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
DanielleElmas [232]
3 years ago
7

Three postal workers can sort a stack of mail in 20 ​minutes, 30 ​minutes, and 60 ​minutes, respectively. Find how long it takes

them to sort the mail if all three work together.
Mathematics
1 answer:
Step2247 [10]3 years ago
4 0

Answer: 10 minutes

Step-by-step explanation:

Given : Three postal workers can sort a stack of mail in 20 ​minutes, 30 ​minutes, and 60 ​minutes, respectively.

Let T be the time taken by all of them when they working together.

Then , we have the following equation :-

\dfrac{1}{T}=\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{60}\\\\\Rightarrow\dfrac{1}{T}=\dfrac{3+2+1}{60}\\\\\Rightarrow\dfrac{1}{T}=\dfrac{6}{60}=\dfrac{1}{10}\\\\\Rightarrow T=10

Hence, the time taken by all of them when they working together = 10 minutes.

You might be interested in
Two less than 3/2 of a <br> number (x) is no more than 5 1/5
alexandr402 [8]
3/2 of a number could be 3/2x. two less than is thus 3/2x-2. no more than means less than or up to or ≤. finally,

3/2x-2≤5 1/5
3/2x≤26/5+10/5
3/2x≤16/5
x≤16/5*2/3
x≤32/15. or x ≤ 2 2/15
5 0
3 years ago
What is the x-intercept and y-intercept of the linear equation 3x-6y=2
sukhopar [10]

Answer:

The x-intercept is 2/3 and the y-intercept is -1/3

Step-by-step explanation:

In order to find this, we need to note that the x-intercept is the value of x, when y = 0. So we plug in y = 0 and see what the x value is.

3x - 6y = 2

3x - 6(0) = 2

3x = 2

x = 2/3

The y-intercept is the opposite. It is the y value when x = 0. So we do the same with the other term.

3x - 6y = 2

3(0) - 6y = 2

-6y = 2

y = -2/6

y = -1/3

8 0
3 years ago
A salesman needed to sell a used car. He priced it at $4,500 the first day it was on the
Akimi4 [234]

Answer:

$3960

Step-by-step explanation:

12% of $4,500 is 540.

Subtracting the 12% means taking away $540 from $4,500, which gives you $3960

7 0
3 years ago
SOMEONE PLS HELP :(!!!!!!
diamong [38]
It would be C as the answers
6 0
3 years ago
If a town with a population of 10,000 doubles every 14 years, what will the population be in 42 years and is it modeled by a lin
madreJ [45]
This is an exponential function.
The starting population is: 10,000 and it doubles every 14 years.
In 42 years ( 42 : 14 = 3 ) the population doubles 3 times.
The equation ( exponential ) is :
y = 10,000 * 2^n
In this case: n = 3
y = 10,000 * 2 ^3 = 10,000 * 8 = 80,000
Answer: In 42 years the population of this town will be 80,000.
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the measure of each 3 angels
    9·2 answers
  • COULD SOMEONE HELP ME PLEASE
    6·1 answer
  • Kathie spent $45 on a fruit salad. She bought bananas, mangoes, and apples. Bananas cost $1 per pound, mangoes cost $3 per pound
    6·2 answers
  • 6(x-4)+x=5(x-2) PLEASE HELP
    5·2 answers
  • Unlike fractions find the sum 2/8+1/3=
    11·1 answer
  • What is the measurement of ABC?
    11·1 answer
  • Its due in like 13 min thx
    11·1 answer
  • What is the most specific name for a quadrilateral with one pair of parallel sides?
    13·1 answer
  • Select the correct answer.<br> What are the roots of this equation?
    6·1 answer
  • What is an equation of the line that passes through the points (6,4) and
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!