Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the tub. If it takes the cold water faucet 12 minutes to fill the tub by itself, how long will it take the hot water faucet to fill the tub on its own

Answers

Answer 1

When both facets are turned on, they fill 1%2F4 of the bathtub volume per minute.

When only cold facet is turned on, it fills 1%2F12 of the bathtub volume per minute.

It means that the contribution of the hot facet is the difference 1%2F4 - 1%2F12 = 3%2F12 - 1%2F12 = 2%2F12 = 1%2F6 of the bathtub volume per minute.

Therefore, it will take 6 minutes for the hot facet to fill the bathtub working alone.


Related Questions

Janice jogged 2.35 miles yesterday and 2.45 miles today. If she wants to run a total of 8 miles by tomorrow, how many more miles does Janice need to jog?

Answers

Answer:

3.2 miles

Step-by-step explanation:

Given the following question:

Yesterday Janice jogged 2.35 miles
Today Janice jogged 2.45 miles

[tex]2.45+2.35=4.8[/tex]

Janice ran 4.8 miles in total, so if she wants to run approximately eight miles by tomorrow, she needs to run....

[tex]8-4.8=3.2[/tex]

Janice needs to run another 3.2 miles if she wants to run a total of eight miles.

Hope this helps.

Dylan's garden is 9 feet long. How long is the garden in inches? (1 foot = 12 inches)

Answers

Answer:

108 inches long

Sara bought a pair of pants that were on sale for 33 percent off of the original price. If the original price of the pants was $52, what was the sales price of the pants?

Answers

52 • 2/3 = sale price

52 • 2 = 104

104 / 3 = 34 and 2 / 3

$34.66 sales price

express your answer in form a+bi (14+60i)+(-30+2i)

Answers

Answer:

Step-by-step explanation:

Add the real numbers and add the complex numbers

14 + 60i + (-30) + 2i

= 14 +(-30) + 60i + 2i

=  (-16) + 62i

solve for x


4 - 2/3x > 2 - x

Answers

Hope it will help you....................

A supersonic jet flies 10 miles in 0.008 hours. How fast is the jet moving? Find the speed in mi/hr and m's.

Answers

Answer:

1250 mi/hr or 558.8 m/s ....both applicable as required question

Explanation:

Speed = Distance/ Time

Speed =  10 miles / 0.008 hours

Speed = 1250 mi/hr and also as 558.8 m/s

Answer:

1250 miles/h

Step-by-step explanation:

We know that:

Speed = Distance/Time

Solution:

Distance/Time = 10/0.008=> 1250 miles/h

Hence, the speed of the supersonic jet is 1250 miles/h.

What is the price of a pair of jeans that was $45 and 6% tax was added to it? (SHOW ALL WORK)

Answers

$47.70 the process is shown in the following picture

Dean has worn a white shirt on 6 of the last 18 days. What is the experimental probability that Dean will wear a white shirt tomorrow?
Write your answer as a fraction or whole number.

Answers

Answer:

6/18 which reduces to 1/3 or 33.3%

Step-by-step explanation:

based on prior 18 days, the probability would be 6/18

Write a simplified expression for the area of this rectangle:
please help <33

Answers

Answer:For a rectangle the expression would be:

A

=

(

x

+

6

)

(

x

3

)

or

A

=

x

2

3

x

18

Explanation:

The formula for area (assuming this is a rectangle) is:

A

=

l

w

where

A

is the area of the rectangle,

l

is the length of the rectangle and

w

is the width of the rectangle.

In this problem we are provided the length and width which we can substitute for the

l

and

w

is the formula to give:

A

=

(

x

+

6

)

(

x

3

)

We can expand this to the form of a quadratic equation by cross multiplying to give:

A

=

x

2

+

6

x

3

x

18

A

=

x

2

3

x

18

Step-by-step Explanation: The formula for area (assuming this is a rectangle) is: A=l⋅w where A is the area of the rectangle, l is the length of the rectangle and w is the width of the rectangle.

Can someone please give me the (Answers) to this? ... please ...

