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
Dominik [7]
3 years ago
12

Suppose that 5 workers can complete a certain task in 9 days. If there are 15 workers, how many days would

Mathematics
1 answer:
Marat540 [252]3 years ago
3 0

Answer:

3 days would take the 15 workers to finish the same task

Step-by-step explanation:

  • In the questions of doing a job, the number of workers and the time are in an inverse proportional because if the number of workers is increased, then the time of finishing the job will decrease and vice versa
  • The relation between the number of workers and the time to finish any job is N × T = K, where, N is the number of workers, T is the time to finish the job, and K is constant

Let us use this relation to solve the question

∵ 5 workers can complete a certain task in 9 days

∴ N = 5 workers and T = 9 days

→ By using the relation above

∴ 5 × 9 = k ⇒ (1)

∵ If there are 15 workers will make the same task

∵ They can finish it in x days

∴ N = 15 workers and T = x days

→ By using the relation above

∴ 15 × x = k ⇒ (2)

∵ k is the same task, then equate the left sides of (1) and (2)

∴ 15 × x = 5 × 9

∴ 15x = 45

→ Divide both sides by 15 to find x

∴ x = 3 days

∴ 3 days would take the 15 workers to finish the same task

You might be interested in
∫<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bxdx%7D%7B%28x%5E%7B2%7D%2B4%29%5E%7B3%7D%20%7D" id="TexFormula1" title="\frac{xdx}{
photoshop1234 [79]

Substitute u=x^2+4 and du=2x\,dx. Then the integral transforms to

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}

Apply the power rule.

\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C

Now put the result back in terms of x.

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}

3 0
2 years ago
A construction company is hired to build a wheelchair ramp for a restaurant. The ramp connects the handicap parking space (point
makvit [3.9K]

Answer:

1. diagram in the attachment

2. AB = 32.3 ft

Step-by-step explanation:

2. from the diagram:

sin \theta = \frac{opposite}{hypotenuse}\\sin (8) = \frac{4.5}{AB} \\AB = \frac{4.5}{sin(8)} \\AB = \frac{4.5}{0.1392} \\AB = 32.33ft

4 0
3 years ago
a whisper volume as a room that allows two people to stand on opposite side of the template luckily shape long and hear each oth
Yakvenalex [24]

Answer:  120 ft

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

The Ellipse equation is:   \dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1       where

  • (h, k) is the center
  • "a" is the horizontal radius
  • "b" is the vertical radius
  • c is the distance from the center to the foci: |a² - b²| = c²

Given: horizontal diameter = 122  →  horizontal radius = 61 = a

          vertical diameter = 22  →  vertical radius = 11 = b

Foci (c):   61² - 11² = c²

            3721 - 121 = c²

                  3600 = c²

                    ±60 = c

Let (h, k) = (0, 0)

Then the foci are located at -60 and +60.

The distance between them is 60 + