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
wel
3 years ago
12

3x+5(2+x)=4x-7 help me out here?

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
6 0

Answer:

x = -17/4

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

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

3x + 5(2 + x) = 4x - 7

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

  1. [Distributive Property] Distribute 5:                                                                 3x + 10 + 5x = 4x - 7
  2. [Addition] Combine like terms:                                                                        8x + 10 = 4x - 7
  3. [Subtraction Property of Equality] Subtract 4x on both sides:                      4x + 10 = -7
  4. [Subtraction Property of Equality] Subtract 10 on both sides:                       4x = -17
  5. [Division Property of Equality] Divide 4 on both sides:                                  x = -17/4
11111nata11111 [884]3 years ago
4 0

Answer:

x=\frac{-17}{4}

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+5(2+x)=4x−7

3x+(5)(2)+(5)(x)=4x+−7(Distribute)

3x+10+5x=4x+−7

(3x+5x)+(10)=4x−7(Combine Like Terms)

8x+10=4x−7

8x+10=4x−7

Step 2: Subtract 4x from both sides.

8x+10−4x=4x−7−4x

4x+10=−7

Step 3: Subtract 10 from both sides.

4x+10−10=−7−10

4x=−17

Step 4: Divide both sides by 4.

\frac{4x}{4}=\frac{-17}{4}

x=\frac{-17}{4}

You might be interested in
Complete the table of ordered pairs for the given linear equation
nika2105 [10]

Answer:

First blank= -1

Second blank= 14

Step-by-step explanation:

Plug in x to the equation. 1/7 x (-7)= -7/7=-1

2=1/7(x) to divide fractions you multiply by the reciprocal

2 x 7/1= 1/7× 7/1

14/1=14

4 0
3 years ago
For a given input value q, the function f outputs a value r to satisfy the following equation.
NISA [10]

Answer:

22

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The height of a sunflower plant varies directly with its age. Once it has sprouted from the ground, when a sunflower is 2 week o
KonstantinChe [14]

Answer:

66.5

Step-by-step explanation:

38/2 = 19

114/6 = 19

19 x 3.5 = 66.5

7 0
3 years ago
Read 2 more answers
You bike
Lyrx [107]
<h2>Answer:</h2>

<em>You will bike 30.2 miles in the seventh day according to the prediction.</em>

<h2>Explanation:</h2>

Here we have the following data, You bike

  • 5  miles the first day of your​ training,
  • 5.4 miles the second​ day,
  • 6.2 miles the third​ day, and
  • 7.8 miles the fourth day.

So we can know some facts:

  • From the first day to the second day the number of miles increases:

5.4-5=0.4mi

  • From the second day to the third day the number of miles increases:

6.2-5.4=0.8mi

  • From the third day to the fourth day the number of miles increases:

7.8-6.2=1.6mi

By taking a look at the pattern, we can see that each day you increases the number of miles by a factor of 2 compared to the previous day. So:

  • From the fourth day to the fifth day the number of miles increases:

x_{5}-7.8=3.2mi \\ \\ x_{5}=7.8+3.2=11mi, \ \text{Day 5}

  • From the fifth day to the sixth day the number of miles increases:

x_{6}-11=6.4mi \\ \\ x_{6}=6.4+11=17.4mi, \ \text{Day 6}

Finally:

  • From the sixth day to the seventh day the number of miles increases:

x_{7}-17.4=12.8mi \\ \\ x_{7}=12.8+17.4=30.2mi, \ \text{Day 7}

6 0
4 years ago
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 6 inches?
ikadub [295]
The height should be 8 because the area of a triangle is b*h/2 so 6*8= 48/2=24 so the height is 8.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Danae paints the front and back of a door
    5·1 answer
  • Quadrilateral ABCD has diagonals that are congruent and perpendicular to each other. What classification can be given to ABCD?
    13·2 answers
  • Dexter's dad runs a toy store. His current yearly sales report shows that he sold 4,694 toys in the last three months. If the st
    8·2 answers
  • Suppose A= {5,6,8,10,12} and B= {8,9,12,13,14} <br><br><br><br> What is AunionB?
    13·1 answer
  • The y values of the t-table for the function y=3
    13·1 answer
  • What is the quotient of −42 and −6?
    6·2 answers
  • What is a solution set for 3t-5&gt;7?
    14·1 answer
  • Given the points below, are the two lines parallel, perpendicular, or neither.
    8·2 answers
  • Write out the following decimal <br>300+.10+0.004​
    13·1 answer
  • Mario and Patience are making cookies. They are ready to drop balls of dough on baking sheets. They have baking sheets made of t
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!