A plumber had two pipes. The ratio of the length of the longer pipe to the
shorter pipe was 9 : 2. When he
cut 1.65 m from the longer pipe, the
remaining length was 3 times that of the shorter
pipe. Find the length of
the shorter pipe in metres.

Answers

Answer 1

Answer:

4.95m

Step-by-step explanation:

Let the length of longer and shorter pipe be x and y respectively..

given,

x/y=9/2...(i)

x-1.65=3y ...(ii)

in eqn ii..

x-1.65=3y

or, x/y - 1.65/y = 3

or, 9/2-1.65/y =3

or, 4.5-3 = 1.65/y

or, y=1.65/1.5

•°• y = 1.1m

now,

x/y = 9/2

or, x/1.1 = 4.5

x= 4.5×1.1

•°• x= 4.95m

thus, the length of the longer pipe is 4.95m


Related Questions

Find x on this triangle

Answers

Answer:

I didn't find the answer in the options

the height of the bigger triangle is 11√6/√3 = 11√2

x = 11√2 × √2 = 11×2 = 22

Answered by GAUTHMATH

A car is traveling at a rate of 80 miles per hour. Assume that 1 mile is equal to 1.6km.
what is the rate:. km/h
distance traveled in 3 hours: km​

Answers

I think that car travelled 128 km in one hour and 384km in 3 hours

Answer: 384 km

Step-by-step explanation:

Convert m/ph to k/ph by multiplying the equivalent of 1 mile in kilometers    

 (1m = about  1.6km) by the total number of miles.

 80  x  1.6 =  128

 You now have the distance traveled per hour in m/ph converted to k/ph.

 All you do now is multiply it by the time traveled:

 (128 kilometers per one hour for 3 hours)

 128 kph x 3 = 384km

Find the area of Parallelogram ABCD given M< A=30° AB=10in AD=6in A=

Answers

Answer:

30 in²

Step-by-step explanation:

Parallelogram height is,

6/2 (since it's a 30°-60°-90° triangle)

= 3

Area = base × height

= 10×3 in²

= 30 in²

Answered by GAUTHMATH

Which of the following equations is written in standard form?
A. 2+3x−6y=0
B. 4x−2y=0
C. −8x+4y=1
D. −3y+x−4=0

Answers

Answer:

Choice B.

[tex]4x - 2y = 0[/tex]

Step-by-step explanation:

Has integer coefficients and equal to 0.

A random variable X is generated as follows. We flip a coin. With probability p , the result is Heads, and then X is generated according to a PDF f X|H which is uniform on [0,1] . With probability 1−p the result is Tails, and then X is generated according to a PDF f X|T of the form
f X|T (x)=2x,if x∈[0,1]. (The PDF is zero everywhere else.)
1. What is the (unconditional) PDF f X (x) of X ? For 0≤x≤1 : f X (x)=
2. Calculate E[X] .

Answers

Answer:

Following are the solution to the given points:

Step-by-step explanation:

For point a:

[tex]fx|H(x) = 1;0< x<1\\\\fX|T(x) = 2x; 0\leq x \leq 1\\\\fx(x) = P(H \bigcap X = x) +P(T \bigcap X=x)\\\\[/tex]

[tex]=P(H)fX|H(x)+P(T)fX|T(x)\\\\= p(1) + (1-p)2x\\\\= p(1 -2x)+2x\\\\[/tex]

Using the PDF of the X value

[tex]fX(x) =2x +p(1 - 2x); \ 0\leq x\leq 1[/tex]

0 ; otherwise

For point b:

[tex]E(X)=\int^{1}_{0} \ x fX (x)\ dx=\int^{1}_{0} \ x(2x+p(1-2x))\ dx\\\\=\int^{1}_{0} \ (2x^2+(x-2x^2)p) dx\\\\[/tex]

[tex]= 2(\frac{x^3}{3}) + (\frac{x^2}{2}-2(\frac{x^3}{3}) \begin{vmatrix} x=1\\ x=0\end{vmatrix} \\\\[/tex]

[tex]= \frac{2}{3} + (\frac{1}{2} - \frac{2}{3})p\\\\= \frac{2}{3} -\frac{p}{6}\\\\= \frac{(4 - p)}{6}[/tex]

2.WHICH OF THE FOLLOWING IS A NON- NUMERIC DATA ? Required to answer. Single choice.

