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
katrin [286]
3 years ago
7

The amount of time it takes p people to paint d doors varies directly with the number of doors and inversely with the number of

peopleFour people can paint 10 doors in 2 hoursHow many people will it take to paint 25 doors in 5 hours?
Mathematics
1 answer:
yanalaym [24]3 years ago
4 0

Answer:

4 people

Step-by-step explanation:

This problem is a compound rule of three problem. The variables are:

number of people, number of doors, amount of time

the amount of time increases if the number of doors decreases, but the amount of time decreases if the number of people increases.

We can solve this problem by parts (using two simple rule of three):

4 people can paint 10 doors in 2 hours

Let's first find how many people would take to paint 25 doors in 2 hours (we make the amount of hours constant, so the rule of three is between number of people and number of doors):

4 people -> 10 doors -> 2 hours

X people -> 25 doors -> 2 hours

4/X = 10/25

X = 25*4/10 = 100/10 = 10

It would take 10 people to paint 25 doors in 2 hours.

Now, we make a inverse rule of three between the number of people and amount of time:

10 people paint 25 doors in 2 hours, how many people paint 25 doors in 5 hours:

10 people -> 25 doors -> 2 hours

X people -> 25 doors -> 5 hours

10*2 = X*5

X = 20/5 = 4 people

You might be interested in
-3(x + 5) = 6 - 3(2x + 4) solve for x and show work
salantis [7]
Your answer is x = 3.

-3(x + 5) = 6 - 3(2x + 4)
-3x - 15 = 6 -6x - 12
-3x - 15 = -6 - 6x
-3x + 6x = -6 + 15
3x = -6 + 15
3x = 9
x = 3
3 0
3 years ago
Read 2 more answers
PLEASE HELP!!!! 13 points!!
IRINA_888 [86]
The answer is A 18 inches
7 0
3 years ago
Answer these 3 questions ASAP pls..
matrenka [14]
That’s the answers hope this helps.

7 0
3 years ago
Determine the discriminant of 3x2 - 5x + 4 = 0
iren [92.7K]
I thank the answer is B) 23 
4 0
3 years ago
Please help me. Very important please show work
Contact [7]
Your gonna do (LxWxH)
3 0
2 years ago
Other questions:
  • Round 389,935 to the nearest hundred thousand ​
    11·2 answers
  • Compare 9 × (11 – 4) and 3 × (11 – 4). A. 9 × (11 – 4) is three times as much as 3 × (11 – 4). B. 9 × (11 – 4) is nine times as
    7·2 answers
  • Serious inquiries only please need help
    9·1 answer
  • Which set of numbers represents the domain for the following table below
    13·1 answer
  • Yoko, Rafael, and Jim sent a total of 100 text messages during the weekend. Yoko sent 5 more messages than Jim. Rafael sent 3 ti
    12·1 answer
  • Mai skated x miles, and Clare skated 3/4 farther than that. Write an expression for the distance Clare skated. You may use fract
    13·1 answer
  • A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 432 gram setting. It
    15·1 answer
  • The cost of 5 books and 4 pens is 115. if the cost of 1 book is RS 15 ,find the cost of 7 pens​
    15·1 answer
  • The propellers on the Titanic have a radius of 23.5 ft and weigh 38 tons each. If the propellers turn at 180 rpm, what would be
    12·1 answer
  • Mrs. Barnes cuts1/2 of a piece of construction paper. She uses 1/6
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!