officials begin to release water from a man made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 30 weeks is replenishing the lake at the same time. how many weeks does it take to empty the lake? express you answer as a fraction reduced to the lowest terms, if needed.​

Answers

Answer 1

Answer:

34²/7

Step-by-step explanation:

Take the dam to be a take and the exit of the dam to be a tap at the bottom which is used to empty the tank and the river to be a pipe at the top of the tank that is used to fill the tank

The tap takes 16 week to empty the tank how much will it empty in 1 week =¹/16

The pipe takes 30 week to fill the tank how much will it fill in 1 week =¹/30

¹/16-¹/30= ?

Get the LCM of the denominator which is 240

The fractions are now

15/240-⁸/240=⁷/240

1week=⁷/240 empty

? = 240/240 empty

Cross multiple

240/240×1÷7/240

240/240×1÷240/7=240/7

7÷240=34²/7 weeks


Related Questions

In comparing different job opportunities, you found that firm A will start your salary at
RM25000 per year and guarantee you a raise of RM1200 each year while firm B will start
your salary at RM28000 per year but will guarantee you a raise of RM900 each year.
(a) In what year of service the yearly salary from both firm will be the same?
(b) In what year of service the total salary from both firm will be the same?
(c) Hence, state the firm for which you should choose if you plan to work for 25 years.

Answers

Answer: the answer i think is c

(HELP ASAP) Maria records her distance from home over time. The values are shown in the table below. Find her average speed over the first 4 hours.

Answers

Answer:

Step-by-step explanation:

Average=total distance/totaltime

=60+110+180+220/1+2+3+4

=570/10

=57miles/hour

16.56 divided by 0.08=

Answers

Answer:207

Step-by-step explanation:

Choose the option that best completes the sentence.
The amount of energy it takes to lift a box might be a function of:
O A. the weight of the things inside the box.
O B. where the box was shipped from.
O c. the day of the week the box is being lifted.
D. the color of the box.

Answers

A. The weight of the things inside the box

The correct sentence will be;

⇒ The weight of the things inside the box.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The sentence is,

''The amount of energy it takes to lift a box might be a function of;''

Now,

Since, The sentence is,

''The amount of energy it takes to lift a box might be a function of;''

We know that;

The amount of energy it takes to lift a box might be a function of the weight of the things inside the box.

Thus, The correct sentence is;

⇒ The weight of the things inside the box.

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solve the equation
what does x equal to
46+x÷6−21=25+6

Answers

Answer:

×=36

Step-by-step explanation:

46+1/6X-21=31

25+1/6X=31

1/6X=31-25

1/6X=6

X=36

Write the value of k for which the system of equations x+y-4=0 and 2x+ky-3=0 has no solution.
A. k=2
B. k=-2
C. k=1/2
D. k=-1/2


Do this.... Well it is easy.....


if you done this one I will ask question from physics


Thank You.... ✧༺♥༻✧

Answers

Answer:

c k=1\2......................

If (7^ 0)=1what are the possible values of x

Answers

Answer: 1

Explanation: anything to the power of 0 is 1 so if it is x to the power of 0 it would be 1

Answer: I would say that any number

Step-by-step explanation:

I think so because any number to the 0 power is going to be 1.

For example: 6^0=1 21^0=1

Hope it helped!! ;)

HELP! Due in 10 mins! Pls I rlly need this!!!

Answers

B, 12.6 because on the chart in the “f” column, next to -4.5 is 12.6

Please help with this problem. Thanks.

Answers

Answer:

Acute, angle C = 13

Step-by-step explanation:

replace x with 9

multiply 12(9) = 108

subtract 108 -17 = 91

divide 91 by 7 = 13

[tex]m[/tex]∠[tex]C=13[/tex] so its acute

Can anyone help me with my algebra homework please ?

Answers

Answer:

She will practice 2.5 for week four

Step-by-step explanation:

The table is going by 0.5 so I added 0.5 +2 =2.5

Choose the best description of the following number 18

Answers

Answer:

4.243

step by step explanation:

Hamburgers come in packs of 20, while buns come in packs of 12 what is the least number of packs you should buy in order to have the same numbers of hamburgers and buns?

