1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pogonyaev
3 years ago
6

Aljabra.

e="x \div 12 - 3x - 1 \div 8 = 1" alt="x \div 12 - 3x - 1 \div 8 = 1" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
laila [671]3 years ago
3 0

Answer: -27/70

Step-by-step explanation:

x ÷ 12 − 3x − 1 ÷ 8 = 1

Simplify x ÷ 12 − 3x − 1 ÷ 8.

  Rewrite the division as a fraction.

        x /12 − 3x − 1 ÷ 8 = 1

   Rewrite the division as a fraction.

        x/12− 3x − 1/8 = 1

  To write −3x as a fraction with a common denominator, multiply by  12/ 12

        x/12− 3x ⋅ 12/12 − 1/8 = 1

  Simplify terms.

   Combine −3x and  12/12

        x /12−3x ⋅ 12/12 − 1/8  = 1  

  Combine the numerators over the common denominator.

        (x − 3x ⋅ 12/12) − (1/8)  = 1

  Simplify the numerator.

        (x ⋅ −35/12) -(1/1) =  1

  Move −35 to the left of x.

        −(35 ⋅ x/12) -(1 /8) = 1

   Move the negative in front of the fraction.

        -(35x/12) −(1/8) = 1

Move all terms not containing x to the right side of the equation.

  Add 1/8 to both sides of the equation.

        -(35x/12) = 1 + (1/8)

  Write 1 as a fraction with a common denominator.

        -( 35x /12) =  8/8 + 1 /8

    Combine the numerators over the common denominator.

        -( 35x /12) =  8+1/8

  Add 8 and 1.

        -( 35x /12) =  9/8

Multiply both sides of the equation by − 12/35

        -( 12 /35) ⋅ (− 35x /12 ) = − 12/35 ⋅ 9/8

Simplify both sides of the equation.

   Simplify -( 12 /35) ⋅ (− 35x /12 )

   Cancel the common factor of 12.

              −1/35⋅ (−35x) = − 12/35 ⋅ 9/8

    Cancel the common factor of 35.

               −1 ⋅ (−x) = − 12/35 ⋅ 9/8

   Multiply −1 by −1.

                   1 ⋅ x = − 12/35 ⋅ 9/8

      Multiply x by 1.

                   x = − 12/35 ⋅ 9/8

   Simplify − 12 /35  ⋅ 9/8

   Cancel the common factor of 4.

                   x = −3/35 ⋅ 9 /2

   Multiply −3/35 and 9/2 .

                   x= (−3 ⋅ 9)/( 35 ⋅ 2 )

    Simplify the expression.

   Multiply −3 by 9.

                   x = -27/(35 ⋅ 2)

   Multiply 35 by 2.

                   x= -27/70

The result can be shown in multiple forms.

Exact Form:   x= -27/70

Decimal Form:  x  = −0.3857142...

You might be interested in
Share 4000 in a ratio 3:4:1​
muminat

Answer:

3/8 x 4000 = 1500

4/8 x 4000 = 2000

1/8 x 4000 =500

7 0
2 years ago
Read 2 more answers
How many times greater is the value of 4 in 547 than the value of the 4 and 84​
sesenic [268]

Answer:

10

Step-by-step explanation:

How many times greater is the value of 4 in 547 than the value of the 4 and 84​?

547: 500 + 40 + 7

5 is in the hundreds place

4 is in the tens place

7 is in the ones place

84: 80 + 4

8 is in the tens place

4 is in the ones place

The value of 4 in 547 is 10 times greater than the value of 4 in 84.

Since the 4 in 547 is in the tens place, while the 4 in 84 is in the ones place.

Also, 4 * 10 = 40

Hope this helps!

6 0
2 years ago
-9x-6y=15,9x-10y=145
vazorg [7]

-9x-6y=15

9x-10y=145

Find y first by eliminating the x.

Add the two equations together.

-9x+9x-6y+-10y=15+145

-6y+-10y=15+145

-6y-10y=160

-16y=160

divide both sides by -16 to get +y

-16y/-16=160/-16

y=-10

Use the substitution method to find x

-9x-6y=15

-9x-6(-10)=15

Do the bracket first

-9x+60=15

Move +60 to the other side. Sign changes from +60 to -60.

-9x+60-60=15-60

-9x=-45

Divide both sides by -9

-9x/-9=-45/-9

x=5

Answer:

( 5,-10)

3 0
3 years ago
PLEASE ANSWER THIS FAST Will the red square and the orange square always equal the blue square? What colored square is the hypot
Vikentia [17]

Step-by-step explanation:

  • The area of the blue square will always equal the sum of the area of the orange and red rectangles

The pythagorian theorem:

a²+b² = c²

now let a be the side of the red triangle and b the side of the orange one

so a² is the area of the red triangle and b² is the area of the orange one

Let c be the side of the blue rectangle

so c² is the area of it

then what we concluded is right

  • the hypotenuse is the blue side since it is the larger one
6 0
3 years ago
What is 4.3(v+2.5)=8.11+4v
True [87]

Answer:

-8.8

Step-by-step explanation:

We begin by simplifying the parenthesis through multiplication. Parenthesis is a structure which signals multiplication happening.

4.3(v+2.5)=8.11+4v\\4.3v+10.75=8.11+4v

We now begin combining like terms across the equal sign by performing the inverse or doing the opposite. Move first the 8.11 by subtracting it from both sides.

4.3v+10.75-8.11=8.11-8.11+4v\\4.3v+2.64=4v

Now, move 4.3v across by subtracting it from both sides.

4.3v-4.3v+2.64=4v-4.3v

2.64=-0.3v

Finally, we divide both sides by the coefficient of v.

\frac{2.64}{-0.3} =\frac{-0.3v}{-0.3} \\-8.8=v

6 0
3 years ago
Other questions:
  • Jack buys 4/3 pounds of plums.Martin buys 6/3 pounds of apples. who buys more fruit
    9·2 answers
  • Read this sentence:
    8·2 answers
  • 1. A coin had a value of $257.00 in 1995. Its value has been increasing at 9% per year
    5·1 answer
  • Solve each system by elimination<br> 9) 5x+y=9<br> 10x-7y=-18
    13·1 answer
  • What is the solution to the system of equations?
    8·1 answer
  • Formulate a system of equations to represent this situation, with f = the amount of money that Frank spent and r = the amount of
    10·1 answer
  • Edith rides in an Oober that charges a flat rate of $6.75 plus $3.20 per mile. If the ride share service charges $40.03 in total
    8·1 answer
  • HEY THERE! PLEASE ANSWER THE MATH QUESTION IN THE PHOTO! THE CORRECT ANSWER WILL BE MARKED AS BRAINLIEST ,GET POINTS AND I WILL
    5·1 answer
  • Help me please i need this answered fast
    5·2 answers
  • Find the sum..............
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!