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
Stels [109]
2 years ago
12

An equation is shown below: 6(2x - 11) 15 = 21 Write the steps you will use to solve the equation and explain each step.

Mathematics
1 answer:
kolbaska11 [484]2 years ago
3 0

Answer:

x=6

Step-by-step explanation:

6(2x -11) 15 =21

6 × 2x = 12x

6 × -11 = -66

12x -66 + 15 = 21

-66 + 15 = -51

12x -51 = 21

-51 + 51 = 0

21 + 51 = 72

12x = 72

12x ÷ 2 = 0

72 ÷ 12 = 6

x = 6

You might be interested in
What is a y intercept
Tresset [83]

Answer:

Step-by-step explanation:

the y intercept is the y value of ur points when ur  line crosses the y axis. It is the initial value and is the output value when the input of a linear function is 0.

5 0
3 years ago
Read 2 more answers
The sum of two and three times the difference of a number and five is equal to four times the difference a number and one.
Andru [333]

Answer:

x=-9

Step-by-step explanation:

We translate the phrase into an equation:

2+3(x-5)=4(x-1)\\

Then we simplify:

2+3(x-5)=4(x-1)\\2+3x-15=4x-4\\-13+3x=4x-4\\-9=x

4 0
2 years ago
Factorise this : 2p²-p-10
gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

p(2p-1)-10

8 0
3 years ago
Just number 9 would be fine please but also if you could number 10 would help​
topjm [15]

Answer:

9. a = -7

10. x = 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

a + 6a - 14 = 3a + 6a

<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Combine like terms:                    7a - 14 = 9a
  2. Subtract 7a on both sides:          -14 = 2a
  3. Divide 2 on both sides:               -7 = a
  4. Rewrite:                                         a = -7

<u>Step 3: Check</u>

<em>Plug in a into the original equation to verify it's a solution.</em>

  1. Substitute in <em>a</em>:                   -7 + 6(-7) - 14 = 3(-7) + 6(-7)
  2. Multiply:                              -7 - 42 - 14 = -21 - 42
  3. Subtract:                             -49 - 14 = -63
  4. Subtract:                             -63 = -63

Here we see that -63 is equal to -63.

∴ a = -7 is a solution of the equation.

<u>Step 4: Define equation</u>

-12 - 4x = 8x + 4(1 - 7x)

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Distribute 4:                              -12 - 4x = 8x + 4 - 28x
  2. Combine like terms:                 -12 - 4x = -20x + 4
  3. Add 20x on both sides:            -12 + 16x = 4
  4. Add 12 on both sides:               16x = 16
  5. Divide 16 on both sides:            x = 1

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    -12 - 4(1) = 8(1) + 4(1 - 7(1))
  2. Multiply:                               -12 - 4 = 8 + 4(1 - 7)
  3. Subtract:                              -16 = 8 + 4(-6)
  4. Multiply:                               -16 = 8 - 24
  5. Subtract:                              -16 = -16

Here we see that -16 does indeed equal -16.

∴ x = 1 is a solution of the equation.

7 0
3 years ago
Which is the graph of f(1) = (x - 1)(x + 4)?
Papessa [141]

Answer:

D

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • QUESTION 4 What is the area of the square in square meters and square centimeters? 64 m² and 640,000 cm² 64 m² and 6400 cm² 6400
    11·1 answer
  • Please help. 21 points
    15·1 answer
  • The table shows the heights that four people parachute from an airplane. What is the range of the heights? Write your answer as
    14·1 answer
  • What is the equation, in slope-intercept form, of the line that is perpendicular to the line
    9·1 answer
  • Find the missing length of the triangle.
    10·2 answers
  • Which system of equations can be used to find the roots of the equation 12 x cubed minus 5 x = 2 x squared + x + 6? StartLayout
    12·1 answer
  • The sum of three prime numbers is 22. What is the largest possible product of these numbers?
    12·2 answers
  • Priya bought x grams of flour. Clare bought 38 more than that. Select all equations that represent the relationship between the
    10·1 answer
  • Use a real number to represent the situation.<br> The temperature falls 14°F.
    9·1 answer
  • What is 25+25-100+25+25
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!