The numerator of a fraction is 5 less than its denominator. If 1 is added to each its
value becomes 1/2. Find the original fraction.
Please solve it..​

Answers

Answer 1

Answer:  4/9

Step-by-step explanation:

Let x represent the denominator. Then the fraction is: (x - 5)/x

Add 1 to the numerator and denominator   →     (x - 5 + 1)/(x + 1) = 1/2

Cross Multiply:                   1(x + 1) = 2(x - 4)

Distribute:                             x + 1 = 2x - 8

Subtract x from both sides:       1 = x - 8

Add 9 to both sides:                  9 = x

Numerator:  x - 5    →     9 - 5 = 4

Denominator:  x     →     9

So the fraction is: 4/9


Related Questions

Mario needs 32.5 m of chain link fence to enclose his garden. The cost of the fence is $6.88 per meter.

What is Mario's total cost?


$22.35

$22.36

$223.50

$223.60

Answers

32.5 x $6.88 = $223.60 — The answer is D.

The volume of the rectangle prism shown below is 96 cubic feet. The dimensions of the prism’s base are 4 feet and 3 feet. What is the prism’s height in feet

Answers

Answer:

8feet

Step-by-step explanation:

Factor the expression completly over the complex numbers x^4+10x^2+25

Answers

Answer:

Rewrite it in the form {a}^{2}+2ab+{b}^{2}a

​2

​​ +2ab+b

​2

​​ , where a={x}^{2}a=x

​2

​​  and b=5b=5.

{({x}^{2})}^{2}+2({x}^{2})(5)+{5}^{2}(x

​2

​​ )

​2

​​ +2(x

​2

​​ )(5)+5

​2

​​

2 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)

​2

​​ =a

​2

​​ +2ab+b

​2

​​ .

{({x}^{2}+5)}^{2}(x

(x^2 + 5)^ 2

​​

Step-by-step explanation:

Divide $28 in the ratio 5:2:7.

Answers

Answer:

10:4:14

Step-by-step explanation:

5+2+7=14

28/14=2

2*5=10

2*2=4

2*7=14

10:4:14

ASAPPPP I NEED IT TODAYY

Answers

Answer:

41.25 ft for the area

Step-by-step explanation:

this is because when  1/4, 3/4, and 1/2 are added you get 1.5in =10.5 ft

and the other side with be 3.75in = 30.75 ft and added 10.5+30.75 =41.25

If x - 2 is a factor of x2 + 3x + k, what is the value of k?

Answers

Answer:

-10

Step-by-step explanation:

What is the sum?
23.85 + 7.42 + 16.15
Enter your answer in the box.
47.42

Answers

Answer:

47.42

Step-by-step explanation:

47.42 is ur answer

Just add them vertically and line up the decimal points.

23.85

  7.42

16 .15

---------

47. 42

8.5(4+3h)-h simplified

Answers

Answer:

24.5h + 34

Step-by-step explanation:

8.5(4 + 3h) - h

= 34 + 25.5h - h

= 24.5h + 34

I hope this helped!

The simplified form of 8.5(4+3h)-h is 24.5 + 34.

What is a numerical expression?

A numerical expression is in the form of variables and constants separated by the operation of addition and subtraction. We can also form numerical expressions from statements.

Given an expression in variable h which is 8.5(4+3h)-h.

First, we'll apply distributive law to get rid of the bracket and separate the different terms. There are two more laws they are associative law and commutative law.

Distributive law state that a(b+c) = ab + bc.

34 + 25.5h - h.

24.5h + 34.

Learn more about numerical expression here :

https://brainly.com/question/14642484

#SPJ2

1. Find the TRUE statement.
A. A graph will always eventually touch an asymptote.
B. If a graph has a vertical asymptote, it cannot have a horizontal asymptote.
C. If there is an asymptote at x = 0, then x can never equal 0.
D. A graph will get further and further from its asymptote.

Answers

Answer:

D

Step-by-step explanation:

They reason is because it makes sense. Do some more research and you will understand

DO_ 1/2 of X is. please help

Answers

Answer:

x = 2

Step-by-step explanation:

Is it -1/2 or just 1/2 I'll just answer both

x = 4

So -1/2 of x or -1/2 of 4 is -2

And 1/2 of 4 is 2.

So the answer is most likely 2

and is probably point z

4/(-1/2) = -2

4/(1/2) = 2

Simplify. (6+7i)(3−4i) Enter your answer, in standard form, in the box.

Answers

Answer: 46-3i

Step-by-step explanation: Use the FOIL method, (a+b)(c+d)=ac+ad+bc+bd. Collect like terms then simplify.

