A certain fraction has the value 3/4. If its numerator is decreased by 7 and its denominator is increase by 4, the resulting fraction has the value 1/2. Find the original fraction​

Answers

Answer 1
27/36 give me brainliest plz
Answer 2

Answer:

n = 16 - 7

n = 9

Step-by-step explanation:

If the numerator of a fraction is increased by 3, the fraction becomes 3/4."

Cross multiply

4(n+3) = 3d

4n + 12 = 3d

"If the denominator is decreased by 7, the fraction becomes 1."

Cross multiply

1n = d - 7

n = (d-7)

In the 1st equation replace n with d-7

4(d-7) + 12 = 3d

4d - 28 + 12 = 3d

4d - 3d - 16 = 0

d = 16 is the denominator

then n = 16 - 7

n = 9

9/16 =  the original equation


Related Questions

PLZ ANSWER ASAP PLZ

factor the polynomial -2x^3-4x^2-6x​

Answers

Answer:

-2x(x^2+2x+3)

Step-by-step explanation:

-2x^3-4x^2-6x

=-2x(x^2+2x+3)

angles on a line and at a point
work out the size of angle x

Answers

Answer:

WHAT ANGLE THERE IS NO ANGLE

Step-by-step explanation:

If line QN bisects angle PQR and N is the midpoint of line PR classify each triangle by its angles and sides

Answers

Answer:

The answer is "Equiangular, Equilateral"

Step-by-step explanation:

please find the complete question in the file.

In this question, the answer is equiangular, in which the triangle was considered an equilateral triangle with 3 parallel inner angles. It's the measurement of each of these interior angles is 60 degrees, inside an equiangular triangle, and although there 3 parallel sides of an equiangular triangle, so it is just like an equilateral triangle.

Based on the sides and angles of a triangle, triangle PQR would be classified as: an equilateral triangle.

Recall:

An equilateral triangle all three sides that are congruent and also has all of its three interior angles equal to 60 degrees each.

In the diagram given (see image attached below), we have the following:

PQ = RQ = 14 (congruent sides)

PN = NR = 7 (N is the midpoint of PR)

Therefore:

PR = PN + NR

Substitute

PR = 7 + 7 = 14

This shows that triangle PQR has equal side lengths measuring 14 units (PQ = RQ = PR = 14).

Also, we are given that:

m<QPR = m<QRP = 60 degrees (two congruent angles).

Taking right triangle QNR into consideration,

m<NQR = 180 - (90 + 60) (sum of triangle)

m<NQR = 30 degrees

Therefore:

m<PQR = m<NQR + m<PQN

Substitute

m<PQR = 30 + 30

m<PQR = 60 degrees.

This means that, triangle PQR has three equal angles measuring 60 degrees each (<PQR = <QPR = <QRP = 60 degrees).

Therefore, based on the sides and angles of a triangle, triangle PQR would be classified as: an equilateral triangle.

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A box has a square base of side 20cm and height 10cm. Calculate the percentage increase in the volume of the box after the length and width of the base are both increased by 20% and then height by 15%

Answers

Answer:

Step-by-step explanatio

Answer:

65.6%

Step-by-step explanation:

Volume of the box:

V = lwh20*20*10 = 4000 cm³

New volume:

(20*1.2)*(20*1.2)*(10*1.15) = 4000 *(1.2*1.2*1.15) = 4000*1.656

1.656 times increase is equivalent of 65.6% increase

Two friends, Skylar and Sofia, took summer jobs. The equation y 22.73x represents Sofia's earnings in dollars and cents, y, for working hours. The graph below represents Skylar's earnings in dollars and cents, y, for working x hours. Y Skylar's Earnings S600 $550 $500 $450 (20,$450) $400 S350 Earnings (Dollars) S300 S250 S200 (10, $225) $150 $100 $50 5 25 15 30 35 40 45 50 60 55​

Answers

Here’s the answer with the explanation. The final answer is y=22.5x

Which equation could generate the curve in the graph below?

On a coordinate plane, a parabola opens down. The parabola is in quadrants 2 and 3, and has its vertex in quadrant 2.
y = –2x2 + 3x – 5
y = –2x2 – 4x – 2
y = –2x2 – 16x– 28
y = –2x2 +16x –28

Answers

Answer:

Its C boys

Step-by-step explanation:

I graphed all of them and compared

The equation that could represent the graph of the parabola is (c) [tex]y = -2x^2 - 16x- 28[/tex]

From the question, we have the following highlights

The parabola opens downThe vertex is in the second quadrant

The second highlight above means that:

The x coordinate (h) of the vertex is negative, while the y-coordinate (k) is positive.

For a parabola: [tex]y = ax^2 + bx + c[/tex], the vertex is:

[tex](h,k) = (-\frac{b}{2a},f(h))[/tex]

Next, we test the options

(a) y = –2x2 + 3x – 5

We have:

[tex]h = -\frac{3}{-2 \times 2}[/tex]

[tex]h = 0.75[/tex]

The value of h is positive.

So, this cannot represent the parabola

(b) y = –2x2 – 4x – 2

We have:

[tex]h = -\frac{-4}{-2\times 2}[/tex]

[tex]h = -1[/tex]

Substitute -1 for x in the function

[tex]k = -2x^2 - 4x - 2[/tex]

[tex]k = -2(-1)^2 - 4(-1) - 2[/tex]

[tex]k = 0[/tex]

The value of k cannot be 0

So, this cannot represent the parabola

(c) y = –2x2 – 16x– 28

We have:

[tex]h = -\frac{-16}{-2\times 2}[/tex]

[tex]h = -4[/tex]

Substitute -4 for x in the function

[tex]k = -2x^2 - 16x- 28[/tex]

[tex]k = -2(-4)^2 - 16(-4)- 28[/tex]

[tex]k=4[/tex]

The x coordinate (h) of the vertex is negative, while the y-coordinate (k) is positive.

Hence, [tex]y = -2x^2 - 16x- 28[/tex] could represent the parabola

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A recent survey has shown that 68% of professional photos are of humans, 39% are of pets, and 17% are of both humans and pets. Suppose a professional photo is selected at random and it is of a human. What is the probability that the photo also has a pet?

0.17
0.25
0.39
0.44

Answers

Answer:

.25

Step-by-step explanation:

I just took the quiz

The probability that the photo also has a pet is 0.17

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We are given that recent survey has shown that 68% of professional photos are of humans, 39% are of pets, and 17% are of both humans and pets.

We need to find the probability that the photo also has a pet.

Therefore,

P(a pet) = 39% = 0.39

P(humans) = 68% = 0.68

P(both humans and pets) = 17% = 0.17

This gives;

P(the photo also has a pet) = 0.17

The probability that the photo also has a pet is 0.17

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A store is offering a 30% discount off the regular price of a jacket them amount off the discount was $21 what was the regular price of the jacket

Answers

Answer:

(21/30)*100 = $70

Step-by-step explanation:

True or False?
We can think of equivalent ratios as representing different numbers of batches of the same recipe.

Answers

Answer:

false

Step-by-step explanation:

Answer:

FALSE

Step-by-step explanation:

In how many different ways can the letters of the word 'CORPORATION' be arranged.

Answers

Hey :)

The answer is 50400 ways

Because,
The word 'CORPORATION' has 11 letters.

It has the vowels 'O', 'O', 'A', 'I', 'O' in it and these 5 vowels should always come together.

These 5 vowels can be grouped and considered as a single letter. CRPRTN (OOAIO).

Hence we can assume total letters as 7. But in these 7 letters, 'R' occurs 2 times and rest of the letters are different.


Hope this helps!


Which of these are linear? Choose ALL that apply.

Please help I got 20 minutes

Thank you to all

Answers

Answer:

y=2x-4 is linear while the other is quadratic.

1
Simplify. 6( 24x - 60) + 2x

Answers

Answer:

D:-2x +10

Step-by-step explanation:

First, distribute. -1/6 multiplied by 24x is -4x. -60 multiplied by -1/6 is 10. This gives us -4x+10+2x, then combine like terms to get -2x+10

if f(x) = a^x. and f(4) = 256 find f(5). assume a>0

Answers

Answer:

[tex]f(5)=1024[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=a^x[/tex]

Where a>0.

We know that f(4)=256. Therefore:

[tex]\displaystyle f(4)=a^4=256[/tex]

So:

[tex]a^4=256[/tex]

Find the value of a. Take the fourth root of both sides:

[tex]a=\sqrt[4]{256}=4[/tex]

Therefore, our function is:

[tex]f(x)=4^x[/tex]

Hence:

[tex]f(5)=4^5=1024[/tex]

There are 72 people in Mrs. Putzig's classes. One fourth of the students are going to the Saturday picnic. One half of those students are bringing a game to play at the picnic. How many students are going to the picnic and bringing a game?


A. 32 students
B. 18 students
C. 9 students
D. 10 students

Answers

Answer:

are u sure they are the right options

Step-by-step explanation:

9 student I think so C

Factor each expression by factoring out the common binomial

5a(y + 4) + 8(y + 4)

Answers

Answer:

Factoring the term [tex]5a(y + 4) + 8(y + 4)[/tex] we get [tex](y+4)(5a+8)[/tex]

Step-by-step explanation:

We need to factor the term: [tex]5a(y + 4) + 8(y + 4)[/tex]

Factoring:

[tex]5a(y + 4) + 8(y + 4)[/tex]

Taking (y+4) common

[tex](y+4)(5a+8)[/tex]

It cannot be further factored.

