10. A student solves the following problem:
Problem:
2 (x-3) + 3x = 19
2x - 6 + 3x = 19
(2x + 3x) - 6 = 19
5x - 6 - 19
Step 1
Step 2
Step 3
Step 4
Step 5
Step 6
5x - 6+ 6 = 19+ 6
5x = 25
X = 5
What property justifies step 4?
a. Commutative Property of Addition
c. Multiplication Property of Equality
b. Addition Property of Equality
d. Substitution

Answers

Answer 1

Answer:

Step-by-step explanation:

A.

Answer 2

Option A is correct. The property that justifies step 4 based on the calculation is the Commutative property of addition.

Equations are expressions separated by an equal sign.

Given the equation:

2(x-3) + 3x = 19

Expand the parenthesis using the distributive law

2x - 2(3) + 3x = 19

2x - 6 + 3x = 19

Collect the like terms

2x + 3x -6 = 19

Step 4

Since 2x+3x = 3x+2x = 5x (according to the commutative law), the expression becomes:

5x-6 = 19

Step 5

Add 6 to both sides

5x-6+6 = 19+6

5x = 25

x = 25/5

x = 5

Hence the property that justifies step 4 based on the calculation is the Commutative property of addition.

Learn more here: https://brainly.com/question/17320157


Related Questions

NEED HELP ASAP.
A linear function has a y-intercept of -12 and a slope of 3. What is the equation of the line?

Answers

Answer:

y = 3x - 12

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Chau-Ha wants to find a multiple of 2 that will form a ratio with 42 so that the ratio is equivalent to 6/2. she performs the steps below.

Step 1: Highlight the columns for 2 and 6 in the multiplication table.

Step 2: Find 42 in the column for 6, and follow the row until you reach the column for 2.

Step 3: The number 14 forms a ratio with 42.

Step 4: The ratio 14/42 is equivalent to 6/2


in which step did Chau-Ha make the first error?

0: Step 1
0: Step 2
0: Step 3
0: Step 4

~[ i apologize if i spelled anything incorrectly }~​

Answers

Answer: step 1

Step-by-step explanation: i got it right

Answer:

step 1

Step-by-step explanation:

What is 6P6 ?


36


46,656


720


1

Answers

9514 1404 393

Answer:

  6P6 = 720

Step-by-step explanation:

The notation nPk is shorthand for ...

  n!/(n-k)!

So your expression

  6P6 = 6!/(6-6)! = 6!/0! = 720/1 = 720

_____

The ! is pronounced "factorial." The factorial of a positive integer is the product of that integer and every smaller positive integer. 0! is defined as 1.

  6! = 6·5·4·3·2·1 = 720

(11,-7) (-5,-5) midpoint

Answers

Answer:

(3,-6)

Step-by-step explanation:

The midpoint is the halfway distance between two points.

11+(-5)/2, -7+(-5)/2=

11-5/2, -7-5/2=

6/2, -12/2=

(3, -6)

evaluate each expression ​

Answers

Answer:

Step-by-step explanation:

6) 4

7) 28

Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!! Show your work !!!!!!!!!!!!!!

Answers

Answer:17x

Step-by-step explanation:

Write the equation of the line perpendicular to y=4x+2 and passes though the point (1,1). PLZ HURRY!

Answers

Answer: Y= -1/4x + 1 1/4

Step-by-step explanation: Perpendicular means the slope will be negative reciprocals

Put a pic of your self while you answer I need it to make edits you can see it tomorrow on my Instagram ill comment on it, thx for the help guys
Pls make it to you because people can tell.

Answers

Hdjjxjdjdjjdjdjdjjdjfjfjjfjfhhfhfhhfhfhhfj

What value of k makes the equation true? (5a^2b^3)(6a^kb)=30a^6b^4​

Answers

Answer:

k=4

Step-by-step explanation:

Answer:

K=4

Step-by-step explanation:

edge 2021

Please help me out!

Answers

Answer: Rotate 180 degrees around the origin

You can do this clockwise or counterclockwise.

Whenever we move from one quadrant to the complete opposite quadrant like this, we perform a 180 degree rotation. Connect any preimage point to its corresponding image point, and this segment will go through the origin. This works because the origin is the center of rotation, and only works with 180 degree rotations.

