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
fgiga [73]
3 years ago
10

Worker A can a task in 9 hours while worker B can complete the same task in 4 hours. How long (in hr) would it take the workers

to complete the task together? ( Enter an exact number as an integer, fraction, or decimal.)
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
6 0

Answer:   \bold{\dfrac{36}{13}\ hours}

<u>Step-by-step explanation:</u>

Worker\ A: 1\ job\ in\ 9\ hours=\dfrac{1}{9}\\\\Worker\ B: 1\ job\ in\ 4\ hours=\dfrac{1}{4}\\\\Total: 1\ job\ in\ x\ hours=\dfrac{1}{x}\\\\\\Worker\ A+Worker\ B = Total\\\\\dfrac{1}{9}+\dfrac{1}{4}=\dfrac{1}{x}\\\\\dfrac{1}{9}(36x)+\dfrac{1}{4}(36x)=\dfrac{1}{x}(36x)\\\\4x + 9x = 36\\\\13x = 36\\\\.\ x=\dfrac{36}{13}\\\\.\quad =2\dfrac{10}{13}\ hours

You might be interested in
What is the simplified form of i ^32?<br> A. -i<br> B. 1<br> C. i <br> D. -1
ElenaW [278]

divide exponent by 4

since the remainder is zero, the equation can be rewritten as i^0 and any number to the 0 power is 1

5 0
3 years ago
Read 2 more answers
The first term in a geometric sequence is 12. The common ratio is 3. Which term is 516,560,652?
STALIN [3.7K]
Its 17 th term. Hope it helps
6 0
3 years ago
(50 Points Please help)
Elina [12.6K]

Answer:

A. Length of a Tour Bus                       ↔     #2.      1.1 × 10¹ meters

B. Width of an apple                             ↔      #3.     4 × 10⁰ centimeters

C. Distance from Earth to a Satellite    ↔    #6.     8 × 10² kilometers

D. Thickness of a human hair               ↔     #5.      9 × 10¹ micrometers

Step-by-step explanation:

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10 meters = 11 meters. Thus, this is a reasonable length.

B. Width of an apple.  

The most appropriate unit to measure the width of an apple should be centimeter. It certainly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4 centimeters.

C. Distance from Earth to a Satellite

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is nonseasonal (too big).

The number in the box #6 is  8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus,  8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

D. Thickness of a human hair

Of course, kilometers, meters, centimeters and even millimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ millimeters.

In the internet you can find that diameter of the human hair is in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement for the thickness of a human hair.

5 0
3 years ago
Read 2 more answers
Exercise science researchers collecting data within their state noticed that teens who spend more time streaming videos spend le
Olin [163]

Answer:

It is (B) ED2021

Explanatory variable: time spent streaming videos

Response variable: time spent exercising

4 0
3 years ago
What are the measures of an Anemometer
Sav [38]
WOW THIS IS EASY IT C
3 0
4 years ago
Other questions:
  • The diameter d in inches of a rope required to lift a weight of w tons is given by the function d = 10w/ π . How much weight can
    12·2 answers
  • What is the equation of the line that passes through (2, -7) and (-1, 2)?
    15·1 answer
  • In algebra please help thank you
    8·1 answer
  • Find the area of the parallelogram shown below.
    9·1 answer
  • Explain how to simplify the expression (-8)+(-3)+(-4)(7)/14+9(-2). Show the updated expression after each step you take.
    14·1 answer
  • What else would need to be congruent to show that ABC = XYZ by SAS?
    9·1 answer
  • Solve the inequality, enter it in interval notation , 6x+3&lt;8(8x+6)+3
    5·1 answer
  • Last month you went on three hikes. one hike was2 3/4 miles long one was 1 1/2 miles long and was 3 3/4 miles long. in decimal h
    9·2 answers
  • What are the missing operations?
    15·1 answer
  • A person standing 154 feet from the base of a church observed the angle of elevation to the church's steeple to be 25∘. How tall
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!