14=7(2x-4)
I have to solve this equation using two different methods and I don’t know how

Answers

Answer 1

Answer:

14=7(2x-4)

0r, 14/7 = 2x-4

or, 2= 2x-4

0r,2x= 6

or x=3

14=7(2x-4)

14=14x -28

14x=42

x=42/14=3

Answer 2

Method 1

Divide both sides by 7 first to get

14 = 7(2x-4)

14/7 = 7(2x-4)/7

2 = 2x-4

Then add 4 to both sides

2+4 = 2x-4+4

6 = 2x

2x = 6

Finally, divide both sides by 2

2x/2 = 6/2

x = 3

which is the final answer

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

Method 2

Distribute the 7 through to each term in the parenthesis

14 = 7(2x-4)

14 = 7*2x + 7*(-4)

14 = 14x - 28

Then we follow similar steps as done earlier. Add 28 to both sides

14+28 = 14x-28+28

42 = 14x

14x = 42

Then divide both sides by 14 to fully isolate x

14x/14 = 42/14

x = 3

Either way we get the same result. As to which method you pick (if you could only choose one), its up to you based on whichever you find easier.

The basic idea with either method is that we follow PEMDAS in reverse to undo everything happening to x. This way we fully isolate it.

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

Checking the answer:

Plug x = 3 into the original equation. Simplify to get

14 = 7(2x-4)

14 = 7(2*3-4)

14 = 7(6-4)

14 = 7*2

14 = 14

This confirms the answer. As you can see, if we know the value of x, we use PEMDAS to simplify both sides. But if we don't know x, and want to find it, then we follow PEMDAS in reverse.


Related Questions

what is each side of the square?

Answers

Answer:

S = 14.14

Step-by-step explanation:

The area of a square is S*S or S^2.

So, if we know that the area of the square patio is 200, we can say that

S^2 = 200.

S = sqrt(200)

S = 14.14 ft.

Yes what she said period

Use the ALEKS calculator to find 48% of 70. Do not round your answer.

Answers

Answer:

its 28

Step-by-step explanation:

hope this helps also u have to divide 70 divided by 48% in order to get 28

M(x)=x^2-3x
N(x)=x-5

MN(-1)= ?

A.18
B.-20
C.-22
D. -24

Answers

Answer:

d. -24

Step-by-step explanation:

M(-1)=(-1)^2-3(-1)

M(-1)=1+3

M(-1)=4

N(-1)=-1-5

N(-1)=-6

MN(-1)=(4)(-6)

MN(-1)=-24

Enter the decimal 1.18 as an improper fraction in simplest form.

Answers

Answer:

59/50

Step-by-step explanation:

118/100 divided by 2/2

=59/50

Cesar has read 89 pages of a book for his
English class. If the book has 257 pages and
he can read 21 pages per hour, how many
hours will it take Cesar to finish the book?
a. 168
b. 8
C. 12
d. 5

Answers

Answer:

X=8

Step-by-step explanation:

First subtract the read pages with the unread pages which is 168.

Then let 21 pages = to one hour then 168pages(the remaining pages) = x then cross multiply and divide then your answer will be 8

Checar would take 8 hours to finish his book

F(x)=-5x+8

What value of x would make f(x)=23?


Need Answers ASAP

Answers

Answer:

-3

Step-by-step explanation:

23=-5x+8

23-8=-5x

15=-5x

x=-3

Answer:

x=-3

Step-by-step explanation:

23=-5x+8

-8 -8

15=-5x

______

-5 -5

-3=x

1. Ilove ordering cookies from Tiff's Treats (not
sponsored, although I wouldn't object!). If Tiff's
Treats charges a delivery fee of $1 and costs $8.50
per half-dozen, which equation relates my cost, c,
and the number of half-dozens, h, I ordered?
a) C = 9.500h
b) C = 8.50h + 1
c) c = h + 8.50
d) h = 9.50c
e) None of these

Answers

c = cost

h = # of half-dozens ordered

c = $8.50h + $1  is the correct answer.


Which expression represents the perimeter of the rectangle above?
6x + 3
10x + 6
8x2 + 6x
12x + 6

Answers

Answer:

12x+6

Step-by-step explanation:

(4x+3)+(4x+3)+(2x)+(2x)

4+4+2+2=12, 3+3=6

12x+6

Use estimation to determine the product of 15.4 and 5.7

Answers

Answer:

about 90

Step-by-step explanation:

15.4 rounds down to 15

5.7 rounds up to 6

15 × 6 = 90

During the summer, the height of the water in the pool decreased by 5 inches each week due to evaporation. What is the change in the height of the water over an 8 week period?

