The value of the numerator of a particular fraction is one-half the value of its denominator. If the numerator is increased by 2 and the denominator is decreased by 2, the value of the resulting fraction is 3/4. What is the denominator of the original fraction? URGENT!

Answers

Answer 1

Answer:

14

Step-by-step explanation:

Let the original denominator be 2x.

The original numerator is x.

The original fraction is x/(2x).

The numerator is increased by 2, and the denominator is decreased by 2.

The new fraction is (x + 2)/(2x - 2).

The new fraction equals 3/4.

(x + 2)/(2x - 2) = 3/4

Cross multiply.

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

4x + 8 = 6x - 6

-2x = -14

x = 7

The original numerator was 7.

2x = 2(7) = 14

The original denominator was 14.


Related Questions

he factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot: 1 is labeled + x, 1 is labeled negative. 5 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 10 tiles are in the Product spot: 1 is labeled + x squared, 1 is labeled negative x, the 4 tiles below + x squared are labeled + x, and the 4 tiles below the negative x tiles are labeled negative. What are the factors of x2 + 3x – 4? (x + 4) and (x – 4) (x + 3) and (x – 4) (x + 4) and (x – 1) (x + 3) and (x – 1)

Answers

Answer:

x-1 and x+4. srry if i am wrong

Step-by-step explanation:

BRAINLIEST WILL BE MARKED(THAT MEANS- 3 EXTRA POINTS) HERE! GRAPHING HELP 101

The graph of f(x)=x2 is shown.

Use the parabola tool to graph the function g(x)=(1/5x)2.m
The 1/5 is a fraction.
The graph with the blue highlight is my answer. LET ME KNOW IF MY ANSWER IS RIGHT OR WRONG! ASAP PLEASE AND THANK YOU WILL MARK BRAINLIEST!

Answers

Answer:

I think its wrong. For g(5)=(5/5)^2=1 and in your graph is something close to 3. The correct graph for [tex]g(x)=(\frac{1}{5}x)^2[/tex] is

Answer:

False

Step-by-step explanation:

Took the test and this is what I got

The first step in determining the solution to the system of equations, y = –x2 – 4x – 3 and y = 2x + 5, algebraically is to set the two equations equal as –x2 – 4x – 3 = 2x + 5. What is the next step?

answers are:
Set y = 0 in y = –x2 – 4x – 3.
Factor each side of the equation.
Use substitution to create a one-variable equation.
Combine like terms onto one side of the equation.

Answers

Answer:

Combine like terms onto one side of the equation

Step-by-step explanation:

Given the first step in determining the solution to the system of equations,

y = –x2 – 4x – 3 and y = 2x + 5, algebraically as setting the two equations equal as shown:  –x2 – 4x – 3 = 2x + 5, the next step will be to combine like terms onto one side of the equation. The like terms are the terms containing the variable x as shown;

-x²-4x-2x = 5+3

As we can see, the term containing x in the right hand side of the equation (i.e 2x) are being brought to the left side of the equation. This will be the next step in the calculation

Answer:

D. Combine like terms onto one side of the equation.

Step-by-step explanation:

please help i put a picture on top

Answers

Answer:

1/8÷7

Step-by-step explanation:

I think

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

5x^2 + 10x

Step-by-step explanation:

Area = Width x Height

Area = (5x)(x+2)

Use distributive property

5x^2 + 10x

Answer:

A = 5x^2 + 10x

Hope this helps!

Edit: I did not copy hazeemmajid604's answer.. we just posted it at the same time.

Triangle ABC was transformed to be triangle DEF using one transformation. What transformation was performed? translation reflection rotation dilation

Answers

Answer:

This is a rotation of 180 degrees

Step-by-step explanation:

A translation is a shift side to side or up and down

A reflection is a mirror image across a line

A dilation is a shrink/enlargement

This is a rotation of 180 degrees.  If we rotate around the origin 180 degrees, we will have the same image

Answer:

B. one 90 degree rotation

Step-by-step explanation:

im smart.

