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
kvv77 [185]
3 years ago
15

One watering system needs about three times as long to complete a job as another warning system when both systems operate at the

same time, the job can be completed in nine minutes. How long does it take in system to do the job
Mathematics
1 answer:
algol133 years ago
6 0

Answer:

One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

Step-by-step explanation:

Given:

Both the system can complete the job = 9 minutes

We need find the time required by each system to do the job.

Solution:

Let the time required by another watering system to complete the job be 'x' mins.

Now given:

One watering system needs about three times as long to complete a job as another watering system.

Time required by one watering system = 3x

Rate to complete the job by another watering system = \frac{1}{x}\ job/min

Rate to complete the job by One watering system = \frac{1}{3x}\ job/min

Rate at which both can complete the job = \frac{1}{9}\ job/min

So we can say that;

Rate at which both can complete the job is equal to sum of Rate to complete the job by another watering system and Rate to complete the job by One watering system.

framing in equation form we get;

\frac{1}{x}+\frac{1}{3x}=\frac19

Now taking LCM to make the denominator common we get;

\frac{1\times3}{x\times 3}+\frac{1\times1}{3x\times1}=\frac19\\\\\frac{3}{3x}+\frac{1}{3x}=\frac19\\\\\frac{3+1}{3x}=\frac{1}{9}\\\\\frac{4}{3x}=\frac{1}{9}

By Cross multiplication we get;

4\times9 =3x\\\\3x =36

Dividing both side by 3 we get;

\frac{3x}{3}=\frac{36}{3}\\\\x=12\ min

Time required by One watering system = 3x =3\times 12 =36\ min

Hence One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

You might be interested in
In one week, Callum collected 1246 rocks from the seashore. Every day, he collected the same number of rocks. In a single day, h
Snezhnost [94]

Answer:

178

Step-by-step explanation:

1246 over a week, (1246/7) in a day. 178 rocks a day

6 0
2 years ago
A bridge is 3911.1 meters long. Which of the following best describes the length of the bridge in kilometers?
Angelina_Jolie [31]

Answer:

3.9111 km

Explanation:

The length in kilometers is equal to the meters divided by 1,000. So, if you divide 3911.1 by 1,000 that equals 3.911. You move the decimal point to the left 3 times based on the number of zeros.

3 0
2 years ago
1220000 scientific notation
Nutka1998 [239]

Answer:

1.22 x 10^{6}

Step-by-step explanation:

1,220,000 would be...

1.22 x 10^6

4 0
3 years ago
Read 2 more answers
Marybeth opened her bank account with $125. She spends $10 every 3 weeks. Write an equation that represents the balance of her a
Fantom [35]

Answer:if she spends $10 dollars every 3 weeks it will take her 45 weeks to have her only $5 dollars left in her bank account

8 0
3 years ago
Read 2 more answers
Listed below are the salaries, in $000, for a sample of 15 chief financial officers in the electronics industry.
Tcecarenko [31]

Answer:

a)

Mean = sum of all numbers in dataset / total number in dataset

Mean = 8130/15 = 542

Median:

The median is also the number that is halfway into the set.

For median, we need to sort the data and then find the middle number which in our case is 546. Below is the sorted data

486  516 523  523  529  534  538  546  548  551  552  558  566  574  586

Standard Deviation (SD).  Here X represents dataset and N= count of numbers in data

As per the SD formula, which is Sqrt ( sum (X_i - Meanx(X))/(N-1))

SD= 25.082

2) Formula for coefficient of skewness using Pearson's method (using median) is,

SK = 3* ( Mean (X) - Median(X))/(Standard Deviation) =  3*(542-546)/25.082 = -0.325

3) coefficient of skewness using the software method is also same which is -0.325

4 0
3 years ago
Other questions:
  • (2x^4 − 3x^3 − 20x − 21) ÷ (x − 3)
    12·1 answer
  • If two lines intersect in a 90° angle what can you save up lines
    13·1 answer
  • find the unit price for a 7-ounce box of cookies for $2.15. Find the answer to the nearest tenth of one cent
    7·1 answer
  • 3 πd=12 π<br> what does d equal?
    7·2 answers
  • In Exercise, use the properties of exponents to simplify the expression.<br> 32(3- 2)
    15·1 answer
  • Given that (5,6) is on the graph of f(x), find the corresponding point for the function 4f(x)
    5·1 answer
  • TRANSLATING INTO AN EQUATION. 637 is 91% of what number?*
    13·2 answers
  • How to evaluate 4(x+2−5x) when x=2
    12·2 answers
  • Write an expression to represent: 3 minus the quotient of x and 4
    10·2 answers
  • Which of the following is the domainof the given relation?{(-6, 3), (-4 ,5), (0, 0)}A {0, 4, -6}B {0, 3, 5)C {3, 4, 0}D {-6, -4,
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!