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

ILL MARK U BRAINLIEST!!

Answers

Answer:

a. S

b. M

c. S

d. M

Write each percent as a decimal and as a mixed number or fraction in the simplest form.

0.35%

Answers

Answer:

0.0035 in decimal form

7/2000 in fraction form

Step-by-step explanation:

math .way helps a lot with problems like this

Answer:

0.0035 in decimal form

7/2000 in fraction form

Step-by-step explanation:

math .way helps a lot with problems like this

Step-by-step explanation:

Which of the following equations is equivalent to 1.43p + 2.2 = -4.001?
A. 143p + 22 = -4001
B. 143p + 220 = -4001
C. 1430p + 2200 = -4001
D. 143p + 220 = -4001

Answers

D 1430 +2200=-4001 this is ur answe

We can say that equation (C) [1430p + 2200 = -4001] is equivalent to the given equation [1.43p + 2.2 = -4.001].

What do we mean by equations?The equal sign joins two expressions to create a mathematical formula called an equation. An equation is a claim that demonstrates the equality of two mathematical expressions, according to algebra. For instance, the equation 3x + 5 = 14 is made up of the two equations 3x + 5 and 14, which are separated by the equal sign.

So, the equivalent expression is:

Equation is: 1.43p + 2.2 = -4.001

Let us take the number with the most numbers after decimals, that is -4.001.

Now, if we -4.001 × 1000, then we obtain:

-4.001 × 1000 = -4001

This means we will multiply all terms with 1000 as follows:

1000(1.43p + 2.2 = -4.001)1430p + 2200 = -4001

Therefore, we can say that equation (C) [1430p + 2200 = -4001] is equivalent to the given equation [1.43p + 2.2 = -4.001].

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a local food company produces yogurt in 3/4 tab cups 2 cups= 1 pint 2 pints= 1 quart 4 quarts= 1 gallon 8 fl oz= 1 cup The tubs of yogurt are sold for 75¢ each. Twenty percent of this is profit for the food company. How much profit does the company make on each tub? Enter the answer in decimal form.

Answers

Answer:

15cents.

Step-by-step explanation:

The cost of yogurt is $0.75

20% of this amount is the profit to the company

Profit = [tex]\frac{20}{100} * 0.75[/tex]

          = $0.15

So the profit to the company is 15cents.

Use the table to find the residual points. A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries negative 0.7, 2.3, 4.1, 7.2, 8. The third column is labeled predicted value with entries negative 0.28, 1.95, 4.18, 6.41, 8.64. The fourth column is labeled residual value with all entries blank. Which residual plot is the correct one for the data? A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph. A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph. A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph. A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.

Answers

Answer:

B

Step-by-step explanation:

residual is the given - predicted

residual 1: -0.42

residual 2: 0.35

so on and so forth

B matches up with the first two coordinates

The residuals are 0.42, 0.35, -0.08, 0.79, and -0.65 because residuals are the difference between the actual and predicted.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

The residual = actual—predicted

We have given:

X         Given     Predicted     Residual value

1            0.7           0.28             0.42

2           2.3           1.95              0.35

3            4.1            4.18             -0.08

4           7.2           6.41              0.79

5            8             8.65            -0.65

Thus, the residuals are 0.42, 0.35, -0.08, 0.79, and -0.65 because residuals are the difference between the actual and predicted.

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Find the value of x (Round to the nearest tenth)

Answers

root of 481 but that’s only if the base is split into two equal segments that are both 9

Yesterday, the temperature at noon was 11.4°F. By midnight, the temperature had decreased by 15.7 degrees. What was the temperature at midnight? *

Answers

Answer:

-4.3ºF

Step-by-step explanation:

Since the temperature decreased, you subract 15.7ºF.

11.4ºF-15.7ºF=-4.3ºF

Answer:

The temperature at midnight was:

-4.3°F

Step-by-step explanation:

11.4 - 15.7 = -4.3

what is 2+6
alia akkes

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

6+2

NEED HELP ASAP PLEASE

Answers

Answer:

The image points are given as;

I' ( -3,0 )

J'( 0,3 )

K'( 2,2)

L'(1,-1 )

Step-by-step explanation:

The object points has coordinates at;

I (5,0)

J(2,3)

K(0,2)

L(1,-1 )

The object points are reflected across line x= 1 to get image of objects points at ;

I' ( -3,0 )

J'( 0,3 )

K'( 2,2)

L'(1,-1 )

Attached is the graph for the object points and image points after reflection across x= 1

The speed limit on a rural road in Europe is 90 km / hr . Yvonne is driving 35 miles How long will it take her if she drives at the speed limit ? How long will it take Yvonne to drive 35 miles if she drives at the speed limit ?

Answers

63 dnjdjdjdjdjdjdhdhhdhdhehusushshsbsbdddu

Please help also please explain

Answers

Step-by-step explanation:

By AA, the two triangles in the figure are similar.

therefore, 10/15 = x/18

180 = 15x

x = 12

Topic: congruence and similarity

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Students in the Scott School District spent two weeks collecting a total of 5,853 books to donate to local hospitals. The first week, the students collected 2,054 books. About how many books did the students collect for the hospitals the second week? Choose the better estimate.

Answers

Answer:

3799 books

Step-by-step explanation:

We have the total number of books collected as 5,853 books

In the first week, a total of 2,054 books were collected.

If the collection of books went on for two weeks;

Hence in the second week, a total of (5,853 - 2,054) were collected.

