A pool can be filled by one pipe in 6 hours and by a second in 12 hours . How long will it take using both pipes to fill the pool?

Answers

Answer 1
One pipe = 1/6 of the pool in one hour
Second pipe = 1/12 of the pool in one hour
Let x be the time
Make them equal to 1 (total of pool)
1/6(x) + 1/12(x) = 1
Make non fraction by multiplying by 12
2x + 1x = 12
3x = 12, x = 4
It would take 4 hours
Answer 2

Answer:

4 hours

Step-by-step explanation:

Part of the pool filled by first pipe in an hour = 1/6

Part of the pool filled by second pipe in an hour = 1/12

Part of the pool filled by first pipe and second pipe in an hour = 1/6 +1/12

             [tex]=\frac{1*2}{6*2}+\frac{1}{12}\\= \frac{2}{12}+\frac{1}{12}\\\\=\frac{3}{12}\\\\=\frac{1}{4}[/tex]

Time taken by both the pipes to fill the pool = 4 hours


Related Questions

Find the median of the data in the dot plot below.

Answers

Answer:

41

Step-by-step explanation:

41 cause its the middle

a motorbike has been marked down by 38% to $130000.what is the original price?

Answers

Answer:

49400

Step-by-step explanation:

Answer:

so 38 % of 130000 = 49,400

so now after loss it's original price will be 130000-49400(38%)

=$800600

For whole numbers between 1 and 1001, inclusive, let m be the sum of odd numbers and n be the sum of even numbers. What is the value of m−n?

Answers

Answer:

m - n = 501

Step-by-step explanation:

Remark

The first thing you have to do is find the number of odd and even numbers. This is where you have to be careful because there is a danger of being out by one.

equation

l = a + (n - 1)*d

Solution even

l = 1000

a = 2

d = 2

1000 = 2 + (n - 1)*2

998/2 = (n - 1) * 2 / 2

499 =  n - 1

n = 500

Solution odd

l = 1001

a = 1

d = 2

1001 = 1 + (n - 1)*2

1000 =  (n - 1)*2

1000/2 =  (n - 1)2/2

500 =  n - 1

501 = n

Sum Even of even numbers from 1 to 1001

Givens

a = 2

n = 500

l = 1000

Equation

Sum = (a + l ) * n / 2

Solution

Sum = (2 + 1000)*500/2

Sum = 1002 * 250

Sum = 250500

Sum of Odd numbers from 1 to 1001

a = 1

l = 1001

n = 501

Equation

sum = (a + l)*n/2

sum = (1 + 1001) * 501

sum = (1002)*501 / 2

Sum =  251001

Answer

m - n = 251001 - 250500 = 501

Parallelogram MNPQ was dilated to create parallelogram M'N'P'Q'.

On a coordinate plane, 2 parallelograms are shown. Parallelogram M N P Q has points (2, negative 2), (4, negative 2), (3, negative 3), and (1, negative 3). Parallelogram M prime N prime P prime Q prime has points (5, negative 5), (10, negative 5), (8, negative 7), and (3, negative 7).

Which statements are true about the parallelograms? Select three options.

The length of side MN is 2 units.
The length of side M'N' is 5 units.
The image is smaller than the pre-image.
Sides MQ and M'Q' both have the same slope, 1.
The scale factor is Two-fifths.

Answers

Answer:

134

Step-by-step explanation:

yeah no

CAN SOMEONE PLZ ANSWER THIS ITS DUE AT 11:59 APRIL 11 2021 AND ILL MARK U BRAINLIST

ITS ON THAT PICTURE PLZ

Answers

Answer:

C. 586.2 cm²

Step-by-step explanation:

Area of the figure = area of triangle + area of rectangle + area of semicircle

= (½*b*h) + (L*W) + ½(πr²)

Where,

b = 18 cm

h = 7 cm

L = 22 cm

W = 18 cm

π = 3.14

r = ½(18) = 9 cm

Substitute

Area = (½*18*7) + (22*18) + ½(3.14*9²)

Area = 63 + 396 + 127.17

Area = 586.17 ≈ 586.2 cm²

Justin recently drove to visit his parents who live 300 miles away. On his way there his average speed was 11 miles per hour faster than on his way home (he ran into some bad weather). If Justin spent a total of 10 hours driving, find the two rates.

