn more on functions here;

https://brainly.com/question/15602982

Parallelograms PQRS and QRTU are standing on
the same base QR and between the same parallel
lines PT and QR. Prove that the area of
parallelograms PQRS and QRTU are equal.​

Answers

Uk what? Its most likely in your textbook lol

Parallelograms PQRS and QRTU have the same base QR and height. it proves that areas are equal as base × height remains constant.

To prove that the area of parallelograms PQRS and QRTU are equal,

Use the concept that parallelograms with the same base and between the same parallel lines have equal areas.

Parallelograms PQRS and QRTU

Same base QR

Between the same parallel lines PT and QR

Proof,

Draw a diagram with parallelograms PQRS and QRTU sharing the common base QR and being situated between parallel lines PT and QR.

Since PQRS and QRTU share the same base QR and are between the same parallel lines PT and QR, their heights (perpendicular distances from base QR) are equal.

Let's call this height 'h'.

The area of a parallelogram is given by the formula:

Area = base × height.

For PQRS, its area would be: Area of PQRS = QR × h.

For QRTU, its area would be: Area of QRTU = QR × h.

Since both parallelograms have the same base 'QR' and the same height 'h', their areas are equal.

Therefore, it is proved that the area of parallelograms PQRS and QRTU are equal.

learn more about parallelograms here

brainly.com/question/31220364

#SPJ2

4 (b - 3 ) = 6 steps in order from first to last

Answers

Answer:

B= 9/2 Hope this helped <3

Step-by-step explanation:

Let's solve your equation step-by-step.

4(b−3)=6

Step 1: Simplify both sides of the equation.

4(b−3)=6

(4)(b)+(4)(−3)=6(Distribute)

4b+−12=6

4b−12=6

Step 2: Add 12 to both sides.

4b−12+12=6+12

4b=18

Step 3: Divide both sides by 4

Answer:

Happy meals are a scam

Step-by-step explanation:

THEY ARE SCAM

Phillip ordered 15 small bookcases with 3 shelves each and 13 large bookcases with 5 shelves each. How many total shelves did Phillip order?

Answers

Answer:

110     Brainliest please

Step-by-step explanation:

(13x5)+(15x3)=110

Solve *
(6 + 3y2 + (9-10 + 5)

Answers

Answer:

Step-by-step explanation: The answer is

6y+10

Answer:

The answer is 6y + 10

Urgent please hurry!!

Answers

Answer:

c

Step-by-step explanation:

Answer: It is C

Hoped it helped

Step-by-step explanation:

please help asap!!

Which of the following choices will evaluate -(x^2), when x = -3?
a. 9
b. -9
c. -6
d. None of these choices are correct.​

Answers

Answer:

d

Step-by-step explanation:

D none of these choices are correct

Please help with these 2 questions!!

Answers

Answer:

for the first it's y=6x and for the second it's the last options she mad mutiplying error

Answer:

1.) y = 6x   2.) She made a multiplying error in the table.

Step-by-step explanation:

1.)

Let's find the slope:

m = 36 - 24 / 6 - 4

m = 12/2

m = 6

Therefore, y = 6x

2.)

Amanda's equation checks out. It seems her problem is her multiplying.

Help Me Please! And Hurry!

Answers

Answer:the answer is the last one

Step-by-step explanation:

The answer is the third one.

what is 1230 divided by 12

Answers

Answer:

102.5 is the answer sorry if u get I wrong

describe a pentagonal prism.

Answers

Step-by-step explanation:

A pentagonal prism is a prism having two pentagonal bases and five rectangular sides. It is a heptahedron.

The regular right pentagonal prism is uniform polyhedron . Its dual polyhedron is the pentagonal dipyramid.

The surface area and volume for the right regular pentagonal prism of unit edge length are

S = 5+1/2sqrt(5(5+2sqrt(5)))

(1)

V = 1/4sqrt(5(5+2sqrt(5))).