Answers

Answer:

1. Im gonna say D. 126

2. 1/2 (can't see the answer choices clearly)

3. 60º

4. 9

5. D

Step-by-step explanation:

6 and 8/12 - 4 and 7/12​

Answers

Answer:

2 1/12

Step-by-step explanation:

     6 8/12

-    4 7/12

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

    2 1/12

Answer: 2 1/12

Answer: 2 an 1/12

Step-by-step explanation:

You can do this 2 ways
1. 6 and 8/12 - 4 and 7/12
--Start by subtracting the wholes.
-6-4=2
--Next subtract the individual fractions
-8/12-7/12= 1/12
-- All together you would get 2 and 1/12
However most questions might not be this easy (the next way will work every time)
2. 6 and 8/12 - 4 and 7/12
--Start by Making the numbers into improper fractions( that means that the number on top is larger than the one on bottom)
-(do this by multiplying the whole (6 or 4) by the denominator (12) then add that number to the numerator of the fraction)

6*12=72  
72/12 + 8/12 = 80/12
6 and 8/12= 80/12

4*12=48
48/12 +7/12 = 55/12
4 and 7/12= 55/12
--Next subtract the new improper fractions
-80/12-55/12= 25/12
-- last convert this improper fraction into a mixed fraction
You do this by seeing how many times the denominator (12) can go into the numerator(25)
12 can go into 25 two times because 12*2=24
This 2 is the whole number

Because 24 is one less than 25 there is 1 left over

This is the numerator of the fraction  2 AND (1/12)

2y+4x=14 is it infinite no solution one solution ??????

Answers

Solution I think I’m not 100% though:/

Complete the table to show the area of each circle.

Answers

The area of the circle is 36π m² and 9π m².

Circle

A circle is the locus of a point such that all set of points are equidistant from a fixed point known as the center.

The area (A) of a circle with a radius r is given by:

A = πr²

For the first circle, the radius is 6m:

A = π(6)² = 36π m²

The second circle has a diameter of 6m, hence the radius is 3m, hence:

A = π(3)² = 9π m²

From the table, the area of the circle is 36π m² and 9π m².

Find out more on Circle at: https://brainly.com/question/22965557

Step-by-step explanation:

i got it right on Imagine Math.. :)

Please help me with this question urgently! Thanks in advance.​

Answers

Step-by-step explanation:

First. plug in values of x and try to form a curve. Since this a quadratic, we will get a parabola( a U shaped graph).

Plug in values from -3 to 4.

for x.

[tex]f( - 3) = 2( - 3) {}^{2} - 3( - 3) - 5 = 22[/tex]

[tex]f( - 2) = 2( - 2) {}^{2} - 3( - 2) - 5 = 9[/tex]

[tex]f( - 1) = 2 + 3 - 5 = 0[/tex]

Keep going until you get until you get to 4 for x.

The graph above should be your curve.

1. The roots of a quadratic are the x values when y=0, here it is 2.5 and -1.

2. Since the leading degree coeffecient is positive, we have a minimum value. It hard to tell the minimum here so let put this in vertex form, we have

[tex] 2{x}^{2} - 3x - 5[/tex]

First. we do

[tex] \frac{ - b}{2a} [/tex]

[tex] \frac{ - ( - 3)}{4} [/tex]

[tex] = \frac{3}{4} [/tex]

Now, we plug that in to find our y intercept of the minimum.

[tex]2( \frac{3}{4} ) {}^{2} - 3( \frac{3}{4} ) - 5 = \frac{18}{16} - \frac{9}{4} - 5 = - \frac{ 18}{16} - 5 = - \frac{98}{16} [/tex]

So we have

(3/4,-98/16).

or

(3/4,-6.125).

help me please it's equations and inequalities

[tex]5x - 7(x + 1) > - 9[/tex]
please show steps and the graph line and the interval notation ty​

Answers

Step-by-step explanation:

[tex]5x - 7(x + 1) > - 9 \\ \\ 5x - 7x - 7 > - 9 \\ \\ - 2x - 7 > - 9 \\ \\ - 2x > - 9 + 7 \\ \\ - 2x - 2 \\ \\ x < - \frac{2}{2} \\ \\ x < 1[/tex]

what is this problem

Answers

Answer:

28 basketballs

Step-by-step explanation:

basketballs : soccer balls

7 : 6

6 units rep 24

1 unit rep 4

7 units rep 28

Please help me thank you so much!