(1) 1,2,3,4,5,6

(2) 2,8,4,5,8

(3) A,B,AB,O

(4) NONE OF THE ABOVE​

Answers

Answer:

3.) A,B,AB,O

Step-by-step explanation:

Non-numeric data refers to categorical data, or data that is not expressed quantitatively. Answers (1) and (2) contain quantitative data, so they would be eliminated as potential answer choices and therefore (4) would also be eliminated. This leaves answer (3), which does not have quantitative data and is therefore non-numeric.

consider a study conducted to determine the average protein intake among an adult population. Suppose that a confidence level of 85% is required with an interval about 10 units wide. if a preliminary data indicates a standard deviation of 20g, what sample of adults should be selected for the study?​

Answers

Answer:

made up of about 20 common amino acids. The proportion of these amino acids varies as a characteristic of a given protein, but all food proteins—with the exception of gelatin—contain some of each. Amino nitrogen accounts for approximately 16% of the weight of proteins. Amino acids are required for the synthesis of body protein and other important nitrogen-containing compounds, such as creatine, peptide hormones, and some neurotransmitters. Although allowances are expressed as protein, a the biological requirement is for amino acids.

Proteins and other nitrogenous compounds are being degraded and resynthesized continuously. Several times more protein is turned over daily within the body than is ordinarily consumed, indicating that reutilization of amino acids is a major feature of the economy of protein metabolism. This process of recapture is not completely efficient, and some amino acids are lost by oxidative catabolism. Metabolic products of amino acids (urea, creatinine, uric acid, and other nitrogenous products) are excreted in the urine; nitrogen is also lost in feces, sweat, and other body secretions and in sloughed skin, hair, and nails. A continuous supply of dietary amino acids is required to replace these losses, even after growth has ceased.

Amino acids consumed in excess of the amounts needed for the synthesis of nitrogenous tissue constituents are not stored but are degraded; the nitrogen is excreted as urea, and the keto acids left after removal of the amino groups are either utilized directly as sources of energy or are converted to carbohydrate or fat.

What is the y-intercept of the line that has a slope of `-4` and passes through the point (4, -6)`?

Answers

Answer:

(0, 10)

Step-by-step explanation:

Answer:

y = -4x + 10

Step-by-step explanation:

y = -4x + b

-6 = -4(4) + b

-6 = -16 + b

10 = b

raphael made 2 pies and gave half of one pie to his grandmother. he wants to share the remaining pie with his neighbors so he cuts them into pieces that are each 3/8 of a pie. How many neighbors can have a slice of pie?

Answers

He made 2, gave half to his gm.
Left-one and a half
Convert one and a half to improper fraction-> 3/2
No. of neighbour’s that can have pie= 3/2 divided by 3/8
= 4
And: 4 neighbours can have a slick of pie each
Have a good day

find the area of the semi circle plss

Answers

the answer is 39.25

Answer:

Step-by-step explanation:

Vectors u and v are perpendicular. ||u|| = 5√2 units, and ||v|| = 6√2 units. ||u + v|| ≈ ? units
A. 11.04
B. 11.05
C. 15.55
D. 15.56

Answers

Answer:

15.56

Step-by-step explanation:

Given the vectors ||u|| = 5√2 units, and ||v|| = 6√2 units.

||u + v|| ≈  5√2 +  6√2

||u + v|| ≈  (5+6)√2

Since √2≈ 1.4142

||u + v|| ≈   11(1.4142)

||u + v|| ≈  15.56

Hence the correct option is D

Answer: 11.05

Step-by-step explanation: got it right

State if the scenario involves a permutation or a combination. Then find the number of possibilities.

The batting order for nine players on a 12 person team.

