What is the justification for each step in the solution of the equation?

54+2x=5x−3(2+6x)

Select from the drop-down menus to correctly justify each step.

54+2x=5x−3(2+6x) Given

54+2x=5x−6−18x Choose....Addition property of equality, Distributive property, or multiplication Property of equality

54+2x=−13x−6 Combine like terms
54=−15x−6 Subtraction Property of Equality

60=−15x Choose......Addition property of equality, Distributive property, or multiplication Property of equality

−4=x choose........Addition property of equality, Distributive property or equality, or multiplication Property of equality

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

54+2x=5x−3(2+6x) Given

Distribute the -3 to all the terms in the parentheses

54+2x=5x−6−18x  Distributive property

54+2x=−13x−6 Combine like terms

Subtract 2x from each side

54=−15x−6 Subtraction Property of Equality

Add 6 to each side

60=−15x Addition property of equality

Divide each side by -15 ( or multiply each side by -1/15)

−4=x multiplication Property of equality


Related Questions

x²=169 extracting square root​

Answers

Answer:

x = ± 13

Step-by-step explanation:

Given

x² = 169 ( take the square root of both sides )

x = ± [tex]\sqrt{169}[/tex] = ± 13

Since 13 × 13 = 169 and - 13× - 13 = 169

g(r) = -5r+13
g(3)=_______
PLEASE HELP ME URGENT ASAPPPPP PLEASEEEE

Answers

-5(3)+13 would be -15+13, so the answer would be -2

Which of the following are exterior angles? Check all that apply
A. <4
B. <1
C. <2
D. <5
E. <6
F. <3

Answers

Answer:

A4 c2. e6.

Step-by-step explanation:

Apex

2. Jacob deposited $6,000 into an account that offers 4.5% interest compounded annually.
He makes no additional deposits or withdrawals.
Which amount is closest to the interest Jacob will have earned at the end of 10 years?
A $9,317.82
B $270.00
C $3,317.82
D $2,700.00

Answers

Answer: a

Step-by-step explanation:

Kalie pays $9.24 for 11 pounds of flour. What is the price per pound of flour?

Answers

Answer:

$0.84, 84 cents per pound.

Step-by-step explanation:

I hope that this helps. Have a good day!!

9.24 ÷ 11 = 0.84

Hydrochloric acid (HCl) is combined with cesium hydroxide (CsOH) in a neutralization reaction.
Which ions will combine to form a salt? Check all that apply.
A. H+
B.H3O+
C.Cl-
D.Cs+
E.OH-

Answers

Answer:

HCl + CsOH --> CsCl + H2O

So the ions making up the salt: Cl- and Cs+

Answer:

H+

H3O+

C. Cl-

D.Cs+

OH-

Which expression is equal to -6(-2/3 +2x )?

Answers

Answer:

4 + -12x

Step-by-step explanation:

Or -12x + 4, but I'm not really sure because you didn't give the answer choices :(

1. What number is in the hundreths place in 378.9652?
(1 Point)

Answers

Answer:

.06

Step-by-step explanation:

.9 is the tenths, .06 is the hundredths, .005 is the thousandths, .0002 is the ten thousandths.

Answer:

6

Step-by-step explanation:

The hundreths place is the second spot behind the decimal point, so it would be 6.

The diagram shows a right-angled triangle.
13 cm
24°
hcm
What is the value of h?
qive your answer correct to 1 decimal place.

Answers

Answer:

11.9cm

Step-by-step explanation:

cos = adj/hyp

cos 24°= hcm/ 13cm

13 cos 24°= h

11.88= h

11.9 cm

Write down the value of angle x.
Write the value of angle y.

Answers

Answer:

angle y = 63

x= 49 ( v.o.a)

Step-by-step explanation:

Answer:

x=49

y=63

Step-by-step explanation:

X is 49 because it's opposite the other angle that's 49

y is 63 because along with that other angle that's 63 it's alternate to that other angle. Alternate angles are equal btw.

Have a good time and feel free to ask me again.

what is 0.8 1/10 of?