(6+7i)(3−4i)

18−24i+21i+28

(18+28)+(−24i+21i)

46-3i

- Hope this helps, have a blessed and wonderful day! :-)

In the standard form we can write (6 + 7i)(3 − 4i) as (- 3i + 46).

What are complex numbers?

A complex number is a number of the form a + bi, where [a] and [b] are real numbers and [i] is equal to [tex]\sqrt{-1}[/tex].

Given is the following complex expression -

(6+7i)(3−4i)

We have -

(6 + 7i)(3 − 4i)

On expanding, we get -

6(3 - 4i) + 7i(3 - 4i)

18 - 24i + 21i - 28i²

18 - 3i - 28i²

18 - 3i - 28 (-1)

18 - 3i + 28

46 - 3i

- 3i + 46

Therefore, in the standard form we can write (6 + 7i)(3 − 4i) as (- 3i + 46)

To solve more questions on complex numbers, visit the link below-

https://brainly.com/question/617146

#SPJ2

Which operation will "undo" subtraction?

a. multiplication
b. subtraction
c. addition
d. division

Answers

Answer:

Addition

Step-by-step explanation:

Because if you have -6, just add 6 and then it will get undone

Answer:

addition

Step-by-step explanation:

hope it helps

Help. I’m failing math and I need to finish 15 khans by tomorrow

Answers

Answer:

80

Step-by-step explanation:

A drama club made $3,200 from a school play. Seventy-five percent of that amount came from ticket sales. Identify the values of the variables in the model. Then use the model to find the amount of ticket sales.

a =
b =
The amount of ticket sales is $
.

Answers

Answer:

a= 25

b= 800

the sale amount =2,400

Answer:

a is 25 which thats half b 800 the total amount of tickets is 2,400

Step-by-step explanation:

Lorna has $60 and her sister has $120. Lorna
saves $7 per week, and her sister saves $5 per
week. Which equation and solution represent
the number of weeks, w, it will take for the girls
to have the same amount of money?

Answers

Step-by-step explanation:

whats theamountof money?

A bag contains 4 blue marbles, 9 green marbles, and 5 red marbles. One marble is drawn from the bag. What is the probability that the marble drawn is not blue?

Answers

Answer:

4blue marble+9 green marble+5 red marble=18marble totle

1 marble probility=1/17

each ticket costs $34 If the venue needs to sell 86 tickets to break even, then how much money have they invested
in the concert?

Answers

Answer:

2924

Step-by-step explanation:

36

x 86

‐--------------

2924

4. Jeff and his brother Joe are saving money
to buy a video game that costs $52. Jeff
earns $8 each week mowing lawns and
spends $2 of it. Joe earns $10 each week
and spends $3 of it. Which expression can
be used to find out how many weeks it will
take for them to save for the video game?
52-[(8 + 2) - (10 + 3)]
b. 52 [(8-2) - (0 - 3)]
52 +[(8-2) + (10 - 3)]
d. 52 + [(8 + 2) + (10 + 3)1
a.

Answers

Answer:

52/[(8 - 2) + (10 - 3)]

Step-by-step explanation:

Jeff earns $8 and spends $2 each week.

Each week he keeps (8 - 2).

Joe earns $10 and spends $ each week.

Each week he keeps (10 - 3).

The total amount they keep each week is

(8 - 2) + (10 - 3).

If you divide the cost of the game by the amount they keep each week, you get the number of weeks.

Answer: 52/[(8 - 2) + (10 - 3)]

The drama club is selling tickets to their play to raise money for the
show's expenses. Each student ticket sells for $6 and each adult ticket
sells for $11. The auditorium can hold at most 100 people. The drama
club must make no less than $770 from ticket sales to cover the show's
costs. If x represents the number of student tickets sold and y
represents the number of adult tickets sold, write and solve a system of
inequalities graphically and determine one possible solution.

Answers

Answer:

Student tickets sold 66

Adult tickets sold 34

Step-by-step explanation:

x=6.     y=11

x+y=100. Multiply by -6

6x+11y=770 Then combine terms

5y=170 Divide 5 on both sides

y=34 Then do 100-34

x=66

This is the solution for the club to not earn anything but able to cover the fees.

The inequality form can be written as,

total revenue=66x+34y in this case total revenue=0

Billy wanted to write a ratio of the number of apples to the number of peppers in his refrigerator. He wrote 1 : 3. Did Billy write the ratio correctly? Explain your answer.

Answers

Answer:

No.

Step-by-step explanation:

It should be 3:1 since the number of apples comes first in the ratio.

Answer:

yes, because if you express it as 1:3 or 1/3 is the same thing

In a classroom of 50 students 30 brought apples to school while 14 brought oranges to school. If 18 students brought niether fruit to school, how many brought both apples and oranges to school?