Answers

Should have ate zero if I’m not wrong

Answer:

610 squares on the final day.

Step-by-step explanation:

490 Sunday
510 Monday
530 Tuesday
550 Wednesday
570 Thursday
590 Friday
610 Saturday

Nicole has a cabinet in the shape of a right rectangular prism. The volume of the cabinet is 24 cubic feet. If the cabinet covers a floor space of 12 square feet, how tall is the cabinet?

Answers

Hence, Height of rectangular prism is 2 feet.

Aliyah wants to estimate the value of the quotient of 5. 68 times 10 Superscript negative 3 and 8. 54 times 10 Superscript negative 9. Which statement about the value is true? The value will be greater than 1 because (negative 3) divided by (negative 9) is a positive number. A number in scientific notation with a positive exponent has a value greater than 1. The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1. The value will be less than 1 because 5. 68 divided by 8. 54 is less than 1. The negative exponents will make it even smaller. The number will be less than 1 because 5. 68 times 10 Superscript negative 3 is a very small number and division always makes the size of a number smaller.

Answers

Answer:

b

Step-by-step explanation:

A sweater that originally
costs $50 is marked 10%
off. What is the sale price?

Answers

Answer:
$45

Step-by-step explanation:

100 - 10 = 90

90/100 = 0.9

50 * 0.9 = 45

jack works at a party store. he sold 864 balloons in the last 18 days. what was his selling rate in ballons per day?​

Answers

Answer:

48 balloons

Step-by-step explanation:

All you have to do is divide 864 by 18.

864/18 = 48

Answer:

48 balloons per day

Step-by-step explanation:

Help please i'm stuck

Answers

Answer:

[tex]\frac{n^4}{144m^4}[/tex]

Step-by-step explanation:

So here we have our equation: [tex](\frac{3m^-^5n^2}{4m^-^2n^0} )^2*(\frac{mn^4}{9n})^2[/tex]

Begin with separating them both and only focusing on [tex](\frac{3m^-^5n^2}{4m^-^2n^0} )^2[/tex] for now. We have the exponent 2 on the outside of the parenthesis which means everything on the inside will be given this exponent, and with variables that have already been given exponents, you simply multiply those exponents together as basic numbers. Our result will be [tex](\frac{3^2m^-^1^0n^4}{4^2m^-^4n^0} )[/tex], now we're going to deal with those negative exponents, when they're negative you need to switch the side of the fraction they're on, say if it's on the bottom and it is negative that variable alone will be transferred to the top, the same goes with if the negative exponent is on the top, it'll basically be brought down to the denominator position. We now have [tex](\frac{3^2n^4m^4}{4^2n^0m^1^0} )[/tex] all that's left is to solve 3^2, 4^2, and n^0 as anything to the power of 0 will always be 1. And we now have our solution for the first segment; [tex](\frac{9n^4m^4}{16m^1^0} )[/tex] :)

Moving on, now focusing on [tex](\frac{mn^4}{9n})^2[/tex] we once again distribute the power of 2 to each variable, which we receive [tex](\frac{m^2n^8}{9^2n^2})[/tex] from. We have no negative exponents so we can skip the part of this process and now move on to factoring 9^2 which is 81 giving us [tex](\frac{m^2n^8}{81n^2})[/tex]!

Our last step is to multiply [tex](\frac{9n^4m^4}{16m^1^0} )[/tex] and [tex](\frac{m^2n^8}{81n^2})[/tex], I'm super sorry but I haven't even personally gotten this far in my lessons so I can't give the answer from myself but I already spent a whole lot of time thinking I'd be able to finish haha, but the result will be [tex]\frac{n^4}{144m^4}[/tex].

can the point (3,-3)be a solution to the inequality 4x+5y< 3

Answers

Answer:

Yes

Step-by-step explanation:

Because 12-15=-3, and -3<3

please help will give brainliest

Answers

Answer:16a+20

Step-by-step explanation:multiply 4 times 4a in the parentheses. And 4a times 5. Hopefully this helps.