Stephanie just redecorated her bedroom. She wants to paint her door green but needs to know the surface area
of the door to see if she has enough paint.
80 cm
1
200 cm
3 cm
What is the surface area of the door?

Answers

Answer:

please give more clarification

Answer:

33680

Step-by-step explanation:

A cylinder has a radius of 3 cm and height h cm. If the volume is 7211 cm^3.
what is the value of h?​

Answers

Answer:

[tex]255.04[/tex] cm

Step-by-step explanation:

[tex]\pi r^{2} h[/tex]

[tex]\pi \times 3^2 \times h=7211[/tex]

[tex]\pi \times 9 \times h=7211[/tex]

[tex]h=7211 \div 9\pi[/tex]

[tex]h \approx 255.036954[/tex]

Answer:

h = 255.2 cm³

Step-by-step explanation:

V=πr²h

7211 = (3.14)(3)²h

h = 255.2 cm³

The Wild Dogs and the Rattlers also have membership programs for their fans. The Wild Dogs program has an initial fee of $20 and a discounted single-game ticket price of $1.50. The Rattlers program has an initial fee of $14 and a discounted ticket price of $2.25 per game. Which linear equation represents the Wild Dogs program? Let x represent the number of games and y the total c

Answers

Answer:

b y=1.5x+20

Step-by-step explanation:

JUST DID IT ON ENDGE 2021

The equation for Wild Dogs program is y = 20 + 1.5x.

What are Linear Equations in Two Variables?

The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.

Given membership program for  Wild Dogs and the Rattlers,

for Wild Dogs,

initial fee = $20

ticket price per game = $1.50

for Rattlers

initial fee = $14

ticket price per game = $2.25

linear equation for  Wild Dogs program,

Let x represent the number of games and y the total

y = 20 + 1.5x

for Rattlers

y = 14 + 2.25x

Hence the equation for  Wild Dogs program, is y = 20 + 1.5x.

Learn more about Linear Equations in Two Variables;

https://brainly.com/question/24085666

#SPJ5

Please help me with my question!!

Answers

Answer:

Step-by-step explanation:

Area of triangle = (1/2)bh

                          [tex]=\frac{1}{2}*25*21.65\\\\[/tex]

                          = 270.625 cm²

Area of 6 triangles = 6 * 270.625

                              = 1623.75 cm²

Trapezium:

a = 25 cm

b = 25 +  12.5 +12.5 = 50 cm

h = 21.65 cm

[tex]Area=\frac{(a+b)*h}{2}\\\\=\frac{(25+50)*21.65}{2}\\\\=\frac{75*21.65}{2}[/tex]

=811.875 cm²

Area of two trapezium = 2 *811.875

                                     = 1623.75 cm²

Area of star = 1623.75 +1623.75

                  = 3247.50 cm²

Answer:

3247.50 cm sq

Step-by-step explanation:

Carole's age is five times Joe's age. The sum of their ages is 18. How old are Carole and Joe? (Solve using systems of linear equation)

Answers

c = 5j

c + j = 18

5j + j = 18

6j = 18

j = 3

c = 5(3) = 15

Answer: Carole is 15, Joe is 3

Answer:

Joe is 3 and Carole's age is 15

Step-by-step explanation:

Joe: x

Carole: 5x

5x+x=18

6x=18

x=3

Please help. I will be constantly asking questions on the app to finish a class and i only have a day​

Answers

Answer: C [tex]0\leq y\leq 5[/tex]

Step-by-step explanation:

Triangle ABC has a perimeter 22cm AB = 8cm BC =8cm By calculation, deduce whether triangle ABC is a right angle triangle. NEED AN ANSWER ASAP

Answers

Answer:

No ABC is not a triangle

Step-by-step explanation:

Perimeter = 22 cm

AB = 8 cm ; BC = 8 cm

AC = 22 - ( 8 + 8 ) = 6 cm

But all those sides doesn't follow Pythagorean Theorem(AB^2 + BC^2 = AC^2) ....because 8^2 + 8^2 isn't equal to 6^2 ......

