Item 19 Your pump empties the water from a swimming pool in 6 hours. When your friend's pump is used together with your pump, the pool is emptied in 1.5 hours. How long (in hours) does it take your friend's pump to empty the pool when working alone

Answers

Answer 1

Answer:

0.75 hours

Step-by-step explanation:

Time taken by my pump = 6 hours

Time taken by friend's pump = x

Combined time = 1.5 hours

Rate :

my pump = 1/6

Combined rate = 1/1.5

Combinwd rate = 1/6 + 1/x

Hence :

1/6 + 1/x = 1/1.5

(x + 6) / 6x = 1.5

x + 6 = 9x

x - 9x = - 6

-8x = - 6

x = - 6 / - 8

x = 0.75 hours


Related Questions

My nephew, Oliver, got a new Lego set. He has decided to build it with his friend, Josie. It took them 6 hours to build together. If Oliver is half as fast as Josie, how long would it take Josie to build this Lego set alone?

Answers

Answer:

4 hours

Step-by-step explanation:

If it took them together with a total of 6 hours and Oliver is half as fast meaning Jose is faster it will take Jose 4 hours.

A simple equation is

6= 4+2

And the 2 would be Oliver since Oliver is half as fast.

what is the solution of 1

Answers

There is no picture

KInda need to hurry first answer gets brainlist

Answers

Answer: d

Step-by-step explanation:

Answer:

I think the answer to your question is 3x-5y^2 i am not sure.

Step-by-step explanation:

I hope this helps, have a nice day

Which equation represents the line passes through (0,100) and (1, 160)

Answers

Answer:

b) y=60x + 100

Step-by-step explanation:

Select all the correct answers.
Based on these sets of side lengths, which triangles are right triangles?
8 units, 15 units, V75 units
08 units, 3 units, V73 units
16 units, 30 units, V50 units
5 units, 7 units, 174 units

Answers

Answer:

08 units, 3 units, V73 units

Step-by-step explanation:

Pythagoras theorem can be used to determine which  sets of side lengths are for a right triangle

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

8² + 15² = √289

8² + 3² =  √73

16² + 30² =  √1156

only the second option is correct

Find the measure of the missing angle.
A
43°
Help ASAP plz

Answers

Answer:

47

Step-by-step explanation:

The missing angle is complementary to the angle shown and together they from 90.

Your missing angle is 90 - 43

A designer builds a model of a sports car. The finished model is exactly the same shape as the original, but smaller. The scale factor is 2:15

Answers

Answer:

[tex]Ratio = 2 : 15[/tex]

Step-by-step explanation:

Given

[tex]k = 2 : 15[/tex] --- scale factor

Required [missing from the question]:

The ratio of width of the model to the original

From the question, we understand that the scale factor is: 2 : 15

The ratio of the width of the model to the original equals the given scale factor i.e.

[tex]Ratio = 2 : 15[/tex]

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

78.87. I got the same answer as the first person, kudos to you :)

The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.

Why are the events not independent?

The sum of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is not equal to P(A and B).
The sum of P(A) and P(B) is not equal to P(A and B)

Answers

Answer:

the correct answer is the product of PA) and P(B) is not equal to P(A and B)

which is the solution to the inequality y - 27 - 13

Answers

Answer:

-40

Step-by-step explanation:

y−27−13

=y+−27+−13

Combine Like Terms:

=y+−27+−13

=(y)+(−27+−13)

=y + −40

-2x + 3y = 18. x = -y + 1

Answers

Answer:

D. X=-3, y=4

Step-by-step explanation:

-2x+3y=18 equation 1

x=-y+1 equation 2

-2(-y+1)+3y=18 replace x value of equation 2 into equation 1

2y-2+3y=18

5y=20

y=4

solve for x by replacing y value into either equation.

x=-y+1

x=-4+1

x=-3

help!! What is 78,400,000 expressed in scientific notation?
A. 78.4 x 10
B. 7.84 x 10
C. 78.4 x 10
D. 784 x 10

Answers

It's b the number multiplied by 10 must be less than 10

The weight of oranges growing in an orchard is normally distributed with a mean weight of 5 oz. and a standard deviation of 0.5 oz. From a batch of 1500 oranges, how many would be expected to weight less than 5 oz., to the nearest whole number?

Answers

Answer:

The interval that would represent weights of the middle 95% of all oranges from this orchard is from 5 oz to 7 oz.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 6

Standard deviation = 0.5

Middle 95% of weights:

By the Empirical Rule, within 2 standard deviations of the mean.

6 - 2*0.5 = 5

6 + 2*0.5 = 7

The interval that would represent weights of the middle 95% of all oranges from this orchard is from 5 oz to 7 oz.

Brainliest for correct answer! :)

Answers

Answer:

Mode: 44 (mode is biggest number)

Mean: 30 (the average between numbers)

Step-by-step explanation:

Calculating the Mean

44 + 43 = 87

25 + 8 = 33

87 + 33 = 120

120 + 30 = 150

150/5 = 30

The function y=15,000(1.10)xmodels the cost of annual tuition at a local college, x years after 2000. How much will tuition be in 2025?

Answers

Answer: [tex]162,520.588[/tex]

Step-by-step explanation:

Given

The function [tex]y=15,000(1.1)^x[/tex] models the cost of tuition fees after year 2000

In year 2025 that is 25 years after 2000, fees can be given as

[tex]\Rightarrow y=15,000(1.1)^{25}\\\Rightarrow y=15,000\times 10.834\\\Rightarrow y=162,520.588[/tex]

Thus, the fees in year 2025 is [tex]162,520.588[/tex].

What is the m_ACB?
O 10°
B.
0 50°
(4x)
O 90°
O 180°
(7x-20)
С

Answers

Answer:

180

Step-by-step explanation:

90 + 4x + 7x - 20 equals to 180

Answer:

B. 50

Step-by-step explanation:

Find the indicated limit, if it exists.

Answers

Answer:

[tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Constant]:                                                                                             [tex]\displaystyle \lim_{x \to c} b = b[/tex]

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Limit Property [Addition/Subtraction]:                                                                   [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]

Step-by-step explanation:

*Note:

When you graph the function, the left-hand and right-hand limit does equal the same.

Step 1: Define

[tex]\displaystyle f(x) = \left \{ {{x + 9, x < -8} \atop {-7 - x, x \geq -8}} \right.[/tex]

Step 2: Find Limit

Substitute in function [Limit]:                                                                        [tex]\displaystyle \lim_{x \to -8} f(x) = \lim_{x \to -8} (-7 - x)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]:                           [tex]\displaystyle \lim_{x \to -8} f(x) = -7 - (-8)[/tex]Simplify:                                                                                                         [tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Need help thanks please :)

Answers

Answer:

t:

[tex] \infty , - \infty [/tex]

meaning any number can substitute t and it would be the same answer.

match the equation below

Answers

There isn’t a photo, sorry

Find the area of the shaded sector

Answers

The best suitable option here is option D.

ASAP WILL GIVE BRAILIEST!!!

Answers

Answer:

Step-by-step explanation:

6^10 can also be written as

b.6^8.6^2

6^8+2

610

d.(6^10)^1

6^10*1

6^10

Answer:

B and d are correct because does are the only two that equal 6^10 ( or 60466176 )

Step-by-step explanation:

The area of a parallelogram can be found by the
equation area = (b)(h)
Find the height of a parallelogram that has an area of
10 2 in2 and a base of Ži in.
SET
The height of the parallelogram is
inches.
I NEED THE ANSWE ASAP

Answers

The height = (7/2)

You take the answer and divide it by the base to get the height.
Same thing for base. You divide the answer by the height to get base.

Answer:

14

Step-by-step explanation:

just did it (don't search up mr hands)

To print tickets, a printer charges a $30 setup fee plus $1.05 per ticket. Write an algebraic expression for the cost of t tickets. What is the cost of 300 tickets?

an explanation 2 plz thx

Answers

Answer:

Solution given:

we have

setup price =$30

as rate for 1 print tickets =$1.05/tickets

so

for t

t=$30+$1.05*t

is a required expression.

the

cost of 300 tickets:

300 tickets =$30+$1.05*300=$345

$345is the cost of 300 tickets.

estimate a 15% tip for a 19.80 meal.

Answers

the tip would equal $ 2.97.

19.80 x 0.15 = 2.97

Answer:

$3.00

Step-by-step explanation:

The tip would equal to $2.97 so the answer is $3.00 that is your estimate

Answer each question and round your answer to the nearest whole number

Answers

Answer:

New width = 12 in.

Step-by-step explanation:

Original height = 2 in.

Original width = 3 in.

New height = 8 in.

New width = x = ?

The shape of the original painting and the shape of the new painting are similar, therefore, the ratio of their corresponding linear measurement will be equal.

Thus:

New height/original height = new width/original width

8/2 = x/3

Cross multiply

2x = 3*8

2x = 24

2x/2 = 24/2

x = 12

New width = 12 in.

PLEASE PLEASE HELP I REALLY NEED THIS!! THANK YOU
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Answers

Answer:

12 right 6 up (12,6) and 3:1 or 3

Step-by-step explanation:

price of a
the
of a microwave
Loven was marked down
from $187.50 to $150.00.
what
was the percent
decrease in price.

Answers

Answer:

20%

Step-by-step explanation:

$187.50 - 20% = $150.00

Please help me with this one??

Answers

Answer:

Y =-25x +225

Step-by-step explanation:

First you can count the gradient first. Use then you can count y intercept

Niveen makes muffins and sells them for $0.65 each. To make 12 muffins, she must spend $5.25 on muffin mix, $0.75 on vegetable oil, and $0.87 on eggs. The smallest batch of muffins Niveen can make is 12 muffins.

what would result in Niveen earning a profit?

Answers

Answer:

selling 36 muffins at a discount rate of 10% off the original price

Step-by-step explanation:

Identify a, b and c in the quadratic equation.

-x2 + 31x + 7 = 0

Answers

Answer:

a is -1

b is 31

c is 7

Step-by-step explanation:

-x^2+31x+1=0

ax^2+bx+c=0

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