Therefore, number of books collected in the second week = 3799 books

16+x/13=18 What Is the Steps

Answers

Answer:

x=26

Step-by-step explanation:

Simplify both sides of the equation.

16+

x

13

=18

16+

1

13

x=18

1

13

x+16=18

Step 2: Subtract 16 from both sides.

1

13

x+16−16=18−16

1

13

x=2

Step 3: Multiply both sides by 13.

13*(

1

13

x)=(13)*(2)

x=26

2. What is the arithmetic mean between 35 and 105?

Answers

Answer:

to get the arithmetic means between 35 and 105 you must add the two and divide it by 2 so 35 + 105 equals to 140 then you divide it by 2 to get 70

Is 4 a solution to the compound inequality “x > 0 ​AND​ x < 7”

Answers

Answer:

Yes

Step-by-step explanation:

4 is greater than 0, and 4 is less than 7

Answer:

yes

Step-by-step explanation:

x is greater than 0 and also less than 7 in this case.

(hi again furydrill! i just answered one of your questions a minute ago!)

Consider 8x2 - 48x = -104.

Answers

Answer:

2.5

Step-by-step explanation:

plz mark brainliest

Answer:

a=1: x2 + -6      x=-13

Step-by-step explanation:

Complete the square:

x2 – 6x + 9  =–13 + 9

Factor the trinomial and simplify:

(x + -3 )²= -4

Use the square root property of equality to solve

(x  – 3)2 = –4.

The solutions are

3 ± 2i

Which of the following is a quadratic function?

Answers

A quadratic function is written as ax^2 + bx + c

Where the first term is raised to the 2nd power and the second term includes the x variable.

The answer would be number 2

please help a polynomial of degree 4 has 3-2i and 1+i as zeros. Are there any x-intercepts? Explain why?​

Answers

Answer:

Answer:I can't read or see it

Step-by-step eAnswer:I can't read or see itxplanation:

URGENT BRAINLIEST DUE IN 5 MINUTES PART 1 Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office, her brother's height is 4 feet, 2 inches.

Which measurement should be considered the actual height?

Answers

Answer:

4 feet and 2 inches

Step-by-step explanation:

The height that was measured by the doctor should be considered the actual height because it is the most accurate. It is an actual measurement and not an estimate.

If someone can answer this they are a genius! You will receive 20 points and please don't answer it if you don't know it. Thank you very much, good luck!

Answers

Answer:

step by step its adds to 3

Step-by-step explanation:

What’s is twenty one minus eight

Answers

Answer:

13 dude

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

17y-5x+8=9 in standard form?

Answers

Answer:

-5X + 17Y -1 A = -5X B = 17Y. C = -1

Step-by-step explanation:

follow me say a thanks mark me branliest

The equation of a line 17y - 5x + 8 = 9  in standard form

is - 5x + 17y - 1 = 0.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, 17y - 5x + 8 = 9 we have to convert in standard form Ax + By + c = 0.

∴  17y - 5x + 8 = 9.

- 5x + 17y - 1 = 0.

So, A = - 5, B = 17 and, c = - 1.

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Solve for x, 17/4x-1/12=6x

Answers

Answer:

x= −1/21

Step-by-step explanation:

Find h(3)
please help me

Answers

Answer:

h(3) = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 2

g(x) = -x² + 2x

h(x) = |5x - 17|

h(3) is x = 3 for h(x)

Step 2: Evaluate

Substitute:                     h(3) = |5(3) - 17|Multiply:                         h(3) = |15 - 17|Subtract:                        h(3) = |-2|Evaluate:                        h(3) = 2

The constants a, b, and c are positive. Solve the inequality for x.

ax-b is less than c

Answers

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[tex]ax - b < c[/tex]

Add sides b

[tex]ax - b + b < c + b[/tex]

Simplification

[tex]ax < b + c[/tex]

Divide sides by a

[tex] \frac{a}{a} x < \frac{b + c}{a} \\ [/tex]

[tex]x < \frac{b + c}{a} \\ [/tex]

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Which statement about -10.5°C and -6°C is true?

0 -10.5°C< -6°C can be used to express the fact that -10.5°C is colder than -6°C.

0 -10.5°C -6°C can be used to express the fact that -10.5°C is warmer than -6°C.

0-10.5°C > -6°C can be used to express the fact that -10.5°C is colder than -6°C.

O -10.5°C > -6°C can be used to express the fact that -10.5°C is warmer than -6°C.

Answers

Answer:

In my view 1st answer is correct..

Relflect the shape in the mirror line

Answers

Answer:

its hard to do this without a graph to draw on for you but see explanation

Step-by-step explanation:

from each point count how many units it is from the mirror line and then count that many in the opposite direction. for example, the top left point is 3 away from the mirror line from the left so count 3 units to the right of the mirror line and that is where that point will be.


Find the value of k, if y=3.
2y+k=6

Answers

Answer:

k=1

If y=3

2(3)+k=6

5+k=6

-5     -5

k=6-5

k=1

Now to check

2(3)+1=6

5+1=6

6=6

6=6 is a correct statement! which means k=1.

Have a beautiful day! v(⌒o⌒)v♪

Which inequality represents the range of the relation graphed below?

Answers

Answer: I think it’s d

Step-by-step explanation:

Solve for g: C = 1/2gk

Answers

Answer:

G = [tex]\frac{C(2)}{k}[/tex]

Step-by-step explanation:

C = 1/2gk

First you want to multiple both sides by 2 to get rid of that fraction and you get

C (2) = gk then you divide both sides by k to isolate the g and your left with

G= [tex]\frac{C(2)}{k}[/tex]

Hope this helps

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