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
Mrac [35]
3 years ago
14

-8(8 - x) = 4/5(x + 10)

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0

Answer:

x = 10

Step-by-step explanation:

Solve for x:

-8 (8 - x) = (4 (x + 10))/5

Multiply both sides by 5:

-8×5 (8 - x) = (5×4 (x + 10))/5

(5×4 (x + 10))/5 = 5/5×4 (x + 10) = 4 (x + 10):

-8×5 (8 - x) = 4 (x + 10)

5 (-8) = -40:

-40 (8 - x) = 4 (x + 10)

Expand out terms of the left hand side:

40 x - 320 = 4 (x + 10)

Expand out terms of the right hand side:

40 x - 320 = 4 x + 40

Subtract 4 x from both sides:

(40 x - 4 x) - 320 = (4 x - 4 x) + 40

40 x - 4 x = 36 x:

36 x - 320 = (4 x - 4 x) + 40

4 x - 4 x = 0:

36 x - 320 = 40

Add 320 to both sides:

36 x + (320 - 320) = 320 + 40

320 - 320 = 0:

36 x = 40 + 320

40 + 320 = 360:

36 x = 360

Divide both sides of 36 x = 360 by 36:

(36 x)/36 = 360/36

36/36 = 1:

x = 360/36

The gcd of 360 and 36 is 36, so 360/36 = (36×10)/(36×1) = 36/36×10 = 10:

Answer:  x = 10

You might be interested in
Please helpppppppppppppppppppppp
DedPeter [7]

Answer:

1/8 Hour(s) longer

Step-by-step explanation:

5/8-1/2= 1/8

8 0
2 years ago
Suppose that the local sales tax rate is 6% and you purchase a computer for $1260.
Troyanec [42]

Answer:

a.  $75.60

b.  $1335.60

Step-by-step explanation:

A.  First convert the percentage to a decimal.

6% = 0.06

Multiply the cost of the computer by the decimal to find the tax paid.

$1260 × 0.06 = $75.60

B.  To find the total cost, add the cost of the computer with the tax.

$1260 + $75.60 = $1335.60

8 0
3 years ago
Read 2 more answers
Write the following set using roster notation. Do not include repeats.
Annette [7]

Answer:

Step-by-step explanation:C

4 0
3 years ago
What is the solution to the system of equations below?
notka56 [123]

Answer:

where are the equations


Step-by-step explanation:


4 0
3 years ago
Solve y=4x-1; y=3x+6 by substitution brainly
Deffense [45]
  • Solve equation for the variable  y  

   [2]    y = 3x + 6


  •  Plug this in for variable  y  in equation

   [1]    (3x+6) - 4x = -1


  [1]     - x = -7


  • Solve equation for the variable  x  

    [1]    x = 7  

  • By now we know this much :

     y = 3x+6


    x= 7

  • Use the  x  value to solve for  y  

    y = 3(7)+6 = 27  

  • Solution :

  {y,x} = {27,7}  


Hope this helps!

Have an amazing day :)

7 0
3 years ago
Other questions:
  • Larry used a pattern of colors to make a cube train. He used a red cube, a blue cube, a red cube, and another red cube before he
    10·1 answer
  • Please help me 10 points will mark brainliest
    15·1 answer
  • Is 3 9 rational or irrational
    5·1 answer
  • What is the diffrence between 4x (4 to the power of x) and x4 (x to the power of 4)? evalutate both of these expressions when x=
    9·1 answer
  • PLEASE HELP WILL mark brainly!!
    15·2 answers
  • WILL MARK THE CORRECT ANSWER BRAINLIEST!<br><br> Select all the correct answers:
    14·1 answer
  • The slope, m, of a linear equation can be found using the formula <img src="https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%
    5·1 answer
  • Please help, will be greatful and give brainliest!
    12·1 answer
  • Warm-Up
    6·1 answer
  • A ride-sharing company charges a pick-up fee of $3.50 plus a charge of $4.00 per mile. Write an equation that represents the sit
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!