The football team has a total of 20 jerseys. There are 12 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:

60 percent

Step-by-step explanation:

every 4 jerseys is 20%

4 (3x + 2)-6
I neeeed help

Answers

Answer:

12x - 2

Step-by-step explanation:

Step 1: Write expression

4(3x + 2) - 6

Step 2: Distribute 4

12x + 8 - 6

Step 3: Combine like terms

12x - 2

I need help with the slope of this line.​

Answers

The slope is 0.




The formula to find the slope is y2-y1 over x2-x1. If you plug in your numbers, you should have 5-5 over 9-10. Subtract this and you will get your slope!

PLEASE HELP ASAP

The area of a square is 400 square units. If the length of each side of the square increased by one unit, would its area be a rational number? Explain.

Answers

Answer:

yes it will be a rational number.

Step-by-step explanation:

square having area 400 sq units will have a length of 20 on each side

by increasing the lenght of each side by 1 we get 21

then the area will be 21 ^ 2 which equals 441

Therefore we get a rational number.

Find m_ABD and mZCBD given m ABC = 77º. A (3x + 22) D 16 (5x - 17) B C mZ ABD |° and mZCBD​

Answers

Answer:

∠ ABD = 49°, ∠ CBD = 28°

Step-by-step explanation:

∠ ABD + ∠ CBD = ∠ ABC , substitute values

3x + 22 + 5x - 17 = 77 , that is

8x + 5 = 77 ( subtract 5 from both sides )

8x = 72 ( divide both sides by 8 )

x = 9

Thus

∠ ABD = 3x + 22 = 3(9) + 22 = 27 + 22 = 49°

∠ CBD = 5x - 17 = 5(9) - 17 = 45 - 17 = 28°

Pour tout réel x, on pose : f(x) = -2x²+4x+6. Vérifier que (-1) est une racine de ce polynôme f. On sait que l'axe de symétrie de la parabole qui représente f est la droite d'équation : x=1. Déduire de cette information l'autre racine du polynôme f. Factoriser le polynôme f. Aidez-moi svp meci d'avance

Answers

Explication étape par étape:

Étant donné la fonction polynomiale f (x) = -2x² + 4x + 6. Pour vérifier si f (-1) est un facteur de l'expression, nous devons montrer que f (-1) est équivalent à zéro. S'il est nul, donc x + 1 est un facteur du polynôme.

Preuve

f (x) = -2x² + 4x + 6

f (-1) = -2 (-1) ² + 4 (-1) +6

f (-1) = -2 (1) -4 + 6

f (-1) = -2-4 + 6

f (-1) = -6 + 6

f (-1) = 0

Puisque f (-1) = 0, donc x + 1 est un facteur du polynôme.

Ensuite, il faut obtenir l'autre racine du polynôme. Pour obtenir cela, nous devons factoriser la fonction polynomiale donnée.

Soit f (x) = 0

-2x² + 4x + 6 = 0

multiplier par -1

2x²-4x-6 = 0

diviser par 2

x²-2x-3 = 0

x²-3x + x-3 = 0

x (x-3) +1 (x-3) = 0

(x + 1) (x-3) = 0

x + 1 = 0 et x-3 = 0

x = 1 et x = 3

Par conséquent, l'autre racine du polynôme en dehors de 1 est x = 3

Simplify: (4 – 5) – (13 – 18 + 2).

(a) -1,

(b) –2,

(c) 1,

(d) 2.

Answers

Answer:

1 is corr

Step-by-step explanation:

I might be wrong sorry if I am

Answer:

C. 1

Step-by-step explanation:

Is this right? Also what do I have to right in the box.

Answers

Answer:

WHAT IS RIGHT

Step-by-step explanation:

Is this right? Also what do I have to right in the box. WHAT IS...

2(3−8y)=? Does anyone know what this is?

Answers

Answer:

i think it’s y = -3/4

Step-by-step explanation:

Pls help me with this! (10 points)THANK YOU
answers:
Piecewise
Square root
Absolute Value
Cube root
Exponential
Linear
Quadratic
Step

Answers

Answer:

Linear

Step-by-step explanation:

Straight Line = linear

x =
y =
z=

I need to find x,y,z we’re working with transversals please help

Answers

X=40
Y=30
Z=90

Gshshba and hazel brown eyes and brown green green brown brown orange orange and brown orange green brown orange

-3n-4n-17=25
What is n?

