(x-2)/(x+1)=1/2 . find x​

Answers

Answer 1

Answer:

x=5

Step-by-step explanation:

(x-2)/(x+1)=1/2, we use that a/b = c/d is the same as a*d = c*b

2*(x-2) = 1* (x+1), distribute multiplication over subtraction

2x -4 = x +1 , subtract x and add 4 to both sides

2x -x = 1 +4, combine like terms

x = 5

Answer 2

Answer: x = 5

Solve:

Given

(x - 2) / (x + 1) = 1/2

Cross multiply applied

1 (x + 1) = 2 (x - 2)

Expand parentheses and apply the distributive property

x + 1 = 2x - 4

Add 4 on both sides

x + 1 + 4 = 2x - 4 + 4

x + 5 = 2x

Subtract x on both sides

x + 5 - x = 2x - x

x = 5

Check:

Left-hand side = (x - 2) / (x + 1) = (5 - 2) / (5 + 1) = 3/6 = 1/2

Right-hand side = 1/2

1/2 = 1/2

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

evaluate the expression (-2) - ( -5)

Answers

Answer:

The answer is 3

Step-by-step explanation:

(-2)+5=3

solve this problem show work. -5/6 + 1/3​

Answers

1/3 is the same as 2/6, so we can rewrite this as:

-5/6 + 1/3 = -5/6 + 2/6

To add fractions, add the numerators:

-5 + 2 = -3

So, -5/6 + 2/6 = -3/6

This can reduce, since 3 and 6 are divisible by 3.

-3/6 = -1/2

John is printing advertisement flyers for his business on colored sheets of paper. There
are 500 sheets of paper in one ream and a toner cartridge will print 2,000 sheets. John
has 3 toner cartridges and 15 reams of paper. Which will he run out of first?

Answers

Answer:

John will run out of toner cartridges first

Step-by-step explanation:

First, find how many sheets he can print with the 3 toner cartridges:

3(2000)

= 6000 sheets of paper

Find how many sheets of paper he has:

15(500)

= 7500 sheets of paper

Since 6000 is less than 7500, John will run out of toner cartridges first.

Like what is this and how do you do it please explain clearly and understandable

Answers

Answer:

1/4

Step-by-step explanation:

HT represent the probability of tossing a head then Tail.

There is 4 possible results and only 1 give us HT.

We call this theoretical probability. which is

[tex] \frac{x}{y} [/tex]

where x is favorable outcomes and y is total number of outcomes.

So there is a 1/4 probability of getting a head followed by a tail.

Explanation: When you toss two coins, the possible outcomes can be:

1) A head followed by a head.
2) A head followed by a tail.
3) A tail followed by a head.
4) A tail followed by a tail.

Therefore,
Total possible outcomes = 4

Now, the given condition is a head followed by a tail. In the possible outcomes there is only one (i.e; 2) that satisfies this condition.

Therefore, outcome of getting head followed by tail = 1

Finally,
P(getting head followed by tail) = outcome of getting head followed by tail / Total possible outcome.

Which is 1/4.

Hope this helps.

Verify the following (-23) { ( -5) + (19) } = ( -23) x -5 + (-23) x (19)

explanation needed fast pls

Answers

-23 x (14) = -23 x -5 + (-23) x (19). -322 = 115 + (-437). -322 = -322

someone help please :)

Answers

Answer:

its basically a Cross

the point they cross is p

and the 2 lines are AB and RS

I hope I'm correct.And yea

.hope it helps

Can somebody please help? I been struggling to answer this!

Answers

Answer:

the first option is the answer. I am sure of this

Answer:

the first option is the answer

help asap show work and no links pls

Answers

Answer:

f(1) = 2 f(3) = 8 f(t) = 2^t

Step-by-step explanation:

you just plug in the number in the parenthesis next to f to x in the equation 2^x

20x2 y(x2 - y2) and 35xy?(x - y)
lcm

Answers

Answer:

Correct option is

HCF of 20 and 35 = 5

HCF of x2yandxy2=xy

HCF of (x2−y2),i.e.,(x−y)(x+y)

and (x−y)=(x−y)

∴ReqdH.C.F=5xy(x−y)

Step-by-step explanation:

hiiii ur so cute

How can 863.141 be written in expanded form?

Answers

Answer:

800 + 60 + 3 + 0.1 + 0.04 + 0.001

if hj=7x-27 find the value of x

Answers

Answer:

x=7

Step-by-step explanation:

HI + IJ = HJ

3x-5 + x-1 = 7x-27

Combine like terms

4x-6 = 7x-27

Subtract 4x from each side

4x-6 -4x= 7x-27-4x

-6 = 3x-27

Add 27 to each side

-6+27 = 3x-27+27

21 = 3x

Divide by 3

21/3 = 3x/3

7 =x

Answer:

x=7

Step-by-step explanation:

what is 200 rounded to the nearest ten

Answers

Answer:

200.

Step-by-step explanation:

-------- 200 -------

Hope that helps.

f(x)=-x^2-10x

Find f(-5)

Answers

Answer:

25

Step-by-step explanation:

f(x)=-x^2-10x

Let x = -5

f(-5)=-(-5)^2-10(-5)

     = -25+50

      =25

nilai x yang memenuhi |3x + 7| > 2 adalah....​

Answers

Answer:

|3x+7|>2 =5/3 x yang memenuhi

3/4x + 4/7y = 5/4x -1...solve for y​

Answers

Answer:

[tex] \frac{3}{4} x + \frac{4}{7} y = \frac{5}{4} x - 1 \\ \frac{4}{7} y = \frac{5}{4} x - 1 - \frac{3}{4} x \\ \\ \frac{4}{7} y = \frac{5x - 4 - 3x}{4} \\ \frac{4}{7} y = \frac{2x - 4}{4} \\ \\ y = \frac{2x - 4}{4} \div \frac{4}{7} \\ y = \frac{2x - 4}{4} \times \frac{7}{4} \\ \\ y = \frac{14x - 28}{16} \\ \\ y = \frac{14x}{16} - \frac{28}{16} [/tex]

I hope I helped you^_^

A car accelerates from stationary state to X kmj-1 in 10 minutes. If the acceleration of the car is 300 km h-2, find the value of X.​

Answers

Step-by-step explanation:

X = Acceleration × time

=300× (10/60)

=50km/h

The zebras have been spotted in a
rectangular area of the Savannas that
is 1.4 kilometers by 2.4 kilometers. What
is the area of the rectangle?

Answers

Area of rectangle where Zebra spotted is 3.36 kilometer²

Step-by-step explanation:

Given that;

Zebras spotted in a  rectangular area

Dimensions of area is 1.4 kilometers by 2.4 kilometers

Find:

Area of rectangle

Computation:

[tex]Area\ of\ rectangle = length \times width\\[/tex]

Area of rectangle = 1.4 x 2.4

Area of rectangle = 3.36 kilometer²

Learn more:

https://brainly.com/question/22998786?referrer=searchResults

I SPENT 40 POINTS ON THIS QUESTION. PLEASE ANSWER!!!!!​

Answers

Answer:

Here is your answer . hope it helps.

4. Determine both the HCF and LCM of 25 and 200​

Answers

Answer:

The LCM of 25 and 200 is 200.

Explanation:

Find the prime factorisation of 25

25 = 5 × 5

Find the prime factorisation of 200

200 = 2 × 2 × 2 × 5 × 5

Multiply each factor the greater number of times it occurs in steps 1 or 2 above to find the LCM:

LCM = 2 × 2 × 2 × 5 × 5

LCM = 200

Answer:

the HCF of 25 and 200 is 25 because it divides both of them and is maximum factor of them.

LCM of 25 and 200 is 200 because it can be divided by both 200 and 25

What is 30-[9+4(8-5)]

Answers

Answer:

9

Step-by-step explanation:

30 - (9+4 x 3)

30 - (9 + 12)

30 - 21

= 9

Aimee deposited $250 into a savings account with the simple interest of 6% per year.

After 4 years, how much money, in total, will she have in her account?

Answers

Answer:

Step-by-step explanation:

Interest=principal*rate*time/100

Interest=240$

Amount= principal + interest

Amount=$490

SOMEONE HELP ME PLEASE

Answers

Answer:

25.7

Step-by-step explanation:

PQ=PR-QR

PQ=38.3-12.6

PQ=25.7 cm

Answer: PQ = 25.7 cm

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

PR = 38.3 cm

QR = 12.6 cm

Given expression deducted from the segment addition postulate

PQ = PR - QR

Substitute values into the expression

PQ = (38.3) - (12.6)

Simplify by subtraction

PQ = [tex]\boxed{25.7cm}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

what is -2 1/3 - (-5)=

Answers

Answer:

[tex] \frac{8}{3} [/tex]

Step-by-step explanation:

[tex] - 2 \frac{1}{3} - ( - 5)[/tex]

convert mixed fraction into improper fraction.

[tex] - \frac{7}{3} + ( - 5)[/tex]

calculate the sum of the fraction:

[tex] \frac{8}{3} [/tex]

Tìm tập giá trị y = x² - căn 4 - x²

Answers

Answer:

0 and 2 s the answer

Identify the number as rational or irrational.

Answers

Identify which number??

Find the least common multiple of 3 and 8

Answers

I believe the answer is 24

Answer:

the right answer is 24

hope it help

PLS HELP!!!! I solved these but i dont know how to show my work...

Answers

use Microsoft math and take a picture of each problem and it shows the work u will thank me later :)

1.
Graph the data in the table. Which kind of function best models the data? Write an equation to model the data.

A. quadratic; y = –2.5x2

B. linear; y = 2.5x

C. exponential; y = 2.5x

D. quadratic; y = 2.5x2

Answers

Answer:

D. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

A. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

   = -2.5

   

  = 2.5

   

  = 7.5

2nd difference,

   = 5

   

  = 5

   

  = 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

The first term of an A.P. is unity and the common difference is 4, which of the following will be a term of this A.P. (a ) 4551 (b ) 10091 ( c ) 7881 ( d ) 13531​

Answers

Answer:

c

Step-by-step explanation:

first term=1

common d=4

nth term=a+(n-1)d

7881=1+(n-1)4

7881=1+4n-4

7884=4n

n=1971

Starting with n = 0, the n-th term in the sequence is

4n + 1

so any number in the sequence must have a remainder of 1 when divided by 4.

We have

4551 = 1137×4 + 3

10091 = 2522×4 + 3

7881 = 1970×4 + 1

13351 = 3382×4 + 3

Find the value of y and RT if S is between RT. RT = 7y + 7, RS = 11, and ST = 5y + 6.​

Answers

Answer:

78  

Step-by-step explanation:

show your work

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