So, Factoring the term [tex]5a(y + 4) + 8(y + 4)[/tex] we get [tex](y+4)(5a+8)[/tex]

what is the greatest common factor between 110 and 132​

Answers

The greatest common factor is 22




Explanation:


It is the largest number that goes into both 110 and 132.

Answer:

the greatest common factor between 110 and 132 is 22

Step-by-step explanation:

hopefully this helps :)

Katarina wrote the standard form of a linear equation as 4x - 2/3y = 8. Sofiya told her that the equation was not yet
in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina?

Answers

Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. is the correct advice given by Sofiya.

what is 8 time the square root of 6

Answers

Answer:

19.5959179423 or when simplified, 19.6

Step-by-step explanation:

Find the area of this parallelogram?

Answers

Answer:

A = 210.

Step-by-step explanation:

Area = b*h

In this case, it is 14 (base) times 15 (height)

14*15=210

(19 is an extra number that we don't need)

11.1(6)+10.5(7)= +73.5
what goes in between = and +

Answers

Answer : 66.6

Hope this helps

Which expression is equivalent to 3x - (2x + 4) + 5

Answers

20 - 5x.

or

x + 1

Brainliest?... thx

Answer:

x+1

Step-by-step explanation:

Hope This Helps :)

Help ASAP Find the measure of 3.

90°
26°
116°
64°

Answers

Answer:

90°

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Can you please help me with this?

Answers

The answer to the question is.4771

Let x be the weight of a juvenile condor. Write the possible unique values for x: (NOTE: Separate each value in the list with a comma.) equation editorEquation Editor .

Answers

MISSING PART OF QUESTION:

Consider the population of four juvenile condors. Their weights in pounds are : 5, 6, 10, 13

Answer:

The unique weights are 5, 6, 10 and 13

Step-by-step explanation:

Given

Weights: 5, 6, 10, 13 pounds

Required

Determine the unique weights of the juvenile

From the question, we understand that the weights of the juveniles could be any of 5 pounds, 6, 10 or 13 pounds

These values are the unique weights of the juveniles.

In other words, any value other than 5, 6, 10 or 13 can not be regarded as weights of the juveniles.

Hence, the unique weights are 5, 6, 10 and 13

Shyla answered 38 out of 40 questions correctly on the quiz. What percent did she answer correctly? She answered 95% correctly. Show the proportion and work that gives that answer.

Answers

Answer: I think 90 %

Step-by-step explanation:

Answer:

it is 95%

Step-by-step explanation:

Find the value of x. *
18
56
21

Answers

The answer for x is 18 because they measure the exact amount and it couldn’t be 21 because 21 is longer

A cable company charges $70 per month for cable service to existing customers
A. Find a linear equation representing the relationship between x, the number of months of service and y, the total amount paid in dollars by and existing customer

Answers

Answer:

70x=y

70 per month=y, the cost

PLEASE HELP (PRE ALGEBRA)

Answers

Answer: r = 4

Step-by-step explanation:

V = pi * r^2 * h

144 * pi = pi * r^2 * 9

Divide by pi

144 = r^2 * 9

Divide by 9

16 = r^2

Take square root of both sides

rad(16) = rad(r^2)

4 = r

r = 4

What is the quotient for 11/8 ÷ 3/4
And solve

Answers

Answer:

Decimal Form:

1.833333 (add a line over 3 because the answer is 1.83 repeated)

Mixed Number Form:

1 5/6

Choose the correct solution set for each graph. Please help ASAP! 25 point reward.

Answers

The solution set of First graph is,

⇒ {x | x ≥ -2}

The solution set of second graph is,

⇒ {x | x > -5}

The solution set of third graph is,

⇒ {x | - 2 < x < 3}

Given that;

There are three graph.

We have to find the solution set of each graph.

What is Number line?

A horizontal line which represent numbers at equal intervals one after another form smaller to greater (From Left to Right), is called Number line.

In the first number line;

At point -2 closed circle is represent that's mean in a set -2 is present and a ray going towards negative direction.

Hence, The solution set of First line is,

⇒ {x | x ≥ -2}

Option 1 is true.

In the second number line graph;

At point -5 the open circle represent that's mean in set - 5 is not present and ray going in the positive direction.

Hence, The solution set of second line is,

⇒ {x | x > -5}

Option 3 is true.

In the third number line graph;

At points -2 and 3 the open circle represent and a line segment is from -2 to 3 is shown.

Hence, The solution set of third graph is,

⇒ {x | - 2 < x < 3}

Option 1 is true.

Therefore,

The solution set of First graph is,

⇒ {x | x ≥ -2}

The solution set of second graph is,

⇒ {x | x > -5}

The solution set of third graph is,

⇒ {x | - 2 < x < 3}

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Answer:

First Graph would be answer choice "B" & "E"

Second Graph would be answer choice "A" & "C"

Third Graph would be answer choice "A" & "D"

Step-by-step explanation:

As you can see through the screenshot, Everything is correct what I just said! :)

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