Answers

the answer would be 3 packs of hamburgers and 5 packs of buns.



hope this helps!

Anyone ? And plz explain how

Answers

Answer:

Step-by-step explanation:

The formula for the area of a circle is A=πr²

r=6cm in this case

is 5x-7+3x and 3x-7+5x equivalent

Answers

Answer:

yes

Step-by-step explanation:

5x-7+3x =8x-7

3x-7+5x=8x-7

Since both result are the same, hence the functions are equal

Given the functions 5x-7+3x and 3x-7+5x, we are to check if the functions are equal.

For the function

5x-7+3x

= 5x+ 3x - 7

= 8x - 7

For the function 3x - 7 + 5x

Collect the like terms

3x + 5x - 7

8x - 7

Since both results are the same, hence the functions are equal

Learn more here: https://brainly.com/question/11496139

Find 60 percent of 199?

Answers

Answer: 79.60%, difference is 119.40

Step-by-step explanation:

Answer:

119.4

Step-by-step explanation:

199/100=1.99

1.99*60=119.4

Can someone help me with this question?

Answers

Answer:

6×2/5 --> greater than 1

1×3/8 --> less than 1

4×1/4 --> equal to 1

5×3/4 --> greater than 1

2×1/2 --> equal to 1

3×1/3 --> equal to 1

Step-by-step explanation:

6×2/5 = 12/5 = 2 2/5

1×3/8 = 3/8

4×1/4 = 1

5×3/4 = 23/4 = 5 3/4

2×1/2 = 1

3×1/3 = 1

What part of 15 is 10?

Answers

Answer:

2/3

Step-by-step explanation:

10/15=2/3

The 10 is 2/3 part of 15 by dividing common factor that is 5.

What is simplest form ?

In mathematics, the simplest form is the fraction that has the smallest equivalent value.

Here, the given fraction is :

10/15 which when converting to smallest equivalent value by dividing common factor that is 5 :

10/15 = 2/3

Therefore, the 10 is 2/3 part of 15.

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data was collected ​

Answers

ok? what data?? i need context

Please help me! Find the sale price

Answers

Answer:

sale price is $104

Step-by-step explanation:

Given the equation in the problem S=P-0.20P:S = P - 0.20PS = (130.00) - (0.20 · 130.00)S = 130-26S = $104

Answer:

$104.00

Step-by-step explanation:

So we know that in the equation:

S = P - 0.20P

P is the original price and S is the sale price, which is also the original price reduced by 20%.

We are also given that the original price of a digital media player is $130.00.

We are asked to find the sales price of that digital media player. To do this, we can plug in $130.00 for P in the given equation, since it is the original price of the digital media player, and solve for S, the sales price:

S = 130 - (0.20)(130)

S = 130 - 26

S = 104

So now we found the sales price of the digital media player, which is $104.00.

I hope you find my answer helpful.

One rectangle is divided into 4 parts how much is one part

Answers

Obviously 1/4.
Thank you!

This question is unanswerable unless the answer is 1/4 rectangle.

Question 3 of 8
Which of the following are measurements for rectangles that are similar to a
rectangle with a width of 10 and a length of 20? Check all that apply.
A. 17 and 34
B. 2.5 and 6
O C. 15 and 30
0 D. 14 and 30
O E. 5 and 10

Answers

C and E are the corrects answers
C and E are the right answers.

It cost Mila $5.00 to send 125 text messages. What is the cost of sending text messages, in dollars per text?

Answers

Answer:

0.04 dollars per text

Step-by-step explanation:

5 dollars divided by 125 texts is equal to 0.04 dollars per text. SO just do 5/125 to get your answer

answer is 0.04 in text

PLEASE HELP FAST
The city council budgeted $536 to buy new garbage cans. If each garbage can costs $67, how
many garbage cans will the city be able to buy?
garbage cans
Submit

Answers

Answer:8 garbage cans

Step-by-step explanation:

The budget is $536 and each garbage can is $67 so you need to divide $536 by $67 and the answer is 8.

