A business is owned by 3 people. Mrs. Applegate owns
3
19
of the business. Mrs. Brown owns 3 times as much as
Mrs. Charles. What fractional part of the business does Mrs. Brown own?

Answers

Answer 1

Given:

Mrs. Applegate owns  [tex]\dfrac{3}{19}[/tex] of the business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

To find:

The  fractional part of the business that Mrs. Brown owns.

Solution:

Let Mrs. Charles owns x part of business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

Mrs. Brown owns = 3x part of business.

Mrs. Applegate owns  [tex]=\dfrac{3}{19}[/tex] of the business.

[tex]x+3x+\dfrac{3}{19}=1[/tex]

[tex]4x=1-\dfrac{3}{19}[/tex]

[tex]4x=\dfrac{19-3}{19}[/tex]

[tex]4x=\dfrac{16}{19}[/tex]

Divide both sides by 4.

[tex]x=\dfrac{16}{4\times 19}[/tex]

[tex]x=\dfrac{4}{19}[/tex]

Now,

Mrs. Brown owns  [tex]=3\times x[/tex]

[tex]=3\times \dfrac{4}{19}[/tex]

[tex]=\dfrac{12}{19}[/tex]

Therefore, Mrs. Brown owns  [tex]\dfrac{12}{19}[/tex] of the business.


Related Questions

can someone help me !?

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x=3
Y=-8
Z= 1
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2 1/7 divided by 1 2/5

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The answer to the problem would be 5/7. Hope this helps.

Convert 12 ounces to pounds use the conversion rate 16 ounces = 1 pound

Answers

Answer:

3/4 pound

Step-by-step explanation:

12/ 16

÷4 on top and bottom

Answer:

0.75lbs

Step-by-step explanation:

Please please please help quickly!

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Um th eanswer is 56-64-34-3402-30 = 19038

What is the perimeter of an equilateral triangle which has an area of 96\sqrt{3}96
3

Answers

Answer:b

Step-by-step explanation:

Pls help me, im not understand this

Answers

Answer:

Step-by-step explanation:

Help I Dont Understand?

Answers

I am worry I tried but I think its the wrong answer good luck!

1/x+x/2=11/6 transformable to quadratic equations​

Answers

Note: Consider we need to find the solution of given equation.

Given:

The equation is

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

To find:

The solution of the equation.

Solution:

We have,

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]

By cross multiplication, we get

[tex]6(2+x^2)=11(2x)[/tex]

[tex]12+6x^2=22x[/tex]

[tex]6x^2-22x+12=0[/tex]

[tex]2(3x^2-11x+6)=0[/tex]

Divide both sides by 2.

[tex]3x^2-11x+6=0[/tex]

Splitting the middle term, we get

[tex]3x^2-9x-2x+6=0[/tex]

[tex]3x(x-3)-2(x-3)=0[/tex]

[tex](x-3)(3x-2)=0[/tex]

Using zero product property, we get

[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]

[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]

Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].

Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).

Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

We are given the algebraic equation:  1/x+x/2=11/6

Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.

LCD(x,2,6) = 6x

Multiply all through the fractions by 6x

(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)

6 + 3x² = 11x

Rewriting the equation:

3x² - 11x + 6 = 0

Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

To learn more, visit the link below:

https://brainly.com/question/18251794

i need help with these 9 questions they’re pretty simple

Answers

Answer:

1. n = 4

2. n = -29

3. n = -28

4. n = -48

5. n = -22

6. n = 97

7. n = 220

8. n = -18

9. n = 36

Step-by-step explanation:

1. -n = -4

Multiply both by -1 to get n = 4

2. 12 + n = -17

Subtract 12 from both sides of the equation to get n = -29

3. -n/14 = 2

Multiply by 14 on both sides of the equation to get -n = 28

Multiply -1 on both sides of the equation to get n = -28

4. -42 = n + 6

Subtract 6 from both sides of the equation to get -48 = n or n = -48

5. -4n = 88

Divide -4 on both sides of the equation to get n = -22

6. n + -3 = 94

Add 3 to both sides of the equation to get n = 97

7. 11 = -n/-20

Multiply by -20 on both sides of the equation to get -220 = -n or -n = -220

Multiply -1 on both sides of the equation to get n = 220

8. -108 = 6n

Divide by 6 on both sides of the equation to get -18 = n or n = -28

9. 67 = 31 + n

Subtract 31 from both sides of the equation to get 36 = n or n = 36

I Hope That This Helps! :)

which number are composite numbers-49,35,32,41,47

Answers

Answer:

49, 35, 32

Step-by-step explanation:

A prime number is a number whose factors are 1 and itself

Eg 7

7 is a prime number because it only comes in table one and 7

Or it’s only factors are 1 and itself

A composite number comes in 1, itself and other tables

Eg. 16

It comes in table 1, 2, 4 and 16

Answer: 49,32,35.

Hope this helps!

hectare is equal to 2.471 acres. A land developer buys a hectare of land to build homes. Each home will be built on 0.25 acres of land. How many homes can the land developer build on the hectare of space?

Answers

Answer:

2.221

Step-by-step explanation:

Multiply the divisor and the dividend by the same power of 10 so that the divisor is a whole number. To check if your answer is reasonable, estimate the quotient by rounding the divisor and dividend to the nearest whole numbers.

ANSWER:

try 2.721....................

What is the slope of this line?

5
1/5
-1/5
-5

Answers

Answer:

1/5

Step-by-step explanation:

You do rise over run so your rise is 1 and your run is 5 so the answer is 1/5.

And it is positive because it is pointed to the right side.

Hope this helps

Write the next three terms in each sequence. Make sure your
answers are separated by a comma and a space; like 1, 2, 3

25, 26, 27, 28, ...


Answers

Answer:

29,30,31

this is basically like counting just add 1

help lol i forgot the picture

Answers

Answer:

x=12

Step-by-step explanation:

4(12)+17 equals 65

(12)+23 equals 35

180-80=100

65+35=100

Three cards—one red, one green, and one blue—are to be arranged in a stack. Using R for red, G for green, and B for blue, make a list of all the different stacks that can be formed. (Some computer monitors are called RGB monitors for the colors red, green, and blue. Enter your answers as a comma-separated list.)

Answers

Answer:

RGB. RBG, BRG, BGR, GBR, GRB

Step-by-step explanation:

Given

R, G and B

Required

List all possible arrangement

First, we need to calculate the number of arrangement

There are 3 letters and they are to be arranged in order of 3.

So, we have:

[tex]n = 3[/tex] and [tex]r =3[/tex]

Number of arrangement is:

[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]

[tex]^3P_3 = \frac{3!}{(3 - 3)!}[/tex]

[tex]^3P_3 = \frac{3!}{0!}[/tex]

[tex]^3P_3 = \frac{3*2*1}{1}[/tex]

[tex]^3P_3 = \frac{6}{1}[/tex]

[tex]^3P_3 = 6[/tex]

Hence, number of arrangements is 6 and the arrangements are:

RGB. RBG, BRG, BGR, GBR, GRB

Translate the following equation into a verbal sentence: x + 3 = 2(6 + x)

Answers

Answer:

"x" plus three equals to two times six plus "x"

I don’t understand plz help me

Answers

Answer:

C×6=D

Step-by-step explanation:

You don't know her me calculators they have or they bought so you take C for the calculators multiply by 6 and D is the product or answer.

Mr Thompson wants to cut a 5-ft rope into a 1/4-ft sections how many 1/4 sections will he have

Answers

Answer:

20 pieces of rope

Step-by-step explanation:

Mr. Thompson has a 5-ft rope. If he cuts the rope into 1/4-ft pieces, that means for every foot, there are 4 pieces of rope. There are 5-ft of rope, so we multiply 5 and 4 to get the number of pieces of rope.

5 x 4 = 20 pieces of rope.

I hope that this helps! :)

In the 2017 national Youth Risk Behavior Survey, 16.5% of high school students had ridden with a driver who had been drinking alcohol within the previous month. This data came from an SRS of 14,500 students. what is the mean and standard deviation

Answers

Answer:

[tex]Mean = 2392.5[/tex]

[tex]SD = 44.70[/tex]

Step-by-step explanation:

Given

[tex]Students = 14500[/tex]

[tex]p = 16.5\%[/tex]

Solving (a): The mean

Mean is calculated as thus:

[tex]Mean = np[/tex]

[tex]Mean = 16.5\% * 14500[/tex]

Convert % to decimal

[tex]Mean = 0.165 * 14500[/tex]

[tex]Mean = 2392.5[/tex]

Solving (b): The Standard Deviation

Standard deviation (SD) is calculated as thus:

[tex]SD = \sqrt{np(1-p)}[/tex]

[tex]SD = \sqrt{14500 * 16.5\%(1-16.5\%)}[/tex]

Convert % to decimal

[tex]SD = \sqrt{14500 * 0.165 * (1-0.165)}[/tex]

[tex]SD = \sqrt{14500 * 0.165 * 0.835}[/tex]

[tex]SD = \sqrt{1997.7375}[/tex]

[tex]SD = 44.6960568731[/tex]

[tex]SD = 44.70[/tex]

Please help I have been stuck for 2 HOURS!

TY

Answers


the answer is
slope: - 1/6
y interpret (0,-6)
Ggfccffffffffffffffffff

HELP!!! Parallel Line Proofs

Answers

They add to 180 when you connect the two lines

Please help me I am confused

Answers

Add 8 to both sides of the equation

A quality control group found 7 defects for every 1250 units produced. If 8750 products were produced how many defects were there?

Answers

49 defects hope this helps :)

Which of the following is a solution for 5 - 2xs-3?
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4
1
-1

Answers

i want to say -1. if you first combine like terms the equation would look like 2-2x. then next step i did was divide both sides by negative 2 to get the x by itself. after i did that i got -1 x.

If there are 12 inches in a foot, how many inches are in 64 feet?

Answers

Answer:

768

Step-by-step explanation:

64*12

Answer:

768

Step-by-step explanation:

12x64=768

Talya wanted to hit 20 homeruns this season. She ended up hitting 150% of her goal. How many homeruns did Talya hit this season?

Answers

10 because 10 - 150% = 10

Answer:

30

Step-by-step explanation:

tell me if im  wrong

sorry if i am TmT

GIVING BRAINLIEST IF CORRECT PLEASE HELP ASA[P

Answers

Answer:

A) b= 8 students

B)  1) 19/55   2) 28/55

Step-by-step explanation:

I'm sorry if I'm getting this whole concept wrong cause it felt way too easy to be right so I'm sorry if you get it wrong.

The reason the first question is 8 is because of the fact that you first have to add the students charted on the Venn-diagram and subtract that from 55, getting you to 8 students.

For the second one, the first part would be 19/55 becuase in the Venn-diagram it is shown that only 19 people passed both and so that be the numerator and the denominator would be the total of students, so it would be 55.

Same thing for part two except the fact that you have to add the students who only passed one subject, so combine 17 and 11, getting you to 28, thus getting the answer 28/55.  

if Ad = 2x + 2 and cd= x +11, what is the value of x​

Answers

Answer: the answer is 9

Step-by-step explanation:

HELP!!!!i will give BRAINLIEST

Answers

Answer:

2.9

Step-by-step explanation:

2 9/10 as an improper fraction is 29/10

29/10 as a decimal is 2.9

Answer:

2.9

Step-by-step explanation:

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The scores of seven people playing a card game are listed below.

Answers

Answer:

there is nothing but a black screen

Step-by-step explanation:

Answer:Even though theres no screen the answers IQR is 73

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