Answers

Answer:

40 inches

Step-by-step explanation:

We know that the height of water in a pool decreased 5 inches per week.

This means that we can form the equation [tex]y=-5x[/tex], since the amount of water remaining is proportionate to the amount of weeks that have passed.

We know [tex]x=8[/tex], since we need to find the change for 8 weeks.

[tex]y = -5\cdot 8[/tex]

[tex]-5 \cdot 8 = -40[/tex]

[tex]y=-40[/tex]

The change will be the absolute value of -40, which just makes it positive, so 40.

Hope this helped!

Answer:

40 inches evaporated

Step-by-step explanation:

5 in / week

Multiply 5 in by 8 wks

= 40 inches of water evaporated over 8 wks

Solve.
2(7y - 5) = 4

Answers

Answer:

y=1

Step-by-step explanation

So basically 2 *7y is 14y and 2*5 equals 10

bring the 10 to the 4 and you have 14y=14

y=1

14y-10=4
+10 +10
14y= 14
Y=1

(-4.5)to the power of 0

Answers

Answer:

-1

Step-by-step explanation:

The answer would be -1. Anything to the power of 0 will be 1. In this case because 4.5 is negative I’ll be -1.

4x+12y+4z=-16 12x-12y+8z=8 4x+12y-4z=0 ​

Answers

I try my best I will be adding other people to help you

Given f(x) = 2x + 1, find the range value if the domain value is 1.75.

Answers

Given:

The function is

[tex]f(x)=2x+1[/tex]

To find:

The range value if the domain value is 1.75.

Solution:

Domain is the set of input values and range is the set of output values.

Here, range value if the domain value is 1.75. It means the value of function f(x) at x=1.75.

Substitute x=1.75 in the given function.

[tex]f(1.75)=2(1.75)+1[/tex]

[tex]f(1.75)=3.5+1[/tex]

[tex]f(1.75)=4.5[/tex]

Therefore, the required range value is 4.5.

19. The midpoint of JK is M(0, 1). One endpoint is /(-6, 3). Find the coordinates of
endpoint K. (Section 1.3)

Answers

Answer:

(6,-1)

Step-by-step explanation:

let coordinates of K be (x,y) then

[tex]0=\frac{-6+x}{2}\\or~-6+x=0\\x=6\\1=\frac{3+y}{2}\\y+3=2\\y=2-3=-1\\so ~K~is ~(6,-1)[/tex]

The coordinates of endpoint K will be (6,-1).

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

Given that the midpoint of JK is M(0, 1). One endpoint is (-6, 3). The other end will be calculated as below:-

0 = ( -6 + x ) / 2

-6 + x = 0

x = 6

The value of the y coordinate will be calculated as below:-

y = 2 - 3 = -1

Therefore, the coordinates of endpoint K will be (6,-1).

To know more about midpoint follow

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Shellys old living room had a length that was twice its width. When she moved, her new living room was 2 feet longer and 4 feet wider that her old one. If w represents the width of her old living room write the expression used to represent the difference in the area of her old living room and her new living room.

Answers

Answer:

10w+6 is the difference between the two areas

Step-by-step explanation:

for the old room:

l=2w

wich mean

 Area_old=l*w=2w*w=2w²

for the new room:

L=l+2 since l=2w => L=2w+2

W=w+4

so

Area_new=L*W=(w+4)*(2w+2)= 2w² +10w+6

the difference is :

Area_new - Area_old= 10w+6

Translate each question.
Four times the difference of a number and 7 is 32

Answers

“Four times the difference of a number and 7 is 32”
Translation-
4(x-7)=32

[ 28 - (16 + 3) ] ÷ 3

Answers

Answer:

3

Step-by-step explanation:

By order of PEMDAS, perform math within parentheses first.

[tex](28 - 19) \div 3[/tex]

Continue with PEMDAS

[tex](9) \div 3[/tex]

Now, simply divide

[tex]9 \div 3 = 3[/tex]

It’s 3 for that question, here’s the picture

5+5=
9+3=
20+15=
25+38=

Answers

I think it’s
=10
=12
=35
=63
5+5=10

9+3=12

20+15=35

25+38=63

WILL GIVE BRAINLIST TO FIRST ANSWERER!!!!
Write the equation of each line in slope-intercept form ​

Answers

Answer:

y=-2/3 x +2

y=-x+2

Step-by-step explanation:

slope intercept form : y=mx+b

first find the slope :

two points from the graph : (0,2) (3,0)

y=b=2 when x=0 y = the constant b

m=(y2-y1)/(x2-x1)

m=0-2/3-0

m=-2/3

y=-2/3 x +2

question 26: two points from graph: (0,2),(1,1)

b=2 ( when x=0, y=b=2)

m=1-2/1-0

m=-1

y= - x+2

A rectangle is 28 centimeters long and 9 centimeters wide.
What is the perimeter of this rectangle?
37 cm
0 56 cm
O 65 cm
O 74 cm
N