Answers

I don’t know:) but I need points because I just got yeeted out of my other acc so I had to make this

Admission to a museum of natural history is 12 for adults and 6 for children. On a particular day, 500 people attend the museum and collect 5,160 in admissions.
Write a system of equations that can be used to find the number of adults tickets and child tickets.
How many adult tickets were sold?
How many child tickets were sold?

Answers

Answer:

bruh what are those prices i can just look this up on google lul

Step-by-step explanation:

1+9+8f2–4+9f2
simplify please and thank u im in the middle of a very anoying ixl and it keeps droping then rising and im stuck at a 60

Answers

Answer:

Changes made to your input should not affect the solution:

(1): "f2" was replaced by "f^2". 5 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

(((((f2)+(9•(f2)))-(5•(f2)))+(4•(f2)))+(3•(f2)))+7f2

STEP

2

:

Equation at the end of step

2

:

(((((f2)+(9•(f2)))-(5•(f2)))+(4•(f2)))+3f2)+7f2

STEP

3

:

Equation at the end of step

3

:

(((((f2)+(9•(f2)))-(5•(f2)))+22f2)+3f2)+7f2

STEP

4

:

Equation at the end of step

4

:

(((((f2)+(9•(f2)))-5f2)+22f2)+3f2)+7f2

STEP

5

:

Equation at the end of step

5

:

(((((f2)+32f2)-5f2)+22f2)+3f2)+7f2

STEP

6

:

Final result :

19f2

Step-by-step explanation:

make me as brain liest

Answer:

17f^2-6

Step-by-step explanation:

all you have to do is combine all the like terms

what is the GCF to 12,30

Answers

Answer: GCF(12,30) = 6

Answer:

6

Step-by-step explanation:

6 times 2=12

6 times 5=30

6 is the hghest number that can go into both. Making it the greatest common factor

4x - 5y - z= 18
-2x - 5y -2z= 12
-2x + 5y + z = 4

Answers

Answer:

x=-4, y=0, z=-2

Step-by-step explanation:

PLEASE GOD IM BEGGING YOU LEGITMENTALLY ANWERS THIS QUESTION

Answers

Answer: we can not see the question

3) 92 students were surveyed about their elective classes for the first semester. The
following were the results of the survey:
50 students take art
35 students take music
40 students take drama
20 students take music and art
24 students take drama and music, 19 students
take art and drama, 17 students take all three classes
How many students are not in any of the 3 classes?
PLS HELP I HAVE TRIED THREE TIMES. GEOMETRY SOLVE WITH A VENN DIAGRAM

Answers

Answer:

I believe that the answer is that 13 students don't take any of the three classes.

At 8:00 a.m., the temperature was −6°F. By noon, the temperature had risen by 9°F. What was the temperature at noon?

Answers

The answer is orange because I think that is the answer

18m−13m=25 plz help bbbbbnnnnnnnnn

Answers

18m−13m=25

5m=25

m=25/5

m=5

Answer:

m = 5

Step-by-step explanation:

18m - 13m = 25

Step 1 :- Combine like terms.

5m = 25

Step 2 :- Divide both sides by 5.

[tex] \sf \frac{5m}{5}[/tex] = [tex] \sf \frac{25}{5}[/tex]

m = 5.

I WILL MAKE YOU BRAINLESS
Evaluate a/b for a = 1/2 and b = -3/7
please explain your answer

Answers

Answer:

- 1 1/6

Step-by-step explanation: This is equal to 1/2 / -3/7. To divide, we take the reciprocal of the second number and multiply by the first. 1/2 * -7/3.

Answer:

-7/6

Step-by-step explanation:

1/2 / -3/7

(A little trick i learned with dividing fraction Keep Switch FLip)

Keep the 1/2

switch the sign to a x

and flip the second fraction -7/3

1/2 x -7/3

-7/6

As people entered the gym for a volleyball tournament, members of the pep club were
selling $3 raffle tickets for a tablet and $4 raffle tickets for a gaming system. The number
of $4 tickets sold was four more than one half the number of $3 tickets sold. The pep club
raised $636 from the ticket sales. Write a system of equations to represent the
given scenario

Answers

Answer:

64839 time is mistake for girls

Step-by-step explanation:

mark me BRAINLIEST

Answer:for school fundraiser ,you sold 33 raffle tickets and you friend sold 15 raffle tickets write the ratio of tickets you sold to tickets your friend sold as a fraction in simplest form

En una escuela hay 135 mujeres y la razón entre hombres y mujeres es de 7 a 9. ¿Cuántos estudiantes hay en la escuela? *

Answers

Answer:

There are 531.5625 students which is 531 students in the school

Step-by-step explanation:

We add the ratio numbers ( 7 + 9 = 16)

We then divide that number by 135 ( 135 / 16 = 8.4375)

After we multiply by each ratio number, ( 7 and 9).

And we end up with 531.5625, also 531 students.

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

Hay 531.5625 estudiantes, que son 531 estudiantes en la escuela.

Explicación paso a paso:

Sumamos los números de razón (7 + 9 = 16)

Luego dividimos ese número por 135 (135/16 = 8.4375)

Después, multiplicamos por cada número de razón (7 y 9).

Y terminamos con 531.5625, también 531 estudiantes.

What is the unit rate for the ratio 280 students/8 buses =​

Answers

Answer:

35 children for every 1 bus

Step-by-step explanation: :) i hope i helped

35:8 ( 35 students for each bus)

True/False: Every positive number has a positive and a negative square root.

Answers

Answer:

True, explanation, lets hope I had a good math teacher lol

Mrs. Barkley is teaching a class in which the students are decorating gift boxes. She wants the students to decorate gift boxes using a ratio of 4 gems for every 3 ribbon flowers.

Dan used 20 gems for every 15 ribbon flowers.
Mary used 22 gems for every 18 ribbon flowers.
Nancy used 18 gems for every 24 ribbon flowers.
Jason used 26 gems for every 20 ribbon flower.

Which student used the correct ratio?

Answers

Dan used 20 gems for every 15 ribbon flowers

answer please this question​

Answers

Answer:

p = 4√5

Step-by-step explanation:

To solve for P, we can use the Pythagorean theorem.

a²+b²=c²

(8)²+(p)²=12²

64+p²=144

p²=80

√p=√80

p = 4√5

Karen reads an average of 50 pages per day. d Suppose Karen reads 50 pages per day during the week, but then reads 1.5 times as many pages on Saturday and Sunday. How many pages total will Karen read on Saturday and Sunday? HELP HAVING BAD DAY

Answers

Answer:

150

Step-by-step explanation:

50*1.5=75  75*2=150. Hope your day gets better =)

ASAP PLS ILL GIVE BRAINLIEST

coordinate plane with points at A 0 comma 2 and B 2 comma 0 intersected by line f Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related? A) The locations of A' and B' are A' (0, 2) and B' (6, 0); lines f and f' intersect at point A. B) The locations of A' and B' are A' (0, 6) and B' (2, 0); lines f and f' intersect at point B. C) The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line. D) The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

Answers

Answer:

D (0,6) (6,0)

Step-by-step explanation:

when you multiply it you do the x coordinates first then the y.

so (0,2)  x 3 = (0,6)

(2,0) x 3 = (6,0)

These coordinates are parralel to each other.

The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel, the correct option is D.

What is Transformation?

Transformation is the process of changing the graph to a new graph by Rotation, Reflection, Translation, and Dilation.

Dilation is a process in which the object or the graph is enlarged or compressed by a scale factor.

The coordinates of A( 0, 2)

The coordinates of B(2,0)

The scale factor is 3

The center of dilation of f is at the origin to create line f'.

The points A and B lie on the line f, when line f is dilated, the coordinates will also get dilated.

The coordinate of A after dilation is 3 * (0,2)

A' = (0,6)

The coordinate of B after dilation is 3 * (2,0 )

B' = (6,0)

The line f' will be parallel to the line f.

To know more about Transformation

brainly.com/question/11709244

#SPJ5

6.7 x 10 to the power of 1

Answers

Answer:

61 hope this helps

Step-by-step explanation:

72h-35h-12 please help me

Answers

Answer:

37h−12

Step-by-step explanation:

(72h−35h)−12

37h−12

Answer simplify: 37h-12
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