Permutation/Combination:


Answer:

Answers

Step-by-step explanation:

combination

is answer of this question

you buy butter at 3 dollars a pound one portion requires 2oz of butter how much for one portion

Answers

Answer:

0.375 dollars

Step-by-step explanation:

1 pound = 16 oz

1 oz = 1/16 pound

2 oz = 2/16

2/16 * 3 = 0.375

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) F(x) = sin(x/2) , [π/2,3π/2]

Answers

Answer:

The numbers 3(pi)/2, 5(pi)/2 satisfy the conclusion of Rolle's Theorem

Step-by-step explanation:

1. The function must be continuous.  

Trigonometric functions are continuous.  

2.  It must be true that f(a) = f(b) = 0

For this case sin(pi) = sin(3pi) = 0

3. Therefore by Rolle's Theorem, there exist a point, x, such that f(x) = 0

For this case f(x) = cos(x)

And cos(x) = 0 at x = 3(pi)/2,5(pi)/2

2.
Translate the following word phrase into an algebraic expression: six times four less than three
times x

Answers

Answer:

6 × ( 3x - 4)

Step-by-step explanation:

Not much to explain.

Hope this helps!

If there is something wrong, please let me know

You can afford to invest $150 per month in an annuity that earns 4% per year, compounded monthly. How long will it take before your investment is worth $6000?

Answers

Answer:

how long will it take before your investment is wort$6000?

HELPinjjgk go hhjkkggb jjj

Answers

Answer:

what i dont understand

Step-by-step explanation:

Find the missing side round your answer to the nearest tenth

Answers

Answer: 15

Step-by-step explanation:

Three numbers are in the ratio of 1:2:4. If 3 is added to the first and 8 is subtracted from the third, the new numbers will be the first and third terms of an A.P., whose second term is the second number. Find the original numbers.​

Answers

9514 1404 393

Answer:

  5, 10, 20

Step-by-step explanation:

Suppose the three numbers are x, 2x, and 4x. Then they have the required ratios. After the transformation, we have ...

  ((x+3) +(4x -8))/2 = 2x . . . . . 2nd term is average of 1st and 3rd

  5x -5 = 4x   ⇒   x = 5

The original numbers are 5, 10, 20.

_____

After the adjustment, the arithmetic sequence is 8, 10, 12.

Matt invests £1800 for 2 years at a simple interest rate of 10%.

How much money will he get back in interest?

Answers

Answer:

Step-by-step explanation:

P = 1800

R = 10%

T = 2 years

I = PRT

= 1800 * 10/100 * 2

= 1800 * 0.1 * 2

I = £360

The amount that will be gotten back as interest will be £360

Principal =  £1800

Rate = 10%

Time = 2 years

Simple Interest will be calculated as:

= (P × R × T) / 100

= (£1800 × 10 × 2)/100

= £36000/100

= £360

Therefore, the interest is £360.

Read related link on:

https://brainly.com/question/24355322

can jack built 1/5 of a shed in the same time that kyle can build 5/8 of shed,
how much of a shed will jack have built when kyle finished building 1 shed?

Answers

Answer: 3/10 of a shed

=============================================================

Explanation:

Let's say the shed comes in 40 equal pieces. Each piece takes the same amount of time to assemble. Why am I picking 40? Because 8*5 = 40.

This will allow us to rewrite the fractions with a common denominator.

1/5 = 8/40 .... multiply top and bottom by 85/8 = 25/40 .... multiply top and bottom by 5

So Jack can build 8/40 of the shed in the same amount of time Kyle can build 25/40 of the shed.

Instead of writing fractions (which honestly are a pain to deal with), I'm going to write "8 pieces" and "25 pieces" to represent "8/40" and "25/40" respectively. Just keep in mind that there are 40 pieces total.

So again, Jack can assemble 8 pieces in the time it takes Kyle to assemble 25 pieces.

---------------

The ultimate goal is to have Kyle assemble 40 pieces while Jack puts together some unknown number of pieces (some number between 8 and 40). Let's say it's x.

