Your hose fills a swimming pool in 3 hours. When your friend's hose is used together with your hose, the pool is full in 1 hour. How long (in hours) does it take your friend's hose to fill the pool when working alone

Answers

Answer 1

Answer:

1.5 hours

Step-by-step explanation:

Given :

My hose = 3 hours ; my rate = 1/3

Let My friend's time = x ; his rate = 1/x

Combined time = 1 hour, combined rate = 1/1 = 1

Combined rate :

1/3 + 1/x = 1

1/x = 1 - 1/3

1/x = (3 - 1)/ 3

1/x = 2/3

Cross multiply :

3 = 2x

x = 3/2

x = 1.5 hours


Related Questions

Which of the following is equal to the expression below?
A.
B.
C.
D.

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

hope this helps

How many gallons of a 80​% antifreeze solution must be mixed with 100 gallons of 20​% antifreeze to get a mixture that is 70​% antifreeze? Use the​ six-step method.

Answers

To Find :

How many gallons of a 80​% antifreeze solution must be mixed with 100 gallons of 20​% antifreeze to get a mixture that is 70​% antifreeze.

Solution :

Let, x gallons of 80​% antifreeze solution is required :

So,

[tex](x \times 80) + ( 100 \times 20 ) = (x + 100 )\times 70\\\\8x + 200 = 7( x + 100)\\\\x = 500[/tex]

Therefore, 500 gallons of 80% antifreeze solution is required.

45-45-90 Right Triangles! Can somebody please help me? ASAP!!

Answers

Answer:

Step-by-step explanation:

45-45-90 triangles always have the same relationships

leg = x,    hypotenuse = x√2

If you have the leg length multiply it by √2 to get the hypotenuse

hypotenuse = x,   Leg = x/√2

If you have the hypotenuse length divide it by √2 to get the leg

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

7)

leg  = 3√2 / 2

hyp =  3√2 / 2 *  √2 = 3

8)

leg = 5√2

hyp = 5√2 *√2 = 10

9)

hyp = 2

leg = 2 / √2 = √2

10)

leg = 13√2 / 2

hyp = 13√2 / 2 * √2  = 13

11)

leg = 3√3

hyp = 3√3 * √2 = 3√6

12)

leg = 12

hyp = 12√2

Ms. Harper knows that her students in a computing course can choose from one of three operating systems for the semester: Doors, Banana, or Duix. Ms. Harper wants to test the hypothesis that her students will select the operating systems in the same proportion as students in other computing courses at the university. She conducts a χ2 goodness-of-fit test and calculates χ2=3.79 with a corresponding p-value of 0.15. Which of the following is correct at a 5-percent level of significance?
A. Reject the null hypothesis, since 3.79 > 2.
B. Fail to reject the null hypothesis, since 3.79 > 2.
C. Reject the null hypothesis, since 0.15 > 0.05.
D. Fail to reject the null hypothesis, since 0.15 > 0.05.
E. Reject the null hypothesis, since 0.15 < 3.79.

Answers

Answer:

D. Fail to reject the null hypothesis, since 0.15 > 0.05.

Step-by-step explanation:

P-value and decision regarding null hypothesis:

If the p-value is larger than the significance level, we do not the null hypothesis.

Otherwise, we reject the null hypothesis.

In this question:

The test statistic is χ2=3.79, with a p-value of 0.15.

The level of significance is 0.05.

Since 0.15 > 0.05, we fail to reject the null hypothesis, and the correct answer is given by option D.

There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice,and they want to get exactly the same amount. How much orange juice can each get?

Answers

Answer:

Quantity of juice = 300 milliliters

Step-by-step explanation:

Given the following data;

Total quantity of juice = 3 liters

Number of students = 10 students

To find the quantity of orange juice each student can get;

First of all, we would have to convert the total quantity (volume) of juice into a unit that's divisible by 10 i.e liters to milliliters.

Conversion:

1 liter = 1000 milliliters

3 liters = 3 * 1000 = 3000 milliliters

Next, we determine the quantity each student get;

Quantity of juice = 3000/10

Quantity of juice = 300 milliliters

What is EG? Round to the nearest tenth if necessary.

Answers

Answer:

26.

Step-by-step explanation:

As the vertex angles are equal:

24/54 = x / x+10

54x = 24x + 240

30x = 240

x = 8

So EG = x + x + 10

=  8 + 8 + 10

= 26..

Can anyone explain step by step how to get this answer?


Will mark branliest!!