One hundred four and twelve hundredths ___ One hundred four and two thousandths

Answers

Answer:

104.12 > 104.002

Step-by-step explanation:

your cell phone plans costs$34.99 per month plus $0.11 for each text message you send or receive you have at most $40 to spend on your cell phone bill what is the maximum number of text messages that you can send or receive next month ?

Answers

The maximum number of text messages that you can send or receive next month Next month, you can send or receive up to 45.54 text messages in total.

What is maximum in mathematics?

In mathematics, a point at which a function's value is greatest. If the value is greater than or equal to all other function values, it is an absolute maximum. If it is merely greater than any nearby point, it is a relative, or local, maximum

Considering the information provided;

Given that the monthly expense is $34.99

and $0.11 for each text as well (sent or received)

Suppose y is the whole cost.

Set x as the quantity of text.

The test messages make up the difference between the cost of the plan and the $40 you must spend, which is represented by the equation

4034.99=5.01

in the model for the overall cost,

y=34.99+0.11x.

Count the number of messages you can send, you must divide.

5.01÷0.11

=45.54

The maximum number of messages is 45

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Need help on this question please

Answers

Answers:x = 13 and y = 11

===========================================================

Explanation:

Check out the diagram below. I've added in the label (4x+13) degrees to the angle adjacent to the (9x-2) degree angle. This is valid due to corresponding angles being congruent when we have parallel lines like this.

The two angles form a 180 degree straight angle

(4x+13) + (9x-2) = 180

4x+13 + 9x-2 = 180

(4x+9x) + (13-2) = 180

13x + 11 = 180

13x+11-11 = 180-11 .... subtracting 11 from both sides

13x = 169

13x/13 = 169/13 .... dividing both sides by 13

x = 13

We can verify this by noticing that

4x+13 = 4*13+13 = 65

9x-2 = 9*13-2 = 115

So, (4x+13)+(9x-2) = (65)+(115) = 180, showing the two angles are supplementary.

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

The angles (9x-2) and (6y-1) are also a linear pair. They are adjacent and supplementary

Let's use x = 13 to find the value of y

(9x-2) + (6y-1) = 180

9x-2+6y-1 = 180

9x+6y-3 = 180

9*13+6y-3 = 180 .... plug in x = 13

117+6y-3 = 180

6y+114 = 180

6y+114-114 = 180-114 .... subtract 114 from both sides

6y = 66

6y/6 = 66/6 ...... divide both sides by 6

y = 11

To help confirm,

6y-1 = 6*11-1 = 65

which adds onto the (9x-2) = 115 degree angle to get 180.

-----------

Side note: as an alternative, you can solve 4x+13 = 6y-1 to get the same y value. This is because alternate exterior angles are congruent when we have parallel lines like this.

if x=3 and y= 2 cm what is the perimeter of the plygon

Answers

Answer:

where is the image then i will comment the ansewr thanks

Step-by-step explanation:

Answer:

99

Hope this helps you guys!

6x4y 12xy2 6x5y3

What is the greatest common factor (GCF) of the monomials shown above?

Answers

Answer:

6xy

Step-by-step explanation:

GCF of the given monomials consists of 3 parts:

Constant coefficient = 6, 12, 6 ⇒ 6Variable x = degree 4, 1 and 5 ⇒ degree 1 Variable y = degree 1, 2 and 3 ⇒ degree 1

Combined all, the greatest common factor is 6xy

6x⁴y = 6xy * x³12xy² = 6xy * 2y 6x⁵y³ = 6xy* x⁴y²

4a=23 Solve the equation. 4a=23 a=

Answers

Answer:

4a=23

4a/4 = 23/4

a=5.75

Step-by-step explanation:

Explain what is wrong with the following (3 - 5)(4) = 3(4) - 5

Answers

Answer:

the equation does not proove

Step-by-step explanation:

l.h.s

(3-5)(4)

12-20

-8

r.h.s

3(4)-5

12-5

7

therefore, l.h.s is not equal to r.h.s so the equation is wrong

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