Answers

Answer:

74

Step-by-step explanation:

2(28x9)

74 is the perimeter

3^-4=????? HURRRRYYYYYYYYYYYYYYYYY

Answers

Answer:

Here’s the answer :)

Step-by-step explanation:

Answer:

[tex] {81}^{ - 1} \: or \: \frac{1}{81} [/tex]

Step-by-step explanation:

[tex] {3}^{ - 4} [/tex]

Apply rule :

[tex] {a}^{ - 1} = \frac{1}{ {a}^{1} } [/tex]

[tex] \frac{1}{ {3}^{4} } = \frac{1}{81} \: or \: {81}^{ - 1} [/tex]

Max has 40 fruits consisting of Apples, Mangos, and Peaches. Max has 5 more Apples than Mangos. He also
has four times as many Apples as Peaches. How many Apples does Max have?

Answers

Answer:7.5 apples

Step-by-step explanation:

Let the number of mangoes be represented by m

Max has 5 more Apples than Mangos.

Therefore apples = m + 5

Max has four times as many Apples as Peaches. Therefore, peaches = 4(m+5) = 4m + 20

Mangoes = m

Apples = m+5

Peaches = 4m+20

Mangoes + Apples + Peaches = 40

m + m+5 + 4m+ 20 = 40

6m+25 = 40

6m = 40 - 25

6m = 15

m = 15/6

m = 2.5

Apples = m+5 = 2.5 + 5 = 7.5

Max has 7.5 apples

simplify 12-15÷3-3 pwease

Answers

Answer: -6

Step-by-step explanation: mark me as brainliest if i helped

The value of the expression is 4.

We have,

Expression:

12 - 15 ÷ 3 - 3

Now,

Apply PEMDAS.

Divide 15 by 3.

12 - 15/3 - 3

[ 3 x 5 = 15]

So,

12 - 5 - 3

12 - (5 + 3)

12 - 8

4

Thus,

The value of the expression is 4.

Learn more about expressions here:

https://brainly.com/question/3118662

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What is the measure of angle A?

Answers

Answer:

A = 29

Step-by-step explanation:

a triangle is equal to 180 so the bottom triangle you add 34 + 26 = 60 --> 180-60 = 120  ---> the triangle on top is 120 + 31 = 151 -----> 180-151 = 29

Find the difference quotient and simplify the answer. g(x) = 3x - 1 ​

Answers

Answer:

Consider the difference quotient formula.

f(x+h)−f(x) / h

Find the components of the definition.

g(x+h)=3h+3x−1

g(x)=3x−1

Plug in the components.

g(x+h)−gx / h = 3h+3x−1−(3x−1) / h

Simplify = 3

please answer this I really need it!

Answers

Answer: 4/49 m^2

Step-by-step explanation:

Multiply

2/7 x 2/7 = 4/49

Answer: 4/49 m^2

Step-by-step explanation:

Area of a square = side X side

Side is 2/7

So, Area = (2/7)*(2/7) = 4/49 m^2

TWO QUESTIONS !! GEOMETRY

Answers

question 3 the answer is y= x+1 and the answer to question 4 is -2/5

Answer:

1) y= 1x +1

2) -2/5

Step-by-step explanation:

5 + 1/ 4 + 2 = slope of 1

y-5 = 1(x-4) solve for y

y = 1x + 1

Which graph shows a polynomial function of an odd degree?

Answers

Answer:

THE ANSWER IS C ON EDGE.

Step-by-step explanation:

If both sides of the graph are pointing in the same way, THE FUNCTION HAS AN EVEN DEGREE.

The degree of a polynomial is the highest power of the polynomial.

Graph 3 has an odd degree.

From the attachments, we have the following highlights

The first graph crosses the x-axis, 4 timesThe second graph crosses the x-axis, 6 timesThe third graph cross the x-axis, 3 timesThe fourth graph cross the x-axis, 2 times

The above highlights mean that:

Graphs 1, 2 and 4 have even degrees, because they have an even number of  x-interceptsGraphs 3 have an odd degree, because it has an odd number of  x-intercepts

Hence, graph 3 has an odd degree.

Read more about degrees of polynomials at:

https://brainly.com/question/2284746

Can someone please help? This is due today, and I have NO CLUE

Answers

Step-by-step explanation:

Multiplication......

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