Answers

Step-by-step explanation:

Hope it helps man ..... ..

One line segment m is (3x + 5) units long and line segment n is (x - 10). What is the value of r if line segments m and n are congruent? ​

Answers

Answer:

I believe it is -17.5. Tell me if I am wrong

Step-by-step explanation:

3x + 5 = x - 10

-x   -5   -x    -5

2x = -15

x = -7.5

3(7.5) + 5

= 22.5 + 5

= -17.5

Alberto wants to keep their favorite tree from being uprooted by heavy winds. They plan to tie 3 sections of rope to a band on the trunk of the tree, 5 feet above the ground. They will tie each section of the rope to a stake in the ground 12 feet out from the base of the tree. How much rope will he need altogether?

Answers

Answer:

39 ft

Step-by-step explanation:

Using the description as a guideline I have drawn out the situation (badly drawn) as seen in the picture below. From the picture, we see that we need to find x which is the length of one of the ropes. Once we have this length we simply multiply it by 3 to find out how much rope we need altogether. Since this is the diagonal of a triangle we can use the Pythagorean theorem to solve for x.

Pythagorean theorem: [tex]a^{2} +b^{2} = c^{2}[/tex]  .... which a and b are the two sides while x is the diagonal.

[tex]5^{2} +12^{2} = x^{2}[/tex]

[tex]25 + 144 = x^{2}[/tex]

[tex]169 = x^{2}[/tex] ... now we square root both sides

[tex]13 = x[/tex]

Now that we have the length of one of the ropes we simply multiply this by 3 to find the total amount of rope needed.

13 * 3 = 39 ft

Please help me with this assessment. I messed this class due to surgery. It’s due today.

Answers

Answer:

1) X = 12

2) 10 = Y

3) K = -3

4) N = -2

5) X = 5

6) X = -1.2 (plz double check)

7) W = 0.6

8) N = -0.28

9) I forgot how to do that

10) X = 7

Step-by-step explanation: What's your teacher trying to pull on you with those weird numbers? Double check my answers for those but everything should be correct. Let me know.

U KNOW WHAT IM GOING TO SAY HELPPPPPP

Answers

Answer:

a and c

Step-by-step explanation:

Answer:

0.67 and 0.665

Step-by-step explanation:

How many points need to be removed from this graph so that will be a function?

Answers

4 , might be wrong that’s what I think tho

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is you have to remove 4 points.

There is 6 points in all and for a function it only needs two points to become a function. A function needs to be a that line that passes the vertical line test. For example: A circle is not a function because when you perform the vertical line test you'll see that many points share a common x-value and a function needs only one output in every input.

by selling some crates of soft drink for 600 Naira a dealer makes a profit of 50% how much did he pay for the drinks​

Answers

Answer:

300

Step-by-step explanation:

50% means half. If he payed half for the drinks, the drinks would have cost him 300

a trader silds 5 mobiles for Rs 35840and had profit of 12 %. find the cist of price of each mobile​

Answers

Answer:

[tex]\huge{\boxed{\sf{ 6400 }}}[/tex]

Step-by-step explanation:

Correction:

A trader sells 5 mobiles for Rs 35840 and had profit of 12% . Find the cost price of each mobile.

Solution:

Selling price of 5 mobiles = Rs 35840

Now, we have to find the selling price of 1 mobile. So, for the cost of 1 mobile , the cost of 5 mobiles is divided by 5.

i.e [tex]\frac{35840}{5} =[/tex] Rs [tex]7168[/tex]

We have,

Cost of 1 mobile = Rs 7168

Profit % = 12 %

Finding the cost price of each mobile :

[tex]\boxed{\sf{ CP = \frac{SP * 100}{100 + Profit percent}}}[/tex]

[tex]CP = \frac{7168 * 100}{100 + 12}[/tex]

[tex]CP = \frac{716800}{112}[/tex]

[tex]CP =[/tex] Rs [tex]6400[/tex]

Hope I helped!

Best wishes!

~[tex]\text{ TheAnimeGirl}[/tex]

3x = -39 solve for x

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

x = -13

▹ Step-by-Step Explanation

3x = -39

Divide both sides by 3:

3/3 = 1x

-39/3 = -13

FINAL ANSWER:

x = -13

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

X is - negitave -42

Step-by-step explanation:

3- (-42) = -39

Describe how to transform the graph of f into the graph of g. F(x)= sqrt(x) and g(x)= - sqrt(x).

A: reflect the graph of f across the y-axis
B: reflect the graph of f across the y-axis and then reflect across the x-axis.
C: reflect the graph of f across the x-axis.
D: The graph shifts left two units.

Answers

Answer: A reflect the graph of f across the y-axis

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