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
erma4kov [3.2K]
3 years ago
9

Ind the value of x which satisfies the equation 2x - (4 - x) = 5 - X​

Mathematics
2 answers:
mina [271]3 years ago
8 0

Answer:

2,25

Step-by-step explanation:

2x-4+x=5-x

2x+x+x=5+4

4x=9 |÷4

x=2,25

soldier1979 [14.2K]3 years ago
7 0

Answer:

x = 9/4 = 2.25

Step-by-step explanation:

First thing to do when solving this equation would be to expand the brackets.

Because the sign in front of the brackets it a negative/minus, it means that we have to reverse the signs of both numbers inside (i.e. positive numbers become negative and vice versa):

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

Next, we can move all the x-terms to one side and the constants to the other so we can solve for a numerical constant value of x.

To do this we will first combine like terms (x's and x's etc.), and then subtract or add that value from both sides. This allows us to move terms to the other side without changing the equation (both sides are still equal):

2x+x-4=5-x\\3x-4=5-x\\3x-4+4=5-x+4\\3x=5+4-x\\3x+x=9-x+x\\4x=9\\4x/4=9/4\\x=\frac{9}{4} =2.25

We can also test this answer by substituting it back into the original equation for 'x':

2(2.25)-(4-2.25)=5-2.25\\4.5-1.75=2.75\\2.75=2.75

In which case the equation checks out, meaning we got the correct answer.

Hope this helped!

You might be interested in
Find the first four terms of the recursive sequence defined by the following formula: an = an-1 4 where a4 = 2 1 4 , , , 2 1 4.
Elina [12.6K]

The first four-term of the sequence is found by the given equation a_{n-1} = 4a_n is given as 144, 36, 9, and 9/4.

<h3>What is a sequence?</h3>

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The given equation will be

\rm a_n = \dfrac{a_{n-1}}{4} \\\\a_{n-1} = 4a_n

And

a_4 = 2 \dfrac{1}{4} = \dfrac{9}{4}

For n = 4, we have

\rm a_{4-1} = 4a_4\\\\a_3 \ \ \  = 4*\dfrac{9}{4} \\\\ a_3 \ \ \ = 9

For n = 3, we have

\rm a_{3-1} = 4a_3\\\\a_2 \ \ \  = 4*9 \\\\ a_2 \ \ \ = 36

For n = 2, we have

\rm a_{2-1} = 4a_2\\\\a_1 \ \ \  = 4*36 \\\\ a_1 \ \ \ = 144

More about the sequence link is given below.

brainly.com/question/21961097

7 0
2 years ago
A painter starts with a blank 24-inch by 12-inch piece of rice paper. The painter wants to leave a uniform border x inches wide
ddd [48]

Answer:

a. A = x² - 36x + 288

b. If x = 2; A = 220 in²

Step-by-step explanation:

<h2>a.</h2>

In this scenario, 'x' represents the width of the border. A "uniform border" means that the border has the same width all around.

The area of the paper that can be painted does not include the border. Since the border is on the original rice paper (not added to it), you subtract 'x' from each side of the rice paper.

The area of a rectangle is A = lw (Area is length times width). <u>Each length and width is reduced by 'x'.</u>

If the original rice paper's area is: 24 X 12, then,

the Area that can be painted is:

A = (24 - x) (12 - x)

A polynomial in standard form means the most expanded version of an expression, ordering the terms (numbers) from greatest to least degree. (The degree of a term is the value of its exponent).

Expand the expression. Multiply the numbers from each bracket in the order FOIL (first, outside, inside last):

A = (24 - x) (12 - x)

= 288 - 24x - 12x + x²        Collect like terms (-24x - 12x = -36x)

= 288 - 36x + x²        Rearrange ordering greatest to least exponent value

= x² - 36x + 288        Standard form polynomial

<h2>b.</h2>

The width of the margin is the same thing as the width of the border. Since 'x' is the width of the border,

x = 2

Using either the expanded or factored equation for area of that can be painted, substitute 'x' for 2.

I will use the factored form.

A = (24 - x) (12 - x)        Substitute x for 2

= (24 - 2) (12 - 2)          Solve inside each bracket first by subtracting

= (22) (10)             Multiply

= 220                 Area that can be painted

Remember to include the units: 220 in²

Therefore if the margin is 2 inches wide, then the area that can be painted in 220 square inches.

5 0
3 years ago
What is the anwser for 7x−x
11Alexandr11 [23.1K]

Answer:

6x

Step-by-step explanation:

7x - x

6x

8 0
3 years ago
What is 1 whole and 1/4 + 3/4
k0ka [10]

Answer:

1 /4 plus 3/4 equals 1 one whole cuz the 1 plus 3 4 and the 4/4 thats one 1

Step-by-step explanation:

3 0
2 years ago
What is the area of this triangle plz help ASAP
Komok [63]

Answer:

18in^2

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Steve is analyzing two linear functions, f(x) and g(x). Will they intersect?
    11·1 answer
  • Simplify the expression square root 4/(3+I)-(2+3i)
    13·2 answers
  • 2 1/6*3 3/2/(-5 3/2)<br> Explain step by step please
    13·1 answer
  • Fine the measure of the angle formed by the radius and the side of a regular dodecagon.
    10·1 answer
  • Pls help w 13 I rlly need help rn
    6·1 answer
  • Given: log 5=a, log 3=b, log 2=c. Find: log30 8
    14·1 answer
  • What is the possibility of a two sided coin flipped and lands on tails?​
    14·2 answers
  • ...
    10·2 answers
  • We use the properties of equality to rewrite equations and solve equations for a variable. These properties allow us to maintain
    10·1 answer
  • The shortest warmer was blue. The two longest warmers were pink.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!