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Nostrana [21]
3 years ago
6

2x + 3 = 5 . Solve for x

Mathematics
2 answers:
Lady_Fox [76]3 years ago
7 0

Answer:

\boxed{ \boxed{\huge\bf \; x = 1}}

Step-by-step explanation:

\underline{\bf \: Given  \: equation:-}

2x + 3 = 5

\underline{ \bf \: To   \: Find :-}

\rm Value\:  of \: x

\underline{ \bf \: Solution  :-}

\bf : \sf  \longmapsto2x + 3 = 5

\underline{\rm Subtract  \: 3\: from\: both \; sides:}

\bf : \sf  \longmapsto2x + 3 - 3 = 5 - 3

\underline{\rm On  \: Simplification:}

\bf : \sf  \longmapsto2x + 0 = 2

\bf : \sf  \longmapsto2x = 0

\underline{ \rm \: Divide  \: both \:  sides \:  by \:  2 :}

\bf : \sf  \longmapsto \:  \cfrac{2x}{2}  =  \cfrac{2}{ 2}

\underline{\rm On  \: Simplification:}

\rm Cancel \: 2 \: and \: 2 \: of \: LHS \: and \: then \: Cancel \: 2 \: and \: 2 \: of \: RHS(Leave\: x \: of \: LHS)

:  \sf \longmapsto\cfrac{ \cancel2{x}}{\cancel2}  = \cfrac{ \cancel2{}}{\cancel2}

\underline{\rm \: On \:  Cancelling,}

:  \sf \longmapsto1x = 1

As \rm 1x = xso,

:  \sf \longmapsto \: x =\boxed{ 1}

________________________________

I hope this helps!

Please let me know if you have any questions.I am joyous to help!

:)

STALIN [3.7K]3 years ago
4 0

Answer:

x = 1

Step-by-step explanation:

2x + 3 = 5

=> 2x = 5 - 3

=> 2x = 2

=> x = 2/2

=> x = 1

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How many different digits are needed for the base 6 system?​
lorasvet [3.4K]

Answer:

0, 1, 2, 3, 4 and 5

Step-by-step explanation:

In a nutshell, base six  is a number system that employs the numbers 0 through 5 instead of 0 through 9 in each digit. As a result, a number that would be stated as 6 in base ten is written as 10. We count one, two, three, four, five, ten, eleven, twelve, thirteen, fourteen, fifteen, twenty, and so on.

6 0
3 years ago
In 1980, the median age of the U.S. population was 30.0; in 2000, the median age was 35.3.
miss Akunina [59]

Answer:

y = 0.265x - 494.7

Step-by-step explanation:

Let median age be represent by 'a' and time be represent by 't'

In 1980, median age is given 30

which means that

a₁ = 30

t₁ = 1980

In 2000, the median age is given 35.3

which means that.

a₂ = 35.3

t₂ = 2000

The slope 'm' of the linear equation can be found by:

m = (a₂ - a₁) /(t₂ - t₁)

m = (35.3 - 30)/(2000-1980)

m = 0.265

General form of linear equation is given by:

y = mx + c

y = 0.265x +c

Substitute point (1980,30) in the equation.

30 = 0.265(1980) + c

c = -494.7

Hence the the linear equation can be written as:

y = mx + c

y = 0.265x - 494.7

4 0
3 years ago
18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:
Ksenya-84 [330]

a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}

S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525

8 0
3 years ago
Nancy shot a 24 on 4 holes of golf. At this rate, what can she expect her score to be if she plays all 18 holes?
Elden [556K]

Answer:

  108

Step-by-step explanation:

"At this rate, ..." means we're to assume Nancy's score is proportional to the number of holes:

  score/18 = 24/4

Multiplying by 18, we get ...

  score = 18(24/4) = 18(6) = 108

Nancy can expect a score of 108 on 18 holes.

4 0
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The perimeter of a square is 28 feet. What is the area of the square?
kati45 [8]
You have to do 7 x 4 because a square has four sides
7 0
3 years ago
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