Justify each step and explain your reasoning.
3(4x+6)=x-4

Answers

Answer 1

Answer:

x = −2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(4x+6)=x−4

(3)(4x)+(3)(6)=x+−4(Distribute)

12x+18=x+−4

12x+18=x−4

Step 2: Subtract x from both sides.

12x+18−x=x−4−x

11x+18=−4

Step 3: Subtract 18 from both sides.

11x+18−18=−4−18

11x=−22

Step 4: Divide both sides by 11.

[tex]\frac{11x}{11}[/tex] = [tex]\frac{-22}{11}[/tex]

x = −2


Related Questions

There are 54 students on a school bus. The number of high school
students is 3 more than twice the number of middle school students.
How many of high schoolers are on the bus? State your answer in a
sentence.

Answers

Answer: there are 37 high school students on the bus

Step-by-step explanation:

h+m=54   total number of students

h= 2m+3 total number of HS students

2m+3+m=54    Substitute 2m+3 in for h

3m+3=54

3m=51

m=17

h+17=54

h= 37

In parallelogram ABCD, if ED = 7x - 13 and BD = 16x - 38, find BD.

Answers

Answer:

58

Step-by-step explanation:

The length of BD is 58  units.

What are properties of parallelogram?

The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. A parallelogram's total square sum and total square sum of its diagonals are equivalent. Additionally known as the parallelogram law.

Given:

ED = 7x - 13 and BD = 16x - 38

So, the Diagonals of parallelogram bisect each other

BD = ED+ EB

16x - 38 = 2 ED   { ED= EB}

16x - 38 = 2 (7x- 13)

16x - 38 = 14x - 26

2x = 12

x= 6

So, length of BD = 16(6) - 38 = 96- 38 = 58 units

Learn more about properties of parallelogram here:

https://brainly.com/question/26651476

#SPJ2

Laura borrowed $1,990 at 5% for 2 years. what was the total interest?

Answers

Answer:

$199

Step-by-step explanation:

I = Prt

I = (1990)(0.05)(2)

I = 199

At a school, there are 526 students and 263 are girls. About how likely is it that a randomly chosen student will be a boy?

◯ unlikely
◯ somewhat likely
◯ very likely
◯ equally as likely as unlikely

Answers

-> equally as likely as unlikely
It‘s 50/50

Eight friends are going skiing. They are paying a group rate of $264 how much does each friend need to pay? Show your work

Answers

Answer: Each person pays 33 dollars.

Step-by-step explanation: If the group pays 264 dollars and we assume each person pays the same we divide 264/8 to get 33 dollars per person.

$264/8=$33
Each friend needs to pay $33

Please help me (If you don't know please don't answer)

Convince yourself that there are 3 similar triangles in the diagram. Choose the proportionality statement that represents the relationship among the 3 triangles.

Question options:
1. ABAC=ACCB=CBAD
2. ABAC=ADAC=CBCD
3. ABAC=ACAD=CBCD

Answers

Answer:

1

Step-by-step explanation:

bc its the anwser

Simplify the following expressions:
1. 3.46 + 0.6729 + 246.10​

Answers

Answer: 250.2329

Step-by-step explanation:

hi please help i’ll give brainliest please

Answers

Answer:

its c

Step-by-step explanation:

Answer:

28y + 63 (second option)

Step-by-step explanation:

7(4y + 9)

7 x 4y (28y)

7 x 9 (63)

you would multiply 7 and 4y to get 28y and then multiply 7 and 9 to get 63 and you would add the plus sign to get the full answer which is 28y+63

6m+27=8.25m
m=?
HELPPP

Answers

Answer:

12

Step-by-step explanation:

This is correct. Trust me.

I'm glad I could help:)

6m+27=8.25m

You have to subtract 6m on both sides first.

6m+27=8.25m

-6m       -6m

27=2.25m

Now we divide 2.25 from both sides.

27=2.25m

/2.25 /2.25

12=m

---

hope it helps

I need help with my homework please scan this. (Its Fractions)

Answers

Answer:

ok...

Step-by-step explanation:

sus but ok

How to find a function value​

Answers

Answer:

To find function values is the process of evaluating the function for given values of x. Example #1 If f (x) = x 2 + 4x + 3, find function values f (0), f (-2), and f (3). f (0) = 0 2 + 4 (0) + 3

Step-by-step explanation:

I need help ASAP Will give brainliest

Answers

35.4 is your answer, i believe

Find m<1
A.16
B.76
C.96
D.106

Answers

106 is the answer hope it really helps yhu

The radius of the circle is 2 units

Answers

Answer:

Diameter is basically double the radius, a physical representation of it is a full line that goes across the middle of the circle, if that makes sense. So you do 2 x 2 = 4 units

Hope that answers your question

for each pair to triangles state the postulate or theorem that can be used to conclude that the triangles are congruent

Answers

Help me please help help

Answer:

did u get the answer please let me know i need it lol

Step-by-step explanation:

what is 2g-3+11-8g simplified please help me

Answers

Answer:

Step-by-step explanation:

2g-3+11-8g= -6g+8= 2(-3g+4)

In the figure, identify the types of angles in the table below .

