If hot and cold water taps are turned on altogether, a bath is filled in three minutes but if the cold tap was only half opened it would take one minute forty eight seconds longer. How long would the hot tap alone take to fill the bath?

Answers

Answer 1

9514 1404 393

Answer:

  12 minutes

Step-by-step explanation:

Let c and h represent the filling times for the cold and hot taps, respectively. When the cold tap is 1/2 open, we presume that means the filling time becomes 2c.

In terms of baths per minute, the relationships are ...

  1/c + 1/h = 1/3

  1/(2c) +1/h = 1/(3 +1.8) . . . . . 1:48 min:sec is 1.8 minutes

Subtracting the first equation from twice the second, we get ...

  2(1/(2c) +1/h) -(1/c +1/h) = 2(1/4.8) -(1/3)

  1/h = 2/4.8 -1/3 = 1/12

  h = 12

It takes the hot tap 12 minutes to fill the tub alone.


Related Questions

Graph the function in your notebook. Determine whether the function is linear or nonlinear.

Answers

Answer:

It is linear because if all x values are different, it makes it linear.

Can you help me with this?

Answers

Not too sure, but I think X = 39

An ice chest contains 7 cans of apple​ juice, 6 cans of grape​ juice, 6 cans of orange​ juice, and 4 cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of mango juice.

Answers

Answer:

4/1771

Step-by-step explanation:

Step one:

given

sample space

7 cans of apple​ juice,

6 cans of grape​ juice,

6 cans of orange​ juice, and

4 cans of mango juice

Sample size= (7+6+6+4)

                       = 23

Step two:

Required

The probability of randomly selecting three cans of mango juice in succession

Note: we are selecting without replacement

let the probability of selecting three cans of mango juice be

the first selection is= 4/23

The second = 3/22

the third= 2/21

[tex]P(x)= 4/23*3/22*2/21[/tex]

[tex]P(x)= \frac{4*3*2}{23*22*21} \\\\P(x)= \frac{4}{23*11*7}\\\\P(x)= \frac{4}{1771}[/tex]

the following two triangles are congruent. Select the correct statement for the correct corresponding part that must be congruent.

Answers

Answer:

You are correct.

Step-by-step explanation:

y and j are the vertexes. Given that M and S are the corresponding parts of the 2 triangles, I would say you picked the right answer. But the question is ambiguous and there might be some hidden meaning why this is wrong. The reason might not stand up in a court of law, but instructors do hold the gun at your head.

Curse at it and move on.

A triangle with the side lengths of 8, 15, 17.5 form a right triangle:

A. True
B. False
C. Sometimes
D. None of the above​

I would appreciate the help.

Answers

It's true, just draw the sides and you'll see there's no other angle you could get.

4.89 is this a rational or a irrational

Answers

Answer:

Rational because it isn't a repeating decimal

Step-by-step explanation:

Please help lol can't figure it out help

Answers

Answer: A- 3 3/10 feet

Step-by-step explanation:

Multiply 5 and 1/2 by 3/5 to get 3 and 3/10 feet. I prefer decimals so you could use 5.5 x 0.6 and get 3.3. It's the same thing but if it's in fractions you should multiply by using fractions.

What is x=7 in slope intercept form
Please help

Answers

Answer: x=7 or undefined

Step-by-step explanation:

We can't write x=7 in slope intercept form, since it doesn't have an actual slope or y-intercept. You could put undefined, since the slope is undefined.

To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each hour of labor.

Find the slope of the line, What is the meaning of the slope in this context?

Answers

The slope is 50 because they charge $50 for each hour of labor. The slope represents how long they have worked for and what it costs. Also the y intercept is 500, so the equation is y=50x+500

the liu family buys 20 pounds of chicken at the local market for 50 dollars which equation can be used to represent the coast c of buying x pounds of chicken at the same price per pound

A) C=20x
B) c=0.4x
C. C=2.5x
d) c=50x​

Answers

Answer:

b

Step-by-step explanation:

Three of the four points below are on the graph of a proportional relationship between the variables x and y. Which point is NOT on the graph(0,0)
(1,5)
(2,6)
(3,15)?

Answers

Answer:

I think 2,6

Step-by-step explanation: X5

If someone does every answer I’ll give brainliest show work too

Answers

68% is 0.68 and 17/25

3/8 is 0.375 and 37.5%

0.875 is 87.5% and 7/8

alyssa got 40% right



4m+t is -18

t/mr is 1/6 or 0.16 repeating

3m-5t is -2

mt/r is -2

if you know this please help

Answers

Answer:

its c hope this helps:)

Step-by-step explanation:

Can someone help me with this question

Answers

Answer:

It’s c my fren its 40 because you are doing the math as in adding and multiplying..... I tried to help lol tell me if I’m wrong.

Step-by-step explanation:

Which of the following expressions is equivalent to 3m(m - 2) - (m^2 + 1)
A. 2m^2 - 1
B. 4m^2 - 1
C. 4m^2 - 6m + 1
D. 2m^2 - 6m - 1

Answers

I think the answer must be b

89 x 89, whats the answer?

Answers

Answer:

7921 is the correct answer

Answer:

7,291

Step-by-step explanation:

Just multiply. 89 x 89

               

                     

What is the volume of the geometric solid produced by the triangle below
when it is rotated 360 degrees about the vertical axis YZ? *

Answers

Answer:

The volume of the geometric solid produced is 391 cubic cm ⇒ A

Step-by-step explanation:

When a right triangle is rotated about its vertical leg 360°, then it formed a cone its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle.

