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
Fantom [35]
2 years ago
7

Twenty caravans are traveling across the desert one day apart. The first caravan reached the oasis, and the camels drank half of

the water in the pool. On the second day, the second caravan reached the oasis, and the camels drank one-third of the water that was left. On the third day, the camels in the third caravan drank one-quarter of the water that was left. On the first day, the pool contained 1050 m³ of water. How much water was left after the 20th caravan passed through?​
Mathematics
1 answer:
horsena [70]2 years ago
5 0

The water that was left after the 20th caravan passed through the pool is 50 m³. Using fractions, the required value is obtained.

<h3>What are fractions?</h3>

A fraction is a rational number that has the required part and whole part of an object.

<h3>Calculation:</h3>

It is given that,

The total volume of the water in the pool is W = 1050 m³

Twenty caravans are traveling across the desert one day apart.

1) On the first day, the camel consumed half of the water in the pool.

Then we can write, water consumed by the camels on the first day = 1/2 × W

So, the remaining water left in the pool = W - W/2 = W/2 ...(i)

2) On the second day, the camel consumed one-third of the water in the pool.

Then, water consumed by the camels on the second day = 1/3 × W/2 = W/6

So, the remaining water left in the pool = W/2 - W/6 = 4W/12 = W/3 ...(ii)

3) On the third day, the camel consumed one-quarter of the water in the pool.

Then, water consumed by the camels on the third day = 1/4 × W/3 = W/12

So, the remaining water left in the pool = W/3 - W/12 = 3W/12 = W/4 ...(iii)

From (i), (ii), and (iii) we can observe that the denominator of the remaining water volume is increased by 1 every next day.

I.e., the general form we can write here is W/(n + 1)

Where W - the volume of the water; n - the number of days it reaches the pool.

Thus, on the 20th day, the camels will consumed the remaining water. I.e.,

The remaining water left in the pool = W/(20 + 1) = W/21

But we have W = 1050 m³

On substituting,

The remaining water left in the pool after the 20th caravan passed through = 1050/21 = 50 m³

Learn more about fractions here:

brainly.com/question/1052420

#SPJ9

You might be interested in
The value of a motorbike depreciates by 32% per year. Work out the current value of a motorbike bought 5 years ago for £3600
DaniilM [7]
\bf \qquad \textit{Amount for Exponential Decay}&#10;\\\\&#10;A=P(1 - r)^t\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{initial amount}\to &3600\\&#10;r=rate\to 32\%\to \frac{32}{100}\to &0.32\\&#10;t=\textit{elapsed time}\to &5\\&#10;\end{cases}&#10;\\\\\\&#10;A=3600(1-0.32)^5\implies A=3600(0.68)^5\implies A\approx 523.41601
3 0
3 years ago
Number 8 please help look at the picture
kkurt [141]
You have to convert kilograms to grams or grams to kilograms. Conversion is; Kilo Hecto Deca (base-which in this case is grams) deci centi milli.
5 0
3 years ago
Solve the inequality<br> 3 + 9x &gt;4(x+7)<br> pls help
alexandr402 [8]

Answer:

x<5

Step-by-step explanation:

the greater sign will firstly be changed to = for better solving so we obtain

3+9x=4(x+7)by opening bracket

3+9x=4x+28

9x-4x=28-3

5x=25

divide all through by 5x

we obtain

x=5

the greater sign change here

which is x<5

8 0
3 years ago
Mason compares two plans for an online book club.
horsena [70]

Answer:

Book clubs in the classroom: 10 tips for success

4/19/201746 Comments

Picture

Whether you’re considering a classroom book club for the first time, or are already guiding your students through their third book this year, here’s a list of benefits and some tips for success you can employ right away!

NYC’s District 75 published their Middle School Units of Study, Developing Autonomy when Engaging with Literature, online. In it they list some of the benefits of book clubs in the classroom:

Book clubs:

Promote a love for literature and a positive attitude towards reading;

Reflect a student-centered model of literacy (employing the Gradual

Release of Responsibility);

Encourage extensive and intensive reading;

Invite natural discussions that lead to student inquiry and critical

Thinking;

Support diverse responses to text;

Foster interaction, cooperation and collaboration;

Provide choice and encourage responsibility;

Expose students to literature from multiple perspectives; and

Nurture reflection and self-evaluation.

Thoughtfully planned book clubs position learning in the hands of the students and provide discussion tools students can use as they work out their responses to the book.

We provide approaches to professional development that bridge theory and practice to generate solutions that work for a multitude of schools. With that bridge in mind, enjoy the following as you think through your classroom’s book club possibilities!

Step-by-step explanation:

pls brainlieste

6 0
2 years ago
Determine whether each of the following functions is even, odd, or neither even nor odd.
Illusion [34]

Answer:

A.) Even.

Step-by-step explanation:

If a function is an even function, then

F(-x) = f(x)

Also, if a function is an odd function, then, f(-x) = -f(x)

You are given the below function

f(x) = 1 + 3x^2 − x^4

Let x = 2

Substitute 2 for x in the function

F(x) = 1 + 3(2)^2 - (2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Also, Substitute -2 for x in the function

F(x) = 1 + 3(-2)^2 - (-2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Since f(-x) = f(x), we can conclude that

F(x) = 1 + 3x^2 - x^4 is even

5 0
3 years ago
Other questions:
  • Which shows <br> Will marked whos the brainliest !
    14·1 answer
  • Research biologist released 300 chicken turtles into a wetland with hopes of repopulating the habitat. After 7 years, the resear
    14·1 answer
  • I really need help with this question in math so if anyone could please answer correctly that would be great
    5·1 answer
  • Is -13 a natural number whole number integer rational number irrational number or a real number
    9·1 answer
  • In the expression ax+bx,a is a decimal and b is a fraction. How do you decide whether to write a as a fraction or b as a decimal
    7·1 answer
  • T= 3x + 4y<br> Toe ons<br> (a) Work out the value of I when x = 5 and y=-7
    10·1 answer
  • A company that recently changed it slogan is hosting an optional big company picnic.Some members of the marketing team are eatin
    14·1 answer
  • 32
    5·1 answer
  • Use the drop-down menus to identify the parts of the pyramid.
    10·1 answer
  • Help i will mark Brainliest PLZZ​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!