Answers

Answer:

∠1 and∠3 = Supplementary Angles

∠4and∠5 = Complementary Angles

∠5and∠1 = Adjacent Angles

∠2and∠3 = Supplementary Angles

Someone help please and please make sure the answer is right

Answers

Answer:

the answer is 7

Step-by-step explanation:

-5
X + 80 = 75
-5 + 80= 75

A circle has an area of 127 cm?. Find its circumference. (Round your answer to the
nearest tenth.

Answers

≈39.95

A Area  

127

d

r

r

r

d

d

C

A

Using the formulas

A=πr2

C=2πr

Solving forC

C=2πA=2·π·127≈39.94908

Answer:

39.95

Step-by-step explanation:

A ladder is leaning against
a brick building as shown in the figure. What
is the length of the ladder?
x ft
20 ft
15 ft

Answers

Answer:

25 ft

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

15^2 + 20 ^2 = x^2

225+400= x^2

625 = x^2

Take the square root of each side

sqrt(625) = sqrt(x^2)

25 = x

Rachel is a stunt driver, and she's escaping from a building that is about to explode!
The variable d models Rachel's distance from her exit (In meters) t seconds after the cameras began recording the stunt

What is Rachel's speed?​

Answers

Answer:

The variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt. d = - 38t

Step-by-step explanation:

From given, we have,  The expression that represents the Rachel's distance is given by, d = - 38t + 220                                                                      

where, d represents the distance in meters

            t represents the time in seconds                                                              

 

We know that, speed = distance by time.  Therefore, we need to differentiate the given equation w.r.t to time to find the speed.

we have,  d/dt (d) = d/dt [- 38t + 220]

| d/dt (d) | = | - 38 + 0 |

s =  d/dt (d) = 38 m/s

Therefore, the speed of Rachel is 38 m/s.

Answer:

38 meters per second

Step-by-step explanation:

Hope this helps!

Kenny wants to learn how to serve overhand in volleyball. When he practiced yesterday, he made 7 serves over the net for every 2 serves that did not go over the net.If Kenny attempted 36 serves yesterday, how many serves did he make over the net?

Answers

Answer: 28

Step-by-step explanation:

Given

Kenny made 7 serves over the net for every 2 serves that did not go over the net i.e. success rate of Kenny is

[tex]\Rightarrow \text{success rate}=\dfrac{7}{2+7}\times 100=\dfrac{700}{9}\%[/tex]

for 36 serves, applying the same success rate, it is

[tex]\Rightarrow \text{success rate}=\dfrac{700}{9}\times\dfrac{1}{100}\times 36=28[/tex]

Serves that did not make over the net is [tex]36-28=8[/tex]

Thus, Kenny will make 28 serves that make over the net

Amy earned $25 after
babysitting for 3 hours. If
she dways charges the
same rate, how much will she
make after working for 7
hours

Answers

Answer:

58.33

Step-by-step explanation:

8.33 per hour

Mulitply by 7 and get 58.33

25/3 = 8.33

8.33 x 7
58.31

Answer: $58.31 but you can round this off to $58 also

Help me pls i need help ‼️‼️‼️

Answers

Answer:

C. 3x+2=4

Step-by-step explanation:

6x+4=8

Subtract 4 from both sides.

6x=4

Divide both sides by 6

x=4/6

Simplify it

x=2/3

3x+2=4

Subtract both sides by 2

3x=2

Divide both sides by 3

x=2/3

Hope this helps

Answer and Step-by-step explanation:

The correct answer choice is answer choice 3. [ 3x + 2 = 4 ]

6x + 4 = 8

6x = 4

x = 2/3

_________________________________________________________

3x + 2 = 4

3x = 2

x = 2/3

#teamtrees #PAW (Plant And Water)

What is the x-intercept for (-4,-4), (2,-2)

Answers

i'm pretty sure it's (8,0)

complete this please, i really need your help ")​

Answers

Answer:

²,2.5,2.5+10,25.0

may it help you

Mark works at Target. He works 4 hours a day for a total of 120 days of the year. His hourly rate of pay is $12.50 . How much can he expect to make annually prior to deductions?

Answers

Answer:

$6000

Step-by-step explanation:

annual income = total hours worked x hourly rate

total hours worked = total hours worked per day x total days worked in a year

120 x 4 = 480

480 x 12.50 = $6000

HELPP PLZZZ I NEED TO FIND WHAT GOES IN THE QUESTION MARK
(10x^2+10x^3-9x^4)-(4x^3+?-8x^2)=-19x^4+6x^3+18x^2

Answers

?=10x^4 hope this helps

Laura wants to cover a box with fabric:
- the box is in the shape of a rectangle prism.
- it measures 15 in. Long , 11 in wide , 24 in tall.

Answers

Answer:

1,578

Step-by-step explanation:

I took the test

which number is composite 5,11,9,2

Answers

The number 11 is combosit

Answer:

11

Step-by-step explanation:

trust

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