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
Fittoniya [83]
3 years ago
12

Kevin asked his trainee, Anna, to help call some of his clients to sell a newly-issued municipal bond. If he had to call all of

the clients himself, it would take Kevin six hours to complete the job. If Anna alone were to call the clients, it would take her nine hours. Working together, how long will it take Kevin and Anna to call all of the clients?
Mathematics
1 answer:
weqwewe [10]3 years ago
7 0

Answer:

3.6 hours

Step-by-step explanation:

To solve, create a Rate, Time, Work chart:

Work is rate times time. For Kevin, his work is going to equal x over 6 job. For Anna, her expression for work will equal x over 9 job.

The work is 1 job of calling all clients, so their combined work is equal to 1.  

x over 6 plus x over 9 equals 1

In the rational equation, x is the amount of time it takes Kevin and Anna to call the clients together.  With rational equations, the terms can be added together once they have common denominators.  

x over 6 plus x over 9 equals 1

fraction numerator begin display style x left parenthesis 9 right parenthesis end style over denominator begin display style 6 left parenthesis 9 right parenthesis end style end fraction plus fraction numerator begin display style x left parenthesis 6 right parenthesis end style over denominator begin display style 9 left parenthesis 6 right parenthesis end style end fraction equals fraction numerator begin display style 1 left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end style over denominator left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end fraction

fraction numerator 9 x over denominator 54 end fraction plus fraction numerator 6 x over denominator 54 end fraction equals 54 over 54

9 x plus 6 x equals 54

15 x equals 54

x equals 3.6

If Kevin and Anna work together, they can call all the clients in 3.6 hours.

You might be interested in
A Walgreens manager compared the numbers of hours different pharmaceutical technicians worked over one week. The table shows the
nataly862011 [7]
It is D because all the numbers range from 12 to 23, with no number being extremely low or high compared this range.
6 0
3 years ago
Read 2 more answers
Solve a=2b-c for b<br><br> Can someone help me
Sauron [17]

Answer:

b=\frac{a}{2} +\frac{c}{2}

Explanation:

While solving literal equations could be quite overwelhming, simply solve it by using normal equation solving methods.

For example, if you were to solve 2x + 3 = 9

You would add 3 on both sides and divide both sides by 2 to determine x.

Do the same thing for literal equations, and if in doubts, plug in numbers to check your work.

Step-by-step explanation:

For this problem, add c on both sides, we do this because we are aiming to eliminate the c from both sides.

a+c =2b

In order to find the value of b, divide both sides by 2, we do this because we want to get rid of the coefficient.

This should leave you with the answer of b=a/2 + c/2

3 0
3 years ago
A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?
serious [3.7K]

Answer:

h  = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c)  = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c)  =  (1/3) * π * r² * h

And  we have that  V(c) = 108*π

Then:

108 * π  =  (1/3) * π * r² * h                  (1)

We know diameter of the circular base is 12 units, according to that

r =  d/2     ⇒  r = 12/2     r = 6 units

Then:

108 * π  [ cubic units ]  =  (1/3) * π * (6)² * h  [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length  

Therefore:

108  =  (1/3) * 36 * h

h = ( 108* 3 )/ 36

h  = 9 units of length

7 0
3 years ago
PLEASE HELP!!!!!!!!!!AND READ ALL PLEASE
Scrat [10]
It terminates <span>9÷16=<span>.5625</span></span>
6 0
3 years ago
Read 2 more answers
Isosceles triangle ... area and y intercept comparison. WORTH 100 points !!!!
Blababa [14]

Answer:

The answer is in here.

Step-by-step explanation:

https://www.ekslkvkalkdn9uk2g2kglkkkje9jdkflw/. You might have to change some settings to get in.

4 0
3 years ago
Read 2 more answers
Other questions:
  • 5. Write the number in expanded form<br> using exponents.<br> 2,036,017
    12·1 answer
  • Find the value of Sin^-1(tan (pi/4)) a.0 b.pi c.2 d.pi/2
    5·2 answers
  • URGENT! FOR BRAINLY
    14·1 answer
  • Simplify the expression
    11·2 answers
  • The output is the cube of the input.
    11·1 answer
  • 4. A die is rolled, what is the probability that number is :<br>a. Odd ?<br>b. Even ?<br>​
    12·1 answer
  • HELP I CANT DO MATH PLEASE
    12·2 answers
  • A construction crew is building a two story house, but they have not built the staircase between the floor yet. The height of th
    15·1 answer
  • List the numbers from greatest to least .<br>-3.25, 5.6, 9, 5 5/10, -2​
    10·2 answers
  • I need this question as soon as possible. Can u please explain the answer to
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!