Answers

Answer:

x=1

Step-by-step explanation:

which of the following statements are true of the discriminant?

Answers

Answer:

A,B,C

Step-by-step explanation:

The first three which is A, B, and C

Help and no links plzz

Answers

Answer:

20

Step-by-step explanation:

2 1/2 = 5/2

(5/2)/(1/8) = 20

The table gives information about the heights of 35 girls.
Height (h metres)
Frequency
1.30 11
1.40 9
1.50 7
1.60 6
1.70 2.
2
(a) Find the class interval that contains the median.
(b) Work out an estimate for the mean height.

Answers

Answer:

use ratio method but you start with division

The seventh-grade class supplied bags of snacks and beverages for the school dance. They supplied 50 more beverages than bags of snacks. The dance was supplied with a total of 400 items. How many of each were supplied.


A) Define the variables.


B) Write a systems of equations for the situation.


C) Graph the system.

Answers

Answer:

C

Step-by-step explanation:

Hope this help and have a nice day

HELP ITS TIMED WILL GIVE BRAINLYIST

Answers

Answer:

C

Step-by-step explanation:

For the right triangles below, find the exact values of the side lengths b and a. If necessary, write your responses in simplified radical form. 300 Х X 5 ? 459 5 4= 45° 60 3 ​

Answers

Answer:

who knows

Step-by-step explanation:

2(a+b)+ 4m(a+b) factor out the greatest common factor​

Answers

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

[tex]gcf = 2(a + b)[/tex]

Factor out the GCF.

[tex]2(a + b)( \frac{2(a + b)}{2(a + b)} + \frac{4m(a + b)}{2(a + b)} [/tex]

now, Simplify each term in parentheses.

[tex]2(a + b)(1 + 2m)[/tex]

hence, if we factor out the GCF (greatest common factor), we get the answer 2 (a + b) (1 + 2m).

solve x + 1 > 3. graph the solution. can someone help me out??

Answers

Answer:

x>2

Step-by-step explanation:

x+1>3

x>3-1

x>2

I hope this helps

Find the difference: (6a + 6) - (3x - 2) - (2a + 4)

Answers

Answer:

4 a − 3 x + 4

Step-by-step explanation:

I just simplified everything together to get this answer.

Hope that this helped! :)

Have a great rest of your day/night!

Please thank me on my profile if this answer has helped you!

Function g is a transformation of the parent sine function such that g(x) = sin(x - pi) - 2. which graph represents function g?

(answer choices in the picture)

Answers

The graph of the function g is graph (c)

How to determine the graph of function g?

The function g is given as:

g(x) = sin(x - pi) - 2

The transformation of the parent function that gives the function g is:

Translate the parent function to the right by pi unitsTranslate the parent function downward by 2 units

Using the above highlight as a guide, the graph of the function g is graph (c)

Read more about function transformation at:

https://brainly.com/question/26092237

Answer:

its graph c, i got it correct on endgenuity

Step-by-step explanation:

The width of a rectangle is 2 3/8 inches. The rectangle is 1 3/4 inches longer than it is wide Find the Length of the rectangle and preimeter of the rectangle

Answers

Answer:

We need to find length and width.  To find two unknowns we need two equations.

P = 2L + 2W = 34

L = W + 3

34 = 2(W + 3) + 2W

34 = 2W + 6 + 2W

28 = 4W

W = 7

L = 7 + 3 = 10

The length is 10 inches and the width is 7 inches.

Step-by-step explanation:

Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
will he need?
8 cm
20 cm
Dmitri will need
18 cm
glass tiles.

Answers

9514 1404 393

Answer:

  968

Step-by-step explanation:

The area of the top and sides is given by the formula ...