We can then form this proportion

[tex]\frac{\text{Jack's initial 8 pieces}}{\text{x pieces}}=\frac{\text{Kyle's initial 25 pieces}}{\text{goal of 40 pieces}}[/tex]

which simplifies or cleans up to

5/x = 25/40

-----------------

Let's solve for x using cross multiplication

8/x = 25/40

8*40 = x*25

320 = 25x

25x = 320

x = 320/25

x = 12.8

So in the time it takes Kyle to assemble all 40 pieces, Jack can put together 12.8 pieces of the shed. However, we can't have Jack put together some fractional piece, because each "piece" is as small as it gets. We can't get any smaller. It would be like saying a fractional part of an atom or a lego block.

So we'll round 12.8 down to 12.

Jack can assemble 12 pieces in the time it takes Kyle to assemble 40 pieces.

Let's then convert this back to fraction form

12 pieces = 12/40 of a shed = 3/10 of a shed.

Solve the equation below:

5x – 11 = 19
x = 4
x = 6
x = 4.4
x = 1.6


pls answer i need help today

Answers

Answer:

x=6

Step-by-step explanation:

5x - 11 = 19

5x = 30

x = 6

20characters

5x = 19+11 5x = 30 x = 30/5 x = 6

If the price of a stapler increase from Rs 50 to Rs 54, find the percentage increase?

Answers

Hope this helps have a nice day
We can use proportions to solve this. We need to subtract 54 from 50. This gives us 4. Therefore, our fraction can be 4/50. Then, our next fraction is x/100. We can cross multiply 4*100 is 400. 400/50 is 8. The percentage increase is 8.

What is the length of the line?
WILL GIVE BRAINLIEST!!

Answers

Answer:

18

Step-by-step explanation:

6^2 plus 3^2 = 324, square root 324 =18

Answer:

[tex]\sqrt{45}[/tex]

Step-by-step explanation:

The line represents the hypotenuse of a right triangle with legs 6 and 3. For any right triangle, the Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.

Therefore, we have:

[tex]6^2+3^2=c^2,\\c^2=36+9,\\c=\boxed{\sqrt{45}}[/tex]

A postmix beverage machine is adjusted to release a certain amount of syrup into a chamber where it is mixed with carbonated water. A random sample of 25 beverages was found to have a mean syrup content of fluid ounces and the sample standard deviation is fluid ounces. Find a 95% two-sided confidence interval on the mean volume of syrup dispensed. Assume population is approximately normally distributed. Round your answers to 3 decimal places.

Answers

Answer:

(1.1155 ; 1.1245)

Step-by-step explanation:

Given that :

Sample mean, xbar = 1.12

Sample standard deviation, s = 0.011

Sample size, n = 25

Since we are using the sample standard deviation, we use the T distribution ;

The confidence interval is defined as :

C. I = Xbar ± Tcritical * s/√(n)

Degree of freedom, df = n - 1 = 24

Tcritical(0.05, 24) = 2.064

C. I = 1.12 ± (2.064 * 0.011 / √25)

C.I = 1.12 ± 0.0045408

Lower boundary = (1.12 - 0.0045408) = 1.1155

Upper boundary = (1.12 + 0.0045408) = 1.1245

(1.1155 ; 1.1245)

What is the discriminat of 2x+5x^=1

Answers

Answer:

don't know...........

It's 24 hope that's helps u out

compute (-12)+(-8)+30​

Answers

Answer:

10

Step-by-step explanation:

(-12) + (-8) +30

-(12+8)+30

-20 + 30

10

t 0 2 4 6 8 10
P(t) 0 36 43 47 52 60
Kunyu's family has an above ground swimming pool in the shape of a cylinder, with a radius of 10 feet and a height of 5 feet. The pool contains 1000 cubic feet of water at time t=0. During the time interval 0≤t≤10 hours, water is pumped into the pool at the rate () cubic feet per hour. The table above gives values of () for selected values of . During the same time interval, water is leaking from the pool at the rate of () cubic feet per hour, where ()=18−0.04.

(Note: The volume V of a cylinder with radius r and height h is given by =2ℎ .)

Find the rate at which the volume of water in the pool is increasing at time t=6 hours. How fast is the water level in the pool rising at t=6 hours? Indicate units of measure in both answers.