The rule of the volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where

r is the radius of its baseh is the length of its height

∵ Triangle XYZ is rotated 360° about the vertical side YZ

∴ It formed a cone with a radius = XZ and a height = YZ

∵ [tex]\frac{YZ}{XZ}=tan(60)[/tex]

∵ YX = 6√3

∴ [tex]\frac{6\sqrt{3}}{XZ}=tan(60)[/tex]

∵ tan(60) = √3

∴ [tex]\frac{6\sqrt{3}}{XZ}[/tex] = √3

→ By using cross multiplication

∴ 6√3 = XZ(√3)

→ Divide both sides by √3

6 = XZ

XZ = r and YZ = h

∴ r = 6 and h = 6√3

→ By using the rule of the cone above

∵ V = [tex]\frac{1}{3}[/tex] (π) (6)² (6√3)

V ≅ 391 cm³

The volume of the geometric solid produced is 391 cubic cm

2x-Y (5y X -6) 3^6y what is that as an expression

Answers

Answer:

The answer is:

2x + 30y^2 × 729^y

determine the true statements about trend lines in scatterplot. Check all that apply

Answers

Answer:

what

Step-by-step explanation:

theres no answers?

Answer:

(A) A trend line can be used to make predictions in real-world situations.

(B) A scatterplot that shows no correlation between the variables does not have a trend line.

(D) A regression line and trend line are equivalent terms.

Step-by-step explanation:

Identify the function shown in this graph ​

Answers

Answer:

i think its d

Step-by-step explanation:

not copying i think

Answer:

C - y = 3x - 2

Step-by-step explanation:

I took the test. Hope this helps! :)

The image point of A after a translation right 1 unit and down 2 units is the point B (9,3). Determine the coordinates of the pre-image point A.

Answers

Alright, it went 1 to the right and down 2 times.

So for point B, you calculate the opposite.

Point B goes 1 left while going up by 2.

(9 - 1, 3 + 2) = (8, 5)

Pre-image point A is (8, 5)

The preimage of point A before a translation right 1 unit and down 2 units

is (8, 5).

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, The image point of A after a translation right 1 unit and down 2 units is point B (9, 3) so we go exact opposite 1 unit left and 2 units up which is

(- 1, 2).

∴ The pre-image point A is (8, 5).

learn more about translations here :

https://brainly.com/question/12463306

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solve 3(x-4) = 12x. circle your final solution

Answers

Answer:

9x-12

Step-by-step explanation:

3*x = 3x

3*-4= -12

3x - 12 = 12x

12x-3x = 9x

9x-12

Answer:  x = -4/3

Step-by-step explanation:

3(x−4)=12x

Step 1: Simplify both sides of the equation.

3(x−4)=12x

(3)(x)+(3)(−4)=12x  (Distribute)

3x+−12=12x

3x−12=12x

Step 2: Subtract 12x from both sides.

3x−12−12x=12x−12x

−9x−12=0

Step 3: Add 12 to both sides.

−9x−12+12=0+12

−9x=12

Step 4: Divide both sides by -9.

-9x/-9 = 12/-9

x = -4/3

help!!! please & explain if can:(

Answers

Answer:

x = 15

Step-by-step explanation:

AEB is a right angle, a right angle is 90 degrees

this means 5x+15 needs to equal 90

plug in 15 for x

5 x 15 + 15 = 90

Sally and her mom were making cookies to hand out to her neighbors for the holidays. Their first batch made 26 cookies, their second batch yielded 38 cookies, on the third batch the make 45 cookies, and for the last batch they were able to make 25 cookies. What is the mean?

Answers

Answer:

The mean number of cookies was 33.5

Step-by-step explanation:

Add the values of the terms and divide by the number of terms.

So...

26 + 38 + 45 + 25 = 134

134 ÷ 4 = 33.5

The absolute value of opposite numbers is the same?

True or False?

Why or Why not

Answers

Answer:

false, it's the opposite so its doesn't have the same amount, negative or positive.

True.

The absolute value of opposite numbers is the same as the number because the absolute value is always positive.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

The opposite of x is -x.

Now,

The absolute value of -x.

= |-x|

= x

We are getting the number back.

Thus,

The absolute value of opposite numbers is the same as the number.

Learn more about expressions here:

https://brainly.com/question/3118662

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What is the slope of the line that goes through the points (-1,4) and (14,-2)?

Answers

Answer:

hi! so we have 2 points right? you will need to use something called the slope formula  y2-y1/x2-x1 we're subtracting our y values of both points and x values of both points while dividing them this gives us a slope of a line

now I want you to label before you do this in your head! it can get confusing to think about it so label label (x1-1,y1 4) (x2 14,y2 -2) now you have them labeled this parts easy! use the formula -2-4/14--1 okay now use your calculator you get -2/5 and now you have your m or slope!

memorize y2-y1/x2-x1  now! it will save you!

Step-by-step explanation:

Answer:

-2/5 is the answer

4s - 13 = 51 SHOW ALL WORK

Answers

Answer:

you have to get rid of the numbers and then get rid of the letters until only s is left

Step-by-step explanation:

4s - 13= 51

51+13= 64

4s= 64

64÷4 = 16

s= 16

Hi can you guys help me please?!

Answers

Answer:

7B, 8C, 9D, 10A

Step-by-step explanation:

makayla is reading a 400 page book for her book club.she reads 32 pages each hour

Answers

Answer:

12.5 hours

Step-by-step explanation:

[tex]\frac{400}{32}[/tex] = 12.5

Answer:

12 hours and 30 minutes

Step-by-step explanation:

400/32 = 12.5

Write the number of points of intersection of each pair of coplanar lines.
PLEASE HELP!!!

Answers

Answer:

A. Parallel Lines  (Zero)

B. Intersecting Lines (One)

C. Coincident Lines (Infinitely Many)

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