  A = LW +2H(L +W)

  A = (20 cm)(18 cm) +2(8 cm)(20 cm +18 cm)

  A = (360 +16(38)) cm² = 968 cm²

Since the tiles are 1 cm², 968 tiles are needed.

I will vote Brainliest to whoever gets it right.
(It's not 2)


4 = a - 6​

Answers

Answer:

its 10

Step-by-step explanation:

add the numbers, 4 and 6 where you'll get 10

Ann is mailing packages. Each small package costs her $2.10 to send. Each large package costs her $3.30. How much will it cost her to send 6 small packages
and 7 large packages?

Answers

Answer:

$35.70

Step-by-step explanation:

small package: 2.10×6=12.60

large package: 3.30×7=23.10

total: 23.10+12.60=35.70

Use the remainder theorem and synthetic division to find f(k) for the given value of k.

Answers

Answer:

3

Step-by-step explanation:

Given that,

[tex]f(x) =-x^3-8x^2-15x+3[/tex]

We need to find the value of  f(x) when k = -5

Put x = -5 in th  given function.

So,

 

[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]

Hence, the value of the given function is equal to 3.

¿Cual es el diámetro del círculo que se puede trazar con un compás cuyo brazos miden 10 cm y forman un ángulo 34?

Answers

Answer:

Sorry that it is in english.

Step-by-step explanation:

The arms of the compass mesure the radius.

[tex]r=10\\2r=diamater (d)\\2*10=d\\20=d[/tex]

please help asap
photo attached
choices are
A. -8
B. -6
C. 0
D. 22

Answers

I think it is b!!!!!!

The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x1) and newspaper advertising (x2).

Weekly Gross Revenue Television Advertising Newspaper Advertising
() () ()
97 5.0 2.5
90 2.0 2.0
96 5.0 2.5
93 3.5 2.5
95 3.0 4.3
95 4.5 2.3
94 2.5 5.2
94 3.0 2.5

The estimated regression equation was:_______

Answers

Answer:

ŷ = 1.85057X1 + 0.9688X2 + 84.77516

Step-by-step explanation:

Given the data:

Weekly Gross Revenue (Y) :

97

90

96

93

95

95

94

94

Television Advertising (X1) :

5

2

5

3.5

3

4.5

2.5

3

Newspaper Advertising (X2) :

2.5

2

2.5

2.5

4.3

2.3

5.2

2.5

The regression equation obtained using a multiple regression calculator is :

ŷ = 1.85057X1 + 0.9688X2 + 84.77516

x1 and x2 are the predictor variables

y is the predicted variable (Weekly Gross Revenue).

Slope x1 = 1.85057

Slope x2 = 0.9688

Intercept = 84.77516

The steps to simplify the expression 5÷1 over 100 times-0.7 times -20 oh shown below with one missing step which is the missing step

Answers

Answer:

i did it 4 times and the answer is D

Step-by-step explanation:

Answer:

Option D) is Correct

Step-by-step explanation:

I took the test on T4L and got it right.

sin 0
4. Find tan0 .
A.
B.
C.
D.

Answers

Answer:

A

Step-by-step explanation:

Answer:

D. 9/40 would be the answer.

Step-by-step explanation:

formula

sinQ= opp/hyp (9/41)

TanQ= opp/adj (which mean 9 /40)

Given: RT ≅ TV and ST ≅ TU
Prove: RSVU is a parallelogram.

Quadrilateral R S V U is shown. Diagonals are drawn from point R to point V and from point S to point U and intersect at point T. The lengths of R T and T V are congruent. The lengths of U T and T S are congruent.


Statements

Reasons
1. RT ≅ TV;
ST ≅ TU 1. given
2. ∠RTS and ∠VTU are vert. ∠s;
∠RTU and ∠VTS are vert. ∠s 2. definition of vertical angles
3. ∠RTS ≅ ∠VTU;
∠RTU ≅ ∠VTS 3. vertical angles are congruent
4. ? 4. SAS congruency theorem
5. ∠VRS ≅ ∠RVU; ∠USR ≅ ∠SUV;
∠VRU ≅ ∠RVS; ∠RUS ≅ ∠USV 5. CPCTC
6. ∠VRS and ∠RVU, ∠USR and ∠SUV, ∠VRU and ∠RVS, ∠RUS and ∠USV are each a pair of alternate interior angles 6. definition of alternate interior angles
7. RS ∥ UV and RU ∥ SV 7. converse of the parallelogram diagonal theorem
8. RSVU is a parallelogram 8. definition of parallelogram
What is the missing statement in step 4?

