1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Free_Kalibri [48]
4 years ago
8

Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14 weeks, but a river that can

fill the lake in 20 weeks is replenishing the lake at the same time. How many weeks does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed.
Mathematics
1 answer:
Margarita [4]4 years ago
4 0

Answer:\frac{140}{3} weeks

Step-by-step explanation:

Given

It takes 14 weeks to empty a lake

also it takes 20 weeks for a river to fill the lake

Part of lake empty in 1 week =\frac{1}{14}

Part of lake filled in 1 week is =\frac{1}{20}

And if both works simultaneously then

\frac{1}{14}-\frac{1}{20}=\frac{10-7}{140}

=\frac{3}{140}

therefore it takes \frac{140}{3} weeks to fill it

You might be interested in
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
liubo4ka [24]

Answer:

1) 20.9

2) 896

3) 21

Step-by-step explanation:

1) 5.6÷2^3+(12.75+7.45)

---> 12.75 + 7.45 = 20.2

5.6 ÷ 2^3 + 20.2

--> Simplify 2^3 to 8

5.6 ÷ 8 + 20.2

--> 5.6 ÷ 8 = 0.7

0.7+20.2

--> Simplify

20.9

2) 4^3 × (0.6 +3.6) ÷ 0.3

---> 0.6 + 3.6 = 4.2

4^3 * 4.2 ÷ 0.3

---> 4^3 = 64

64 * 4.2 ÷ 0.3

--> 64 * 4.2 = 268.8

268.8 ÷ 0.3

--> 268.8 ÷ 0.3 = 896

896

3) 2^4 + (2.75 +1.75) ÷ 0.9

--> 2.75 + 1.75 = 4.5

2^4 + 4.5 ÷ 0.9

--> 2^4 = 16

16 + 4.5 ÷ 0.9

--> 4.5 ÷ 0.89 = 5

16 + 5

--> Simplify

= 21

8 0
2 years ago
How do I create a flow chart
lesantik [10]
<span>the answer is: Insert a canvas. The easiest way to create a flowchart in Word is to first create a canvas. ... <span>Enable the grid. Using a grid will allow you to create uniform shapes. ... </span><span>Create shapes. With the canvas active, select the Insert tab and click the Shapes menu. ... </span><span>Add text. ... </span><span>Connect the shapes.</span></span>
3 0
4 years ago
Suppose f(x) is continuous on [2,8] and −4≤f′(x)≤5 for all x in (2,8). Use the Mean Value Theorem to estimate f(8)−f(2).
bazaltina [42]
<span>2≤x≤8</span> <span>−4≤<span>f′</span>(x)≤5</span> f is continuous in differentable on [2,8] so we know there is c btw 2 and 8 such that <span><span>f′</span>(c)=<span><span>f(8)−f(2)</span><span>/8−2</span></span></span> And we know <span>−4≤<span>f′</span>(c)≤5</span> => we have <span>−4≤ <span><span>f(8)−f(2)</span><span>/8−2</span></span> ≤<span>5</span></span>
6 0
3 years ago
If Cody is draining his hot tub which holds 1,400 gallons of water at a rate of 27 gallons a minute, what impact will it have on
leva [86]
After 18 minutes there will be 486 gallons of water drained.
3 0
3 years ago
Read 2 more answers
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of mil
Alex Ar [27]

Answer:

<h2>2.5cup of milk</h2>

Step-by-step explanation:

Step one:

we are told that the ratio of milk to flour is 1.5cups to 3 cups

in other words, to prepare cake we need 1.5 cup of milk and 3 cups of flour

if we use 5 cups of flour we can balance up using the relation below

      1.5cups of milk require 3 cups of flour

      x cups of milk require 5 cups of flour

cross multiply we have

x=1.5*5/3

x=7.5/3

x=2.5cup of milk

6 0
3 years ago
Other questions:
  • What is the value of a when we rewrite (6/17)^9 x as a^x
    8·1 answer
  • I need to know what is x ..................
    13·1 answer
  • A team has 3 wins for every loss they loss games how many did they win??
    14·1 answer
  • Circle O has a circumference of approximately 250π ft. Circle O with diameter d is shown. What is the approximate length of the
    15·2 answers
  • Classify the following number as rational or irrational 8\5,pi,0,1,4.466...,-6,2
    6·1 answer
  • The area of a rectangular field is 5695 m².
    10·1 answer
  • Michelin Tires would like to estimate the average tire life of its Latitude Tour tire in terms of howmany miles it lasts. Assume
    9·1 answer
  • Find the measure of the indicated angle.
    10·1 answer
  • Plsss help with this question pls with whole procedure pls help ​
    12·1 answer
  • A veterinarian predicted that the weight of a newborn puppy would be 1.5 pounds. When the dog gave birth, the newborn weighed 2
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!