-
Evaluate the following expression
22 - 53 +3

Answers

Answer:

-28

Step-by-step explanation:

Remember the order of operations: pemdas (parenthesis, exponent, multiply, divide, add, subtract). Just simplify the expression.

22 - 53 + 3

(22-53) + 3

-31 + 3

-28

Answer:

Your answer is: -28

Simplify the expression.

Step-by-step explanation:

Hope this helped : )

The temperature of an enclosure for a pet corn snake should be an average of 81° F. For the well-being of the corn snake, the temperature in the enclosure should not vary by more than 5° F. Which absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure?

Answers

Answer: |81-x|<5

Step-by-step explanation:

Given: Temperature of an enclosure for a pet corn snake should be an average of 81° F.

Temperature in the enclosure should not vary by more than 5° F.

Let x= Temperature in the enclosure

Then, difference between average and current temperature should less the 5.

i.e. |81-x|<5     (required absolute value equation  )

hence, the absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure:

|81-x|<5

Using absolute value, it is found that the equation that could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure is:

[tex]|T - 81| = 5[/tex]

The absolute value function is defined by:

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

It measures the distance of a point x to the origin.

In this problem, the temperature T should be within 5º F of 81ºF, hence, the absolute value of the difference between T and 81 should be of 5, that is:

[tex]|T - 81| = 5[/tex]

To learn more about absolute value, you can take a look at https://brainly.com/question/24514895

Solve for t. 7 + 3f > 4​

Answers

Answer:

f > -1

Step-by-step explanation:

Subtract 7 from each side, so it now looks like this: 3f > -3Divide each side by 3 to cancel out the 3 next to f. It should now look like this: f > -1

I hope this helps!

Other Questions
French colonization in the Americans differed from the British experience. Which of the following statements is not true about French colonization in the Americas? a. French colonists were more interested in remaining independent fur traders than organizing a centralized government. b. French officials initially focused more on exploring their vast territory than settling it. c. The French expanded their territories in the Americas through the development of missions to convert people to Catholicism. d. The French used tenant farmers to help the colony grow. Read the paragraph max blank the book of protry aside SEP of 1 pthmwk 3.2.1The lead whose positive electrode is placed on the left leg isO A. IO B. aVRO C. IIOD. aVL identify one way in which african states or societies changed as a result of the spread of islam in the period c. 1200-1450 can y'all pleas help me with this the price of an ink cartridge for scott's printer has decreased from $15.00 to $12.00. what is the percent of decrease?a. 20%b. 25%c. 50%d. 80% PLZZZZ SOMEONE HELP!! Which of the following is not an idea from Thomas Paine's pamphlet Common Sense?A. British leaders base decisions on their own interests, not the colonies' interests.B. American colonists were from all over Europe, not just Britain. C.The British monarch should be respected as a matter of common sense.D. The American colonies would do well without any help from Britain. can someone plz help me with this question its hard ASAP Question 4Which was a major characteristic of democracy in ancient Athens? Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, or 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step? Explain. themightypen133 I NEED YOUR HELP HERE OK A family moved into an older home where at night they hear strange sounds. At 3:00 AM the children said they heard an old woman calling their name in the living room. One night when the children went to go investigate, they felt a cold, invisible hand rap around their neck and yell, "Leave this house! You don't belong here!"A. Internal ConflictB. External Conflict What is included in a cityscape?A) BuildingsB) MountainsC) Tide poolsD) All of the above Who handled southern colonies trade? Help please on number 2 math problem. The way beats feel when organized is called the Which is the answer please? PLEASE I NEED HELP ASAP ITS DUE TODAY ! and it has to be answered in 5 sentences Why did China not want to trade with other Nations? Why were other nations interested in trading withChina?! Your spiritual self is ________________.a.how you interact with othersb.personal reflection about your thoughts and feelingsc.a measure of how religious you ared.the decisions you make about your likes and dislikes Help me............. Which of the following is a homogeneous mixture .example sea water, muddy water, chalk water and oily water