Kelsey solved the following equation:

7x − one over two (8x + 2) = 6

Step Work Justification
1 7x − 4x − 1 = 6
2 3x − 1 = 6
3 3x = 7
4 x = 7 over 3
Which of the following has all of the correct justifications Kelsey used to solve this equation?

Question 8 options:

1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality


1. Multiplication property of equality 2. Combine like terms 3. Addition property of equality 4. Division property of equality


1. Distributive property 2. Combine like terms 3. Subtraction property of equality 4. Division property of equality


1. Multiplication property of equality 2. Combine like terms 3. Subtraction property of equality 4. Division property of equality

Answers

Answer 1

9514 1404 393

Answer:

  (a) 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality

Step-by-step explanation:

Replacement of -1/2(8x +2) by -4x -1 is use of the distributive property, eliminating choices B and D.

In step 3, addition of 1 to both sides of the equation is use of the addition property of equality, eliminating choice C. This leaves only choice A.

_____

Additional comment

This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.

In general, you want to add the opposite of the number you don't want. Here, that number is -1, so we add +1. Of course, adding an opposite is the same as subtracting.

In short, you can argue both choices A and C have correct justifications. The only reason to prefer choice A is that we usually think of adding positive numbers as addition, and adding negative numbers as subtraction.

Answer 2

Answer:1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality

Step-by-step explanation:


Related Questions

what is the population of nepal​

Answers

28.61 million (2019)

29,136,808 people (2020)
Nepal 2020 population is estimated at 29,136,808 people at mid year according to UN data. Nepal population is equivalent to 0.37% of the total world population. Nepal ranks number 49 in the list of countries (and dependencies) by population.
28.61 million (as of 2019)

A tower is 320 feet tall. A model is being built for an architecture project and the model is 8 inches tall. Write the
information that completes the scale for the model. Complete them so the 320 foot height of the tower and the 8 inch height
of the model are still valid for every case.
16 inches : ______ feet

Answers

Answer:

640 feet

Step-by-step explanation:

8 = 320

16 = 640

Answer:

640

Step-by-step explanation:

8-->16

320-->640

How many kilograms of tin will be required to make 250 kg of an alloy, if the alloy must contain 81% copper, 14% tin and 5% lead?

Answers

Answer:

35

Step-by-step explanation:

all are obeying a constant ratio

copper 81tin 14⇒?lead 5total 100 ⇒250?=250*14/100=35
the answer is 35bb. good luck. by.

Students in Ms. Bell’s geometry class created posters of geometric definitions. Which of the following is the most precise definition?


A. Parallel lines are lines that do not intersect.

B. A line segment is part of a line that has an endpoint.

C. Perpendicular lines are lines that intersect at a right angle.

D. An angle is formed by two lines, two segments or two rays in one plane.

Answers

Answer:

C

Step-by-step explanation:

D is missing 2 ideas.

An angle can be formed by a mixture of the types of figures quoted.An angle has common or shared endpoint.

B: to me is unclear. A line does not have an endpoint. A ray does.

A: you need to mention that the lines are coplanar.

I think, brief though it is, C is the most complete and at the same time simplest choice.

16. Simplify: look at picture
please give detailed steps!!

Answers

Answer:

[tex] 2\sqrt{3} [/tex]

Step-by-step explanation:

1. Expand the expression

[tex] \frac{6}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

2. To multiply the fractions, multiply the numerators and denominators seperately

[tex] = \frac{6 \sqrt{3} }{ \sqrt{3} \sqrt{3} } [/tex]

3. Calculate the product : when a square root of an expression is multiplied by itself, the result is that expression.

[tex] \frac{6 \sqrt{3} }{3} [/tex]

4. Reduce the fraction with 3 and the solution is :

[tex] = 2 \sqrt{ 3} [/tex]

What’s x = in this equation

Answers

Answer:

5m

Step-by-step explanation:

Applying Pythagoras theorem:

a² + b² = c² (where a is base length, b is the height and c is the hypotenuse of the right triangle)

3² + 4² = c²

c² = 9 + 16 = 25

c = x = [tex]\sqrt{25}[/tex] = 5

∴ x = 5m

a Find the sum of interior angle of the heptagon

Answers

Answer:

sum of the interior angles=900°

Answer:

900°

Step-by-step explanation:

To find any shape sum of interior angles ,

we use the formula,

(n-2)180°, where n is the number of sides

So for heptagon,

n=7

using formula,

(7-2)180°

=> 5(180)

=> 900°

need the answer as soon as possible

Answers

Answer:

soln

Step-by-step explanation:

=21÷x-2s

=21÷7-2×9

=3-18

=-15

Joshua spent 3/100 of the money he earned from mowing lawns on a gift for his mother.com what percent of his earning did Joshua spend?

Answers

He spent 3% of his money!

Answer:

3%

How did I get it?

3/100 as a decimal is 3% (3%/100)

Suppose an ATM PIN must consist of 6 numbers from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, with repeats allowed. For example, an acceptable PIN could be 955123.
1. How many possible ATM PINs are possible?
2. If someone had one attempt to guess an ATM PIN, what is the probability they would guess correctly with one attempt?