Answers

Answer:

a. 24.12 ft³/hr b. 0.0768 ft/hr

Step-by-step explanation:

a. Find the rate at which the volume of water in the pool is increasing at time t=6 hours.

The net rate of change of volume of the cylinder dV/dt = volume flow rate in - volume flow rate out

Since volume flow rate in = P(t) and volume flow rate out = R(t),

dV/dt = P(t) - R(t)

[tex]\frac{dV}{dt} = P(t) - 18e^{0.04t}[/tex]

We need to find the rate of change of volume when t = 6.

From the table when t = 6, P(6) = 47 ft³/hr

Also, substituting t = 6 into R(t), we have R(6)

[tex]\frac{dV}{dt} = P(t) - 18e^{0.04t}[/tex]

[tex]\frac{dV}{dt} = 47 - 18e^{0.04X6}\\\frac{dV}{dt} = 47 - 18e^{0.24}\\\frac{dV}{dt} = 47 - 18 X 1.27125\\\frac{dV}{dt} = 47 - 22.882\\\frac{dV}{dt} = 24.118 ft^{3}/hr[/tex]

dV/dt ≅ 24.12 ft³/hr

So, the rate at which the water level in the pool is increasing at t = 6 hours is 24.12 ft³/hr

b. How fast is the water level in the pool rising at t=6 hours?

Since the a rate at which the water level is rising is dV/dt and the volume of the cylinder is V = πr²h where r = radius of cylinder = 10 ft and h = height of cylinder = 5 feet

dV/dt = d(πr²h)/dt = πr²dh/dt since the radius is constant and dh/dt is the rate at which the water level is rising.

So, dV/dt = πr²dh/dt

dh/dt = dV/dt ÷ πr²

Since dV/dt = 24.12 ft³/hr and r = 10 ft,

Substituting the values of the variables into the equation, we have that

dh/dt = dV/dt ÷ πr²

dh/dt = 24.12 ft³/hr ÷ π(10 ft)²

dh/dt = 24.12 ft³/hr ÷ 100π ft²

dh/dt = 0.2412 ft³/hr ÷ π ft²

dh/dt = 0.2412 ft³/hr

dh/dt = 0.0768 ft/hr

So, the arate at which the water level is rising at t = 6 hours is 0.0768 ft/hr


There are 11 green marbles and 12 orange marbles in a bag. You randomly
choose one of the marbles. What is the probability of choosing a green marble?

Answers

Green marbles=11Orange marbles =12Total marbles:-

[tex]\\ \Large\sf\longmapsto 11+12[/tex]

[tex]\\ \Large\sf\longmapsto 23[/tex]

[tex]\boxed{\Large{\sf P(G)=\dfrac{No\:of\:green\:marbles}{Total\:marbles}}}[/tex]

[tex]\\ \Large\sf\longmapsto P(G)=\dfrac{11}{23}[/tex]

Answer:

11/23

Step-by-step explanation:

11 green marbles and 12 orange marbles = 23 marbles

P(green) = green marbles / total marbles

               = 11/23

:
The width of a rectangle is 5 cm more than triple its length. The perimeter of the
rectangle is 240 cm. What is the length and width of the rectangle?

Answers

9514 1404 393

Answer:

length: 28.75 cmwidth: 91.25 cm

Step-by-step explanation:

Let L represent the length of the rectangle. Then the width is W=5+3L, and the perimeter is ...

  P = 2(L+W)

  240 = 2(L +(5 +3L))

  120 = 5 +4L

  115 = 4L

  115/4 = L = 28.75 . . . . cm

  W = 5+3L = 5 +3(28.75) = 91.25 . . . . cm

The length and width of the rectangle are 28.75 cm and 91.25 cm.