Answers

Answer:

-6

Step-by-step explanation:

add -3n and -4n= -7n

add 17 to 25

-7n=42

n=-6

The following triangles are congruent (Equal) according to :
A) AAS
B)SAS
C)SSS
D)ASA

Answers

D is the answer according to the picture of my knowledge
I belive i have done this before on accident but got it right im pretty sure it was D

A gym membership costs $110 to open and $30 per month after
1. What is the dependent and independent variable
2. Explain how you know the variables are independent or dependent
3. Is the relationship linear or non linear? Explain your reason
4. Do you think that given enough information you could create a table,graph, and an equation for the function? Why or why not
5. What information would you need to make your table/graph/equation?

Answers

Answer:

1) The dependent variable is the monthly charge and the independent variable is the $110 to open the membership.

2)The dependent variable is the monthly charge because it will change depending on how many months you plan to keep your membership.

3)This relationship is linear because it will go up by $30 every month.

4)You could create a graph off of this information because all you would need to do is graph the cost each month.

5)I would need the number of month that I would keep the membership going and the amount that i have already paid.

X Maren's kitten weighs 86.23 ounces. Lynn's kitten weighs 67.74 ounces. How much more does Maren's kitten weigh than Lynn's kitten? o A. 18.49 ounces O B. 18.59 ounces O C. 19.51 ounces D. 19.59 ounces URGENT PLS HELP​

Answers

Answer:

18.49

Step-by-step explanation:

just subtract 86.23 - 67.74

Answer:

18.49

Step-by-step explanation:

Combine the following and write in standard form.
(7 + 5) + (-6 - 81)

Answers

Answer:

without exponents its -75 since i thought those last 2 were exponents.

What is the value of the expression -8mutiplied by 3.2

Answers

Answer:

-25.6

Step-by-step explanation:

please solve 5 a only if you can....​

Answers

Answer:  Exact length: OP = 6*sqrt(2) centimetersApproximate length: OP = 8.48528 centimeters

====================================================

Explanation:

Check out the diagram below. I recreated the diagram in your textbook, but I added on a few other points and segments.

Point E is the midpoint of segment AB. Segment OE is perpendicular to AB.

Point F is the midpoint of CD. Segment OF is perpendicular to CD.

Right triangle AOE forms with OA = 10 as the hypotenuse (radius of the circle) and AE = 8, since E cuts AB in half.

Use the pythagorean theorem to find that...

a^2+b^2 = c^2

(AE)^2 + (OE)^2 = (OA)^2

8^2 + (OE)^2 = 10^2

64 + (OE)^2 = 100

(OE)^2 = 100-64

(OE)^2 = 36

OE = sqrt(36)

OE = 6

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

Because chord CD is the same length as chord AB, this means the chords are the same distance from the center point O.

So, OE = OF = 6

Since we have rectangle OEPF, the opposite sides are congruent and we can say OF = EP = 6

Now focus on right triangle OEP. Use the pythagorean theorem again

a^2+b^2 = c^2

(OE)^2 + (EP)^2 = (OP)^2

(6)^2 + (6)^2 = (OP)^2

72 = (OP)^2

(OP)^2 = 72

OP = sqrt(72)

OP = sqrt(36*2)

OP = sqrt(36)*sqrt(2)

OP = 6*sqrt(2)

Wally's grandmother started a college savings account for him with
$3,000. What is the total amount of money in the account after 5 years if
the annual simple interest rate is 3%?
I need this plz help explain the proses thx ASAP

Answers

Answer:

$450

Step-by-step explanation:

You want to calculate the interest on $3000 at 3% interest per year after 5 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $3000.00.

r is the interest rate, 3% per year, or in decimal form, 3/100=0.03.

t is the time involved, 5....year(s) time periods.

So, t is 5....year time periods.

To find the simple interest, we multiply 3000 × 0.03 × 5 to get that:

The interest is: $450.00

Usually now, the interest is added onto the principal to figure some new amount after 5 year(s),

or 3000.00 + 450.00 = 3450.00.

Y = -(X +5) + X +4 if X = -4, Y = ?

Answers

Answer:

y=-1

Step-by-step explanation:

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