Answers

Answer:

Step-by-step explanation:

28°

Challenge: Solve 2x+y=7 for y. What does y equal?

Y= X+

Answers

Answer:

y = -2x+7

Step-by-step explanation:

2x+y=7

Subtract 2x from each side

2x+y -2x=-2x+7

y = -2x+7

I don’t understand the steps for this problem

Answers

Answer:

-53

Step-by-step explanation:

You start off with the g of x equation

then you substitute -5 for the x value

after you solve that, you should get g of  x = 23

then you take the f of x equation and plug 23 in for x

then you simplify that and you should end up with an answer of -53

Step-by-step explanation:

i just need points so i can ask my questions

Help me or not i have 10 points to offer

Answers

Answer:

I think 42.5

Step-by-step explanation:

About 89% sure

Please help I don’t understand

Answers

Answer:

the 1 one and the 4 one

Step-by-step explanation:

Uh please help 8x-4y=-4
-3x+4y=5
Subtract second equation from the first

Answers

Answer:

11x -8y = -9

Step-by-step explanation:

8x-4y=-4

-3x+4y=5

Subtract the second equation from the first

8x-4y=-4

-(-3x+4y=5)

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

Distribute the minus sign

  8x-4y=-4

+(3x-4y=-5)

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

11x -8y = -9

The British government conducts regular surveys of household spending. The average weekly household spending on tobacco products and alcoholic beverages for each of 11 regions in Great Britain are recorded. A scatterplot of spending on tobacco versus spending on alcohol is given below: What is the most plausible value for the correlation between spending on tobacco and spending on alcohol

Answers

Answer:

Great Britain we’re colonizers

Step-by-step explanation:

Answer:

C) 0.08

Step-by-step explanation:

-2x + 9y = 2
4x - 18y = -4

Answers

Answer:

6x + 27y = -6

Step-by-step explanation:

i looked it up sooo sorry if its wrong lol

Write the ratio 4.05 : 1.35 in the format n : 1

Answers

Answer:

3

Step-by-step explanation:

1.35n is 4.05

4.05÷1.35 is 3

n is 3

Answer:

3 : 1

Step-by-step explanation:

4.05 : 1.35 can be written as [tex]\frac{4.05}{1.35}[/tex] in fraction.

To write 4.05 : 1.35 in "n : 1" ratio format , you need to make the denominator of the fraction as 1.

Divide both the numerator & denominator of the fraction by 1.35.

[tex]=> \frac{4.05 \div 1.35}{1.35 \div 1.35}[/tex]

[tex]=> \frac{3}{1}[/tex]

[tex]=> \boxed{3 : 1}[/tex]

The picture says it all. If possible please explain. You don't have to but I would very much like to know how to solve this in the future.

Answers

Answer:

g(x)= ((x+4)^2) -2

Step-by-step explanation:

...............

Answer:

Step-by-step explanation:

HURRY!!!!!! 100 POINTS!!!!!!!!!!

WHO ANSWERS THIS FIRST GETS BRALIEIST!!!!!!!!


Arturo received a large cash prize when he was chosen as the winner of a writing contest, and he did something
really nice and totally unselfish with the winnings that he received.
which revision most
effectively shortens the sentence to make it less repetitive and more precise?
Drag the revision into the box
Revision


A.

As the winner of a writing contest, Arturo won money and gave his winnings away.

B.

Arturo did something unselfish with the prize money he won in a writing contest instead of spending it
on himselt

C.

Arturo won a cash prize in a writing contest and donated the money to a local animal shelter.

Answers

Answer:

C

Step-by-step explanation:

The answers is c Arturo won the cash prize in writing

In the figure shown, cos P = 0.60. What is the length of PN

Answers

Answer:40 centimeter

Step-by-step explanation:

It’s hard to explain but I also had this question

The length of PN in the figure is 40 cm

How to determine the length of PN?

From the complete question, we have:

PM = 24 cm

cos P = 0.60

Shape: Right triangle at M

The length PN is calculated using the following cosine ratio

cos P = PM/PN

Substitute known values

0.60 = 24/PN

Make PN the subject

PN = 24/0.60

Divide

PN = 40

Hence, the length of PN is 40 cm

Read more about right triangles at:

https://brainly.com/question/23814470

I L L B E M A R K I N G B R A I N L I E S T T O W H O A N S W E R S F I R S T !