Answer:

B, C, D

Step-by-step explanation:

Use the distributive property. Multiply both terms inside the parentheses by 4.

4(4a + 5) = 4 × 4a + 4 × 5 = 16a + 20

Now let's look at each choice:

A. 16a + 5, not equal to 16a + 20. Incorrect.

B. 16a + 20. Correct.

C. 12a + 20 + 4a = 12a + 4a + 20 = 16a + 20. Correct.

D. 2(8a + 10) = 2 × 8a + 2 × 10 = 16a + 20. Correct.

E. 16a + 5 + 4 = 16a + 9, not equal to 16a + 20. Incorrect.

if -7-4r=-15, what is the value of r/2 + 9

Answers

Answer:

Step-by-step explanation:

Consider -7-4r=-15. Adding 7 on both sides of the equation,

-4r=-8 --- r = 2

Plug in value of r in r/2 + 9 = 2/2+9 = 1+9 = 10

write an equation that represents the line.​

Answers

Answer:

[tex]\boxed{\tt y=-\cfrac{4}{3} \:x+2}[/tex]

Step-by-step explanation:

Given the graph, we can see that the line passes through (0,2) and (3,-2).

We are given the y-intercept → (0,2), now, find the slope-intercept form of the line.

[tex]\tt slope=\cfrac{(-2)-2}{3-0}\:\:\boxed{\tt Subtract}[/tex]

[tex]\tt =\cfrac{-4}{3}[/tex]

[tex]\tt =-\cfrac{4}{3}[/tex]

Therefore, the equation that represents the line is:-

[tex]\boxed{\tt y=-\cfrac{4}{3} \:x+2}[/tex]

_____________________________

Simplify. Write the expression using only positive exponents. 3^−2⋅k^0⋅w^0/w^−6

Answers

Answer:

Step-by-step explanation:

Any variable raised to 0 is 1

⇒ [tex]a^{0}=1[/tex]

[tex]a^{-m}=\dfrac{1}{a^{m}} \\\\\dfrac{1}{a^{-m}}=a^{m}\\\\[/tex]

[tex]\dfrac{3^{-2}*k^{0}*w^{0}}{w^{-6}}=\dfrac{3^{-2}}{w^{-6}}\\\\\\=\dfrac{1}{3^{2}}*w^{6}\\\\\\=\dfrac{w^{6}}{3^{2}}[/tex]

If f(x) and its inverse function, fx), are both plotted on the same coordinate plane, what is their point of intersection?

Answers

Answer: (3, 3)

Step-by-step explanation:

the graphs of [tex]f[/tex] and [tex]f^{-1[/tex] are flipped: if the point [tex](x, y)[/tex] is on the graph of [tex]f[/tex], then the point [tex](y, x)[/tex] is on the graph of [tex]f^{-1[/tex].

Any points of intersection will satisfy [tex](x, y) = (y, x)[/tex]. A point that satisfies this property must have the same x and y coordinate. (Think about it.) The only point on [tex]f[/tex] like that is [tex](3, 3)[/tex], so that is the point of intersection.

Anoche fuimos al cine cuando llegamos ya había vendido tres quintas partes de la entradas disponibles si sólo quedaron 75 entradas por vender ¿Cuántas entradas había en total?

Answers

Usando proporciones, hay que habían 188 entradas en el total.

¿Qué es una proporción?

Una proporción es una fracción de la cantidad total.

En este problema, hay que dos quintos de el total de entradas n restanban, e la cantidad equivalente a esta proporción es de 75 entradas, o sea:

[tex]\frac{2}{5}n = 75[/tex]

[tex]n = \frac{75 \times 5}{2}[/tex]

[tex]n = 188[/tex]

Habían 188 entradas en el total.

Puede-se aprender más a cerca de proporciones en brainly.com/question/26395519

giving 30 points pls answer correctly

Answers

Answer:

B. 20.41

Step-by-step explanation:

I hope this helps! pls brainliest:D

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