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
MAXImum [283]
3 years ago
14

A tank can be filled by one pump in 50 minutes and by another in 60 minutes. A third pump can drain the tank in 75 minutes. If a

ll 3 pumps work simultaneously, how long will it take to fill the tank? (Answer in hours)
Mathematics
1 answer:
Deffense [45]3 years ago
4 0

let's label each pump A, B, and C, just for convenience. A fills the tank by 1/50 every minute, B fills the tank by 1/60 every minute, and C drains it by 1/75 every minute. Now we can put them all into one function: t(1/50 + 1/60 - 1/75) = 1, where t = our time in minutes and 1 = the tank being full.

next, we solve for t: t = 300/7 minutes, or approximately 42.86 minutes.

You might be interested in
The temperature today was 10 degrees colder than twice yesterday's temperature, t.
Aneli [31]

Answer:  Today's temperature : 2t -10

Step-by-step explanation:

Hi, to write the expression of the statement given we have to analyze each phrase:

<em>Twice yesterday's temperature, t.</em> If t is yesterday’s temperature, twice that temperature equals 2t.

<em>The temperature today was 10 degrees colder than</em>: It means that we have to subtract 10 degrees :(-10)

Mathematically speaking:

Today's temperature : 2t -10

where t = yesterday's temperature

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
What is. 3/4x - 2/3x - 4 = 1/6x- 7<br><br> I give Brainliest!
drek231 [11]

Answer:

<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>36</u></em></h2>

Step-by-step explanation:

\frac{3}{4} x -  \frac{2}{3} x - 4 =  \frac{1}{6} x - 7

=  >  \frac{3}{4} x -  \frac{2}{3} x -  \frac{1}{6} x = 4 - 7

=  >  \frac{9x - 8x - 2x}{12}  =  - 3

=  >  \frac{ - 1}{12} x =  - 3

=  > x =  - 3 \times ( - 12)

=> <em><u>x</u></em><em><u> </u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>36</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

7 0
2 years ago
Read 2 more answers
What is the square root of -^54/6+2/3
Kay [80]
My guess is 3.109126351029605. I am not 100% sure its the correct answer you are looking for. Good luck!
8 0
2 years ago
Researchers have discovered a new genetic marker for a form of cancer. Twelve percent of the overall population carry this marke
In-s [12.5K]

Answer:

The probability that a person with the marker develops cancer is 0.0725.

Step-by-step explanation:

Let's denote the events as follows:

<em>A</em> = a person has cancer

<em>B</em> = a person carries the marker.

<u>Given:</u>

P (A) = 0.03

P (B) = 0.12

P (B|A) = 0.29

The conditional probability of an event <em>X</em> provided that another event <em>Y</em> has already occurred is:

P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}

Use the conditional probability formula to compute the probability that a person with the marker develops cancer.

P(A|B)=\frac{P(B|A)P(A)}{P(B)} =\frac{0.29\times0.03}{0.12}=0.0725

Thus, the probability that a person with the marker develops cancer is 0.0725.

3 0
2 years ago
n example 3, your friend says that there is enough information to determine the numbers of solutions of the equations $3(5x+2)=1
mr_godi [17]

The number of solutions of the equations can't be determined.

<h3>How to illustrate the information?</h3>

It should be noted an equation shows the relationship between the variables. It should be noted that the question is to find the number of solutions.

From the information, 3(5x + 2) = 15x

15x + 6 = 15x

Collect like terms

15x - 15x = - 6

0 = -6

Therefore, it can be see that the friend is incorrect as the number of solutions of the equations can't be determined.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

6 0
1 year ago
Other questions:
  • PLEASE HELP! which answer is correct??
    6·1 answer
  • A.40
    7·2 answers
  • What does x and y equal
    15·1 answer
  • What is the approximate length of arc QR? Round to the nearest tenth of a centimeter.
    6·2 answers
  • Consider the following set of vectors. v1 = 0 0 0 1 , v2 = 0 0 3 1 , v3 = 0 4 3 1 , v4 = 8 4 3 1 Let v1, v2, v3, and v4 be (colu
    12·1 answer
  • Can someone help me with this math!
    15·1 answer
  • I WILL GIVE BRAINLEIST PLS HELP
    12·2 answers
  • Please Help!!!!<br> I will give brainly
    7·1 answer
  • Supplementary angles: look at the attachment to see the question
    12·1 answer
  • The drawing below is of a regular pentagon. The measure for each interior angle in a regular pentagon is 108°. Angle A is supple
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!