Had it followed the theorem , it could have been a right angle triangle...

Simplify this problem

Answers

Answer:

[tex] \boxed{ \frac{ \sqrt[3]{ {x}^{11} } }{4} } [/tex]

Step-by-step explanation:

[tex] = > \frac{ {x}^{4} }{ \sqrt[3]{64x} } \\ \\ = > \frac{ {x}^{4} }{ {(64x)}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4} }{ ({64}^{ \frac{1}{3} } )\times ({x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({( {4}^{3} )}^{ \frac{1}{3} }) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({4}^{ \cancel{3} \times \frac{1}{ \cancel{3}} } ) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{4 {x}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4 - \frac{1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{12 - 1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{11}{3} } }{4} \\ \\ = > \frac{ \sqrt[3]{ {x}^{11} } }{4} [/tex]

Cindy is facing South through how many degrees should she turn clockwise to face East? a. 90° b. 180° c. 270° d. 360° e. Other:

Answers

Answer:

90°

Step-by-step explanation:

because from south to east is half of north which makes it 90°

Melanie’s bedroom floor is rectangular in shape and has a width equal to 8x−6 and a length equal to 7x−3. What equation represents the area of the floor?



Select one or more:
a. A=56x2+66x+18

b. A=56x2+18x+18

c. A=56x2−66x+18

d. A=56x2−18x+18

Answers

Answer:

C

Step-by-step explanation:

Since the area of a rectangle is the width multiplied by the length, the area of this one would be:

[tex](8x-6)(7x-3)= \\\\56x^2-42x-24x+18=\\\\56x^2-66x+18[/tex]

Therefore, the correct answer is choice C. Hope this helps!

Zara ate 75 almonds this week, or 150% as many as she ate last week. How many almonds did Zara eat last week?

Answers

Zara ate 50 almonds last week which is 150% as many as she ate last week.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Zara ate 75 almonds this week, or 150% as many as she ate last week.

Let's assume that she eat x almonds last week

As per the given question, we can write the percentage would be as

⇒ 150% of x = 75

⇒ (150/100) x = 75

Apply the cross-multiplication operation,

⇒ 150x = 7500

Divided by 150 into both sides of the above equation,

⇒ x = 7500/150

⇒ x = 50

Therefore, she eat 50 almonds last week.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

Jeremy jogged 75 yards from his house to school how many feet did Jeremy jog? Solve this problem any way you choose.

Answers

Answer:

1 yard = 3 ft

75 yards = 75 * 3

75*3 = 225

He ran 225 ft

If you need inches = 225*12

inches = 2700 inches

Answer:

225 feet

Step-by-step explanation:

3 feet equals 1 yard

? Feet equals 75 yards

75 times 3 equals 225 feet

Bill is purchasing accordion lessons. There is a $20 materials fee and each lesson costs $15. Write an equation for the situation and then determine how many lessons Bill took if his total cost was $125.

Answers

Answer:

The equation is 20 + 15x. Bill took 7 lessons.

Step-by-step explanation:

Let x represent the number of lessons Bill take. Then,

the total cost = materials fee + (each lesson cost).x

Since the materials fee is $20 and each lesson costs $15

The total cost = 20 + 15x

Since Bill's total cost was $125:

→ 125 = 20 + 15x

→ 105 = 15x

→ x = 7

A shopkeeper sold a book for $ 180.He made a profit of 20%.calculate the cost price of the book.

Please help!Am new to this chapter.

Answers

Hello!

Answer:

The cost of the book is $150.

______________________________Explanation:

CP = [tex]\frac{SP(100)}{100 + PP}[/tex]

Basically, what this formula is saying is that to find the cost price (CP), we must multiply the sale price (SP) by 100, and divide the product by the sum of 100 + profit percentage (PP).

CP = [tex]\frac{180(100)}{100 + 20}[/tex]

CP = [tex]\frac{18000}{120}[/tex]

CP = 150

       

Answer:

$150

Step-by-step explanation:

let cp=x

(20/100*x) +x=180

1/5x+x=180

6x/5=180

6x=180*5

x=(180*5)/6

x=150

The rati of the number of moons the planet neptune has to the number that saturn has is 4 to 9 saturn has 18 moons how many moons does nepturn have ???

Answers

Answer:

HEY!

Neptune contains 8 moons.

Step-by-step explanation:

18/9) *4 = 8 moons. Hence, Neptune has a total of 8 moons according to the given conditions.

PLS ANSWER PLS MARK AS U KNOW WHAT

Answers

Answer:

2/4 +6/8 =5/4

Step-by-step explanation:

x varies jointly as y^3 and square root of z . If x = 7 when y = 2 and z = 4, find x correct to 2 decimal places, when y = 3 and z = 9.

Answers

Answer:

x=35.44

Step-by-step explanation:

x=ky^3 and√z

x=k(y^3)(√z)

Find k when

x=7

y=2

z=4

7=k(2^3)(√4)

7=k(8)(2)

7=k(16)

7=16k

k=7/16

Find x when y=3, z=9

x=k(y^3)(√z)

x=(7/16)(3^3)(√9)

x=(7/16)(27)(3)

=7/16(81)

=567/16

x=35.4375

Approximate to 2 decimal places

x=35.44

Is number one congruent? If it is how?

Answers

Answer:

Yes, Triangles in (1) are congruent

Step-by-step explanation:

Two conditions must be satisfied before two triangles can be deemed or declared as being congruent.

1.) They must posses similar shape

2.) They must posses similar size ( that is the corresponding sides and angles of both triangles must be the same)

Triangles in (1) meet both criterias by possessing similar shape with the size and length of the corresponding angles also being the same.

Therefore, the two triangles are congruent.

PLEASE HELP ME SHOW ME HOW U GOT YOUR ANSWER PLZ AND THANK U

Answers

Answer:

2/3

Step-by-step explanation:

There are 6 marbles in the jar

4 are not purple

P(not purple) = marbles that are not purple/ total marbles

                      = 4/6 = 2/3

Answer:

2/3

Step-by-step explanation:

since there are 6 total marbles and 4 of them are colors other than purple, there is a 4/6 chance of drawing a marble that is not purple which can be simplified to 2/3.

6. Classify this kind of triangle:

Answers

Answer:

Number 3

Step-by-step explanation:

It is an acute isosceles because all the angles are acute and two sides are congruent.

Answer:

Acute and isosceles

Step-by-step explanation:

All the angles are less than 90

2 sides are equal

(-4,-1),(-3,-1),(-2,-3),(-1,0),(-3,2 )IS IT AN FUNCTION OR NOT

Answers

Answer:

No it isn't a function one of the x values, -3, repeats

Step-by-step explanation:

sue's tyre pressure gauge shows a reading which is 8% higher than the actual pressure.
What is the actual pressure when sue's gauge shows 39.42?

Answers

Answer:

36.5 is the answer

Hope this helps!

Step-by-step explanation:

Let the actual pressure be x

The actual pressure is 100% of x

The pressure is showing 8% more

So the pressure showing now is the actual pressure + the extra pressure

= 100%+8% = 108%

= 108/100

So the equation is:

108/100 x = 39.42

108x = 39.42*100

108x = 3942

x= 3942/108

= 36.5

Therefore the actual pressure is 36.5

What is the first step in simplifying the expression 11x-2-3(1-7x)^2\(x+1)

Answers

Answer:

3(1-7x) is first step

Step-by-step explanation:

Answer:

BIDMAS

Step-by-step explanation:

brackets

indices

division

multiplication

addition

subtraction

so.. do everything inside the brackets and then use the square

hope this helps! :)

olivia has 2 gallons and 3 quarts of vanilla ice cream and 1 gallon and 2 quarts of ice cream left over form the party how many gallons and quarts does she have left

Answers

Answer:

She has 4 gallons and 1 quart left

Step-by-step explanation:

4 quarts equals a gallon. Add the 2 gallons with the one gallon and it's 3 gallons. Then add the 3 quarts with the other 2 quarts for another gallon with a quart left over. Add that gallon with the other three and she has 4 gallons and 1 quart. Hope this helps :>

Other Questions
Macbeth and Lady Macbeth are ruined by ambition. To what extent do you agree? 1-the principle of recycling applies only to open systems True/False 2-It is important that measurements be consistent in engineering becauseA-There is only one established system of measurement available B-there is one unit that is used to measure weight, length and distanceC-engineers often work together internationally and replicate each others' results I will give brainliest answer 1. A thesis should ________. (Select 3 choices) be only one sentence be more than one sentence contain an arguable idea contain a fact should be at the end of the introduction paragraph should be at the beginning of the introduction paragraph 2. A standard essay should continue which of the following types of paragraphs? (Select 3 choices) introduction paragraph body paragraph conclusion paragraph thesis paragraph expository paragraph informational paragraph 3. The BEST way to support your ideas with evidence is to _______. (select all that apply) directly quote a text paraphrase a text summarize a text provide personal stories 4. Evidence should be _________. (Select 3 choices) specific relevant to the topic explained general vague clear 5. Which of the following three things must you do when including evidence in your writing? (Select 3) Introduce it Include a citation Explain the evidence Isolate the evidence Complete the sentence Explain the citation 6. Which of the following citations is incorrect? The author states, "Bertrand Wright often struggles with organization when writing his novels" (68). The author states that "Bertrand Wright often struggles with organization when writing his novels" (Blalock 68). Blalock states, "Bertrand Wright often struggles with organization when writing his novels" (68). Blalock notes the importance of organization: "Bertrand Wright often struggles with organization when writing his novels" (68). Please Help ASAP!!! These are the questions I need help answering out of the 35 the test includes!!! HURRY! WILL GIVE BRAINLIEST! HURRY 4 (9x+6) = 36x - 7 what does x = In the diagram shown, m Why did the Spanish want to convert American peoples to Christianity? How did the Spanish try to convert the American Indians? Write two sentences that answer each of these questions. Which best describes thermal energy? It is the difference between internal energies of two or more substances. It is the sum of internal energies of two or more substances. It is the portion of internal energy that can be transferred from one substance to another. It is the portion of potential energy that can be transferred from one substance to another. What did John Dalton publish? The difference of two timbers is 8. When twice the first number is added to three times the second number, the result is 51. What are the two numbers? Please may someone help with question four Which is correct?OA I can take apart any engine in under 30 minutes.OB. I can take apart any engine. In under 30 minutes. Identify the level of measurement of the data, and explain what is wrong with the given calculation. In a survey, the favorite sports of respondents are identified as 100 for basketball comma 200 for baseball comma 300 for football comma and 400 for anything else. The average (mean) is calculated for 597 respondents and the result is 256.1 .The data are at the _________________level of measurement. Which expression is equivalent to the given expression?(6n-5)(3n-3)?A.36n11B.54n30C. 36n30D.54n11 Genetic drift and natural selection can both be mechanisms of evolution. However, they are very different mechanisms. Explain how genetic drift is different from natural selectio Find the value of a. a) 15 b) 10 c) 25 d) 20 Kat Outfitting currently has $22,500 in cash. The company owes $49,500 to suppliers for merchandise and $52,500 to the bank for a long-term loan. Customers owe the company $41,000 for their purchases. The inventory has a book value of $76,800 and an estimated market value of $72,000. If the store compiled a balance sheet as of today, what would be the book value of the current assets? Why do waves that travel through basalt have a higher velocity than a wave traveling through sand? Simplify the expression12x^-6 y^10 3x^7y