△RTS ≅ △VTU and △RTU ≅ △VTS
△RTS ≅ △RVS and △RTU ≅ △STV
△VRS ≅ △VRU and △USR ≅ △USV
△VUR ≅ △VUS and △UVS ≅ △SRU

Answers

Answer:

△RTS ≅ △VTU and △RTU ≅ △VTS should be your answer :)

Answer:

A

Step-by-step explanation:

A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 263 cars owned by students had an average age of 7.25 years. A sample of 291 cars owned by faculty had an average age of 7.12 years. Assume that the population standard deviation for cars owned by students is 3.77 years, while the population standard deviation for cars owned by faculty is 2.99 years. Determine the 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty. Step 1 of 3: Find the point estimate for the true difference between the population means.

Answers

Answer:

The point estimate for the true difference between the population means is 0.13.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

Step-by-step explanation:

To solve this question, before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When we subtract two normal variables, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

A sample of 263 cars owned by students had an average age of 7.25 years. The population standard deviation for cars owned by students is 3.77 years.

This means that:

[tex]\mu_s = 7.25, \sigma_s = 3.77, n = 263, s_s = \frac{3.77}{\sqrt{263}} = 0.2325[/tex]

A sample of 291 cars owned by faculty had an average age of 7.12 years. The population standard deviation for cars owned by faculty is 2.99 years.

This means that:

[tex]\mu_f = 7.12, \sigma_f = 2.99, n = 291, s_f = \frac{2.99}{\sqrt{291}} = 0.1753[/tex]

Difference between the true mean ages for cars owned by students and faculty.

Distribution s - f. So

[tex]\mu = \mu_s - \mu_f = 7.25 - 7.12 = 0.13[/tex]

This is also the point estimate for the true difference between the population means.

[tex]s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2325^2+0.1753^2} = 0.2912[/tex]

90% confidence interval for the difference:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = zs = 1.645*0.2912 = 0.48[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 0.13 - 0.48 = -0.35 years

The upper end of the interval is the sample mean added to M. So it is 0.13 + 0.48 = 0.61 years.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

“Snoqualmie” is a name shared by a waterfall and a tribe of Native Americans. In a study of the cultural importance of the waterfall, two groups of the Snoqualmie tribe were randomly surveyed. One group consisted of Snoqualmie members living less than 25 miles from the waterfall. Another group consisted of Snoqualmie members living more than 25 miles from the waterfall. The researchers asked each member to rate the cultural importance of the waterfall as low, medium, or high. Data from the study are presented in the following table.

Answers

Answer: E ( (17)(50)/88 )

Step-by-step explanation:

(Row total * column total) / table total

The graph represents the number y of attendees to a market research conference after x years.
Write an exponential function that represents the number of attendees to the conference.

Answers

Ok, I hope im right. (Others correct me if im not. But when I worked out this problem I got y is approximatly 4,882 attendees after 6 years.

Gathering info from the graph I created a table

(0,20) , (1,30) , (2,45), ...

I found the difference between the points listed. For example, 30÷20 is 1.5. So, each point is multiplied times 1.5 to continue the sequence.

Use the equation: y=a(1+r)^t

Remember what each variable stands for. That way you can plug in the correct information

Continuing..

y=a(1+r)^t

y=20(1+1.5)^t ; combine like terms

y=20(2.5)^t

b) Plug in the # of years. 6 in our case, everywhere you see a t

y=20(2.5)^6

y is approximately equal to 4882.8125

Round because we can only have whole numbers. we're talking about people.

I hope I got this right. But, if not, I tried

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