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
zubka84 [21]
3 years ago
13

John, Rick, and Molli can paint a room working together in 6 hours. Alone, John can paint the room in 12 hours. If Rick works al

one, he can paint the room in 15 hours. Write an equation comparing the group rate to the sum of the individual rates. Then find how long it will take Molli to paint the room if working alone.
Mathematics
1 answer:
Tresset [83]3 years ago
4 0

Answer:

\dfrac{1}{12}+\dfrac{1}{15}+\dfrac{1}{x}=\dfrac{1}{6}

60 hours

Step-by-step explanation:

John - 12 hours

Rick - 15 hours

Molli - x hours

Together - 6 hours

Each of them can paint:

John - \frac{1}{12} of a room per hour

Rick - \frac{1}{15} of a room per hour

Molli - \frac{1}{x} of a room per hour

Together - \frac{1}{6} of a room per hour

So the equation is

\dfrac{1}{12}+\dfrac{1}{15}+\dfrac{1}{x}=\dfrac{1}{6}

Solve this equation:

\dfrac{1}{x}=\dfrac{1}{6}-\dfrac{1}{12}-\dfrac{1}{15}\\ \\\dfrac{1}{x}=\dfrac{10-5-4}{60}=\dfrac{1}{60}\\ \\x=60

Molli can paint the room in 60 hours.

You might be interested in
What is the common ratio of the sequence?<br> -2, 6, -18, 54,...
marta [7]

Answer:1:3

Step-by-step explanation:

4 0
3 years ago
What is the result when −2/3 subtracted from −14/15?
disa [49]

Step-by-step explanation:

14/15 - 2/3 =

14/15 and 2/3 lcm is 15

so 14/15 becomes 14/15

- 2/3 become 10/15

15÷5=3 and 10÷5=2

so 14/15

-10/15=4/15

14-10 = 4

answer is 4/15 and since 15 can't be divided by 4 equally it is in simplest form at 4/15

7 0
2 years ago
Look at points C and D on the graph:
anyanavicka [17]
I think C Tell me if I’m wrong
7 0
3 years ago
Read 2 more answers
It's candy time! Suppose 5 friends go out candy collecting. Starting out, Ms. Gleason gave each of them 12 pieces of candy. Then
sdas [7]

Answer:

6 hours

Step-by-step explanation:

First, since they all collected 510, you divide 510 by 5, to figure out how much each person got.

You then know that each of them got 102 candies, so now, you subtract 12 from from 102, since the teacher gave them that much in the beginning.

You're left with 90, so last step is to divide 90 by 15, since they collect 15 every hour, which you get left with 6. Meaning they collected candies for 6 hours

8 0
2 years ago
Read 2 more answers
You spin the spinner shown below once. Each sector shown has an equal area.
a_sh-v [17]

Answer:  P(not shaded sector) = 0.50

Step-by-step explanation:

Since we have given that

Number of shaded parts = 6

Number of unshaded parts = 6

Total parts = 6+6 = 12

So, Probability of getting not shaded sector is given by

\dfrac{6}{12}\\\\=\dfrac{1}{2}\\\\=0.50

Hence, P(not shaded sector) = 0.50

8 0
3 years ago
Other questions:
  • 2.21586210 rounded to four decimal places
    11·1 answer
  • In which quadrant does the point (–10, 9) lie?
    7·2 answers
  • Choose the most appropriate translation of the English sentence.
    10·1 answer
  • Alvin is 6 years younger than elga. the sum of their ages is 92. what is elga's age?
    7·2 answers
  • Matt is standing on top of a cliff 305 feet above a lake the measurement of the angle of depression to a boat on the lake is 42
    13·1 answer
  • 2b^2x^2+3a^2y^2=a^2b^2 for b^2
    6·1 answer
  • The odds against an event are 7 to 1. find the probability that the event will occur.
    5·1 answer
  • Why are people on this app racist? Actually, why is anyone racist in general in 2021?
    7·1 answer
  • Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is pai
    5·2 answers
  • Henri built a lantern in the shape of a square pyramid. He wants to cover the entire pyramid with fabric. How much fabric will h
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!