Answers

Answer:

1) the no. of possible pins are 6×5×4×3×2×1

=720

2) the probability is 1/720

Find the number of steel ball bearings, each of diameter 0.7 cm, which can be made from 1 kg of steel, given that 1 cm' of steel has a mass of 7.85 g.​

Answers

Answer:

707.7, or 707

Step-by-step explanation:

0.18 x 7.85 g = 1.413 g/one bearing. Total amount of bearings: 1kg = 1000 g/1.413

Please Help!!! Will give brainliest

Answers

Answer:

except of (g) all limits exist

Step-by-step explanation:

All the solutions are in the picture.

A line passes through the point (-4,-6) and has a slope of -5/2. Write an equation in slope intercept form for this line

Answers

Answer:

y= -5/2x-16

draw the point on the graph and use rise over run to find the y intercept

Answer:

y= -5/2x-16

Step-by-step explanation:

hope it helps

hope its right :)

please help me answer this question.

Answers

Answer:

702 feet

Step-by-step explanation:

(24×27)+(9×6) = 702

John's bank account was overdrawn. The status of his account was -$133. He did not realize the problem and wrote another check for $55. The bank charged him a $22 fee for being overdrawn.

What was the new status of John's account at this point?

Answers

Answer:

210

Step-by-step explanation:-133-55-22=210

Please help with this question

Answers

Answer:

bdjjirलअाफखनल पनपअ लbबजदहडनदजडनफjnnkdffruidirbttjt tjrjnf h

Step-by-step explanation:

uuhsbd?eg\bnothing hereafter hgbg

Define bisector of a line​

Answers

Answer:

The line that divides something into two equal parts. You can bisect line segments, angles, and more.

Step-by-step explanation:

A bisector is what divides a line into two equal parts.

Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets of information and the number of bits. Be sure to define your variables.

Answers

Answer: 8b

Step-by-step explanation:

Equation:

Let b equal the number of bytes

byte = 8b

helpppp timed on this helppp me quick brainleast

Answers

Answer:

Answer 1

Step-by-step explanation:

Hey here! This is your answer:

L = 9

Step-by-step explanation:

Using the formula A = wl we can figure out this question.

[tex]l=\frac{A}{W} = \frac{36}{4} =9[/tex]

PLEASE HELP MEEEEEEEEEEEEEEEEE​

Answers

Answer:

A. .25

B. .95

C. .75

D. .42

Step-by-step explanation:

A 25
B 95
C 75
D 40

Mark as brainlist please

√400=x² what is x? Thanks

Answers

Answer:

x=4.47213

I hope it's helps you

this isn’t a question but to everyone who’s actually good at math thank you so much for taking the time to answer these questions.

Answers

Answerurdsrd d e

Step-by-step explanation:

In a competitive examination negative marks of 2 are awarded for each wrong answers and 4 marks for every correct answer. If neerav gets 15 correct answers and 5 wrong answers and rajan gets 14 correct answers and no wrong answers, who gets more marks and by how much?

Answers

9514 1404 393

Answer:

  Rajan gets 6 marks more

Step-by-step explanation:

Neerav's marks are (15)(4) +(5)(-2) = 60 -10 = 50.

Rajan's marks are (14)(4) = 56.

Rajan gets 6 more marks than Neerav.

a student multiplied 7236 by 65 instead of multiplying 56 . by how much was the answer greater than the correct answer (hint : do you need to do both the multiplication)​

Answers

Answer:

65124

Step-by-step explanation:

The student's solution when he/she multiplied the wrong given:7236 × 65= 470340The student's solution when he/she multiplied the correct given: 7236 × 56= 405216Measure how much was the wrong answer greater than the correct answer:470340 - 405216= 65124

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

help me plz branniest to whoever right

Answers

[x+(-2)]÷2=5
(y+6)÷2=8

x=12
y=10
(x, y)=(12, 10)

Hope my answer helped u :)

5*213 is a 5 digit number replace the * number by smallest digit to make them divisible by 3​

Answers

Answer:

1

Step-by-step explanation:

that is the answer

because 51213÷3=17071

4
...................

3 - 2 + 6 - 1 steps to please

Answers

Answer:

the answer is 6

hope this helps:)

Answer:

6

Step-by-step explanation:

3-2 = 1

6-1= 5

5+1= 6 this is the answer hope it is help for u

2x ^ 4 What is being raised to the exponent ?

Answers

The power 4 is being raised to the EXPONENT

Answer:

x

Step-by-step explanation:

Given

2[tex]x^{4}[/tex] ← the exponent 4 is attached to the variable x only

[tex](2x)^{4}[/tex] = [tex]2^{4}[/tex] [tex]x^{4}[/tex]  where the 4 is attached to both the 2 and the x

Math- what’s 2+2 and how is it calculated

Answers

Answer:

4

Step-by-step explanation:

we have 2oranges from you and another 2oranges from your friend, you have 4oranges, simple

Point H is located at (-3,-2) on the coordnate plane. Point H'. What ordered pair describes the location of H'?

Answers

Answer:

You bought a

Step-by-step explanation:

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