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
zimovet [89]
3 years ago
11

Expand and simplify 4(2x +7) – 3(x + 5)

Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

Answer:

4\left(2x+7\right)-3\left(x+5\right)=5x+13

Step-by-step explanation:

Given the expression

4\left(2x+7\right)-3\left(x+5\right)

<u>Expand and simplify the expression</u>

4\left(2x+7\right)-3\left(x+5\right)

Expand  4(2x + 7) = 8x + 28                  

4\left(2x+7\right)-3\left(x+5\right)=8x+28-3\left(x+5\right)

Expand  -3(x + 5) = -3x - 15

                                 =8x+28-3x-15

Group like terms

                                  =8x-3x+28-15

Add similar elements:  8x - 3x = 5x

                                   =5x+28-15

Simplify

                                    =5x+13

Therefore, we conclude that:

4\left(2x+7\right)-3\left(x+5\right)=5x+13

You might be interested in
The variable z is directly proportional to x. When x is 11, z has the value 44. What is the value of z when x = 21?
dimulka [17.4K]

Directly proportional, both increase/decrease, Multiple k(constant you needed to solve for)..

Inversely --one increases as the other decreases, increase the denominator & fraction gets smaller.... So

Problem:

Dirextly to X (× by X)

Inversely to Y, (÷ by Y)

Z= k X/Y

Solve, working backwards: Z =5 becomes

5 = k (X) ÷ (Y). And

X=15 and Y =9 becomes

5= k(15)/(9). Undo ÷9, ×9 both sides

45= k(15). Now undo ×15 by ÷15 both sides

45/15 = 3. So k=3, (also called your constant of variation)....and your Equation/Proportion becomes...

Z = 3X/Y

Use the new #s.... X=23, Y=14

Z= 3×23÷14 = 69/14. If they want spirochete answer divide and round to corresponding # if decimals

4 0
3 years ago
Jade solved the following equation:
sergey [27]

step 1 has incorrect justification

4 0
3 years ago
The box plot below describes a data set. Which of the following has a value of 18?
Aloiza [94]
What box plot are you talking about
8 0
3 years ago
Read 2 more answers
Find the greatest commen factor of 96 and 48
kirza4 [7]
48 is the greatest common factor
4 0
3 years ago
Read 2 more answers
A rectangular garden is 6 feet long and 4 feet wide. A second rectangular garden has dimensions that are double the dimensions o
Talja [164]

Percent change is 100%

Step-by-step explanation:

  • Step 1: Find the perimeter of the first garden when length = 6 ft and width = 4 ft

Perimeter = 2 (length + width)

                = 2 (6 + 4) = 2 × 10 = 20 ft

  • Step 2: Find the perimeter of the second garden when length = 12 ft and width = 8 ft (∵ dimensions are doubled)

Perimeter = 2 (12 + 8) = 2 × 20 = 40 ft

  • Step 3: Find the percent change in perimeter

Percent Change = Final value - initial value/Initial Value × 100

                            = (40 - 20/20) × 100

                            = 1 × 100 = 100%

5 0
3 years ago
Other questions:
  • Find the mean of the data
    7·2 answers
  • What unit would you use to measure the weight of an apple
    8·1 answer
  • Your teacher is giving a test worth 100 points containing 40 questions. There are two point and four point questions on the tes.
    9·2 answers
  • Please help this one will give you extra points
    9·2 answers
  • The angles of o triangle are in<br>the ratio2: 3: 5<br> Find all the angle in grade<br>​
    6·1 answer
  • What are the dimensions of the new room, in inches, on the blueprint? What will the dimensions of the new room be, in feet, in t
    6·1 answer
  • 50 POINTS+BRAINLIEST!!!!
    12·2 answers
  • Easy way to do decimal multiplication.
    5·1 answer
  • Pls Help Me<br> Pls show your answer pls and thank you
    5·1 answer
  • The Colosseum in Rome, Italy, is about 1,950 years old. The Giza Pyramids in Cairo, Egypt, are about 2,550 years older. How old
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!