Answers

Answer:

Its the rectangle

Step-by-step explanation:

Help me pls I need help fast give point and brianlylist

Answers

Answer:

Step-by-step explanation:

A) 2( 4×5 +6×5+6×4)=148 cm²

B) 2( 4x6 + 13 ×6 + 13×4) = 308 in²

Prove that the shape below is a rectangle.

Answers

Answer:

HG = EF

GF = HE

Step-by-step explanation:

What is the length of x?

Answers

Answer:

9.04

Step-by-step explanation:

tan 37 = x/12

0.7536 x 12= x

x = 9.04

hope this helps! feel free to clarify

Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it. If a law-abiding calculus student, one who always travels at the posted speed and who always does his homework, is traveling 45 miles per hour is directly above a train going 60 miles per hour below, how fast will they be separating 10 seconds later

Answers

Answer: 110 feet per second

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

[tex]S1=\frac{45*5280}{3600}=66[/tex]

[tex]S2=\frac{60*5280}{3600}=88[/tex]

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

[tex]h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}[/tex]

[tex]h=\sqrt{12100}=110[/tex]

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

In this exercise we have to use the knowledge about distance to calculate the time that a route with a car will be carried out, in this way we find:

[tex]H= \sqrt{12100}=110[/tex]

In this question we will acquire that the vehicle driven on streets at 45 5 per period exist mobile into the x direction accompanying a extreme of 100 extremities, and the train happen going fashionable the y course, so they course will fashioned an angle of 90º.

[tex]S_1=(45*5280)/3600=66\\S_2=(60*5280)/3600=88[/tex]

So we can curve trio accompanying edge 66 and 88 and the hypotenuse will exist the rate that the trains will separate per second so:

[tex]H=\sqrt{(66^2+88^2}=\sqrt{(4356+7744} \\=110[/tex]

See more about distance at brainly.com/question/989117

What makes composing functions different from doing an arithmetic operation of two functions such as adding or dividing them?

Answers

function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.

X = mb + y

Is this written out in slope intercept form?

Answers

Answer:

no

Step-by-step explanation:

y=mx+b

hope this helps

no the answer is y=mx+b
hope this helped

A curve has the equation y=x^3+8x^2+5

Answers

Cut x (0;5)
Image below shows the graph

help i need the value of y

Answers

Answer:

y = 87º

Step-by-step explanation:

Vertical angles are congruent

y = 87º

Answer:

87°

Step-by-step explanation:

y is vertical to 87° meaning that the two are congruent which makes them the same

Factor 2x^2 c^2 + 3xc^2- 35c^2

Answers

c2 • (2x - 7) • (x + 5)

Given the set of data below, which measure(s) will change if the outlier is removed? (Check all that apply.) 1,6,8,8,8
mean
range
median
mode​

Answers

The diameter of a circle measures 12 yd what is the Circumference some of the circle? Use 3.14 for n

The mean, range, and median will vary if the outlier is eliminated. Options A, B, and C are correct.

What is mean?

The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.

The data set is;

1,6,8,8,8

Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.

There is an aberration in the graph below, on the far left. The value in January is much lower than the value in the other months.

If the outlier is removed mean, range, and median will changes.

Hence options A, B and C are correct.

To learn more about mean refer:

https://brainly.com/question/13451489

#SPJ2

How to solve equations in which the variable is in an exponent

Answers

Answer:

It depends on the equation.

If the bases are equal and the variables are only in the exponents, set the exponents equal.

If there are variables in the exponents, but you cannot set the bases equal, then use logarithms.

Example 1:

[tex] 4^{2x + 5} = 4^9 [/tex]

Here you have the same base on both sides. The variables are in the exponents. Set the exponents equal and solve for x.

2x + 5 = 9

2x = 4

x = 2

Example 2:

[tex] 3^{2x} = 9^{6} [/tex]

The bases are different, but you can make the bases equal using laws of exponents. Remember that 9 = 3^2.

[tex] 3^{2x} = (3^2)^{6} [/tex]

[tex] 3^{2x} = 3^{12} [/tex]

Now you have equal bases, so the exponents must be equal.

2x = 12

x = 6

Example 3:

[tex] 10^{x + 2} = 9 [/tex]

Here you can't make the bases equal, so you take the log of both sides and use laws of logs.

[tex] \log(10^{x + 2}) = \log 3^2 [/tex]

[tex] (x + 2) \log 10 = 2 \log 3 [/tex]

Recall that: [tex] \log 10 = 1 [/tex]

[tex] x + 2 = 2 \log 3 [/tex]

[tex] x = 2 \log 3 - 2 [/tex]

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