Other Questions
Which of the following is NOT satirical? What is 4 12 cm in millimetres Sydney finished all his work on time, but many of his teammates still struggled to complete their assignments. What should he do? a) Not to be distracted. They may lag further. q) listen to them complain about their workload c) help them complete their work d) share their thoughts on how to get their work done faster changes in social hierarchy during the neolithic revolution and industrial revolution PLS HELP OR TELL ME WHAT TO SAY FOR EACH SLIDE ASAP I BEGCreate a g00gle slideshow with this information. You have learned about multiple historical, cultural and literary influences in early 20th century America. You have also read several poems which are representative of early 20th century American literature.Now you will take this information to create a presentation showcasing both of your chosen poems. You should have at least one image for each poem along with text explaining the ways in which the literary works were influenced by the events of the 20th century.Choose two poems and create a presentation explaining the ways in which the literary works were influenced by the events of this time period."Rhapsody on a Windy Night" by T.S. Eliot"Mending Wall" by Robert Frost"Stopping by Woods on a Snowy Evening" by Robert Frost"The River Merchant's Wife: A Letter" by Ezra Pound"The Red Wheelbarrow" by William Carlos Williams"Languages" by Carl Sandburg"Fog" by Carl Sandburg Qu valor de m crear un sistema de lneas paralelas sin solucin? y = mx - 6 8 x - 4 y = 12 Una cuadrcula de coordenadas con una lnea etiquetada como 8 x menos 4 y es igual a 12. La lnea pasa por un punto en (0, menos 3), (1, menos 1) y un punto en (1,5, 0). - 2 - 2 A group of progressives that worked to correct problems in American life were calledA. OwnersB:pessimistsC. MuckrakersD. Government This that people on each other for goods and. . em xin cu tr li in a survey of Swami student it was found that 60% of student studies in math and 40% study science if 40% students study both the subject and 10% did not any of the subject by drawing of exam find the ratio of the number of students who is the distance to the total number of students The present progressive tense is used to express action as it is taking place.TrueFalse Given m|n, find the value of x.(6x+9)(4x-19)Answer:Submit Answerattempt i out of 2I NEED HELP PLS Help please, I need with the question Which of the following statements best describes Arthur? He protested, in a loud voice . . . and demanded to be released. He was a small, genteel man, erect and prompt. He was a tall, well-built man, about twenty-four years old. He rarely ever forgot a name once heard. What did Jefferson describe as the "handmaid" of the American economy? Five kg of carbon dioxide (CO2) gas undergoes a process in a well-insulated piston-cylinder assembly from 2 bar, 280 K to 20 bar, 520 K. If the carbon dioxide behaves as an ideal gas, determine the amount of entropy produced, in kJ/K. HELP ME, ASAP, PLEASE.Which passage from a memoir uses precise language?A. I sighed and pushed the doorbell. I heard the chime, and a dog started barking.B. I let out a nervous breath, and I used one finger to press the doorbell. I heard the familiar ding-dong, and a dog began barking in a high-pitched manner.C. I exhaled, shuddering, and with a single finger pressed the doorbell. I heard the sing-songy ding-dong, and a dog immediately began yapping.D. I let a nervous and shaking breath out of my lungs, and with one pointer finger, pressed the doorbell with the light in it. I heard the two notes of the ding-dong, and a dog began to bark very fast, loudly, and in a high-pitched manner. Tina's book bag contains 12 fiction books and 4 non-fiction books. What percentage of thebooks is non-fiction?Help! Homework due at 6:30 help ASAP! Thank you! which of these would not be included in the index? A. main headings B. page numbers C. definitions D. subheadings Read the excerpt from "The Gift of the Magi" by O. Henry.Only $1.87 to buy a present for Jim. Her Jim. Many a happy hour she had spent planning for something nice for him. Something fine and rare and sterlingsomething just a little bit near to being worthy of the honor of being owned by Jim.What inferences about Della can be made based on this excerpt? Select three options.Della does not have much money to spend on Jims gift.Della wants to buy Jim a watch chain for his watch.Della loves her husband, Jim, very much.Della wants to buy Jim a really nice gift.Della will need to sell her hair to buy Jim a nice gift. A 12-month insurance policy was purchased on Dec. 1 for $4,800 and the Prepaid insurance account was initially increased for the payment. The required adjusting journal entry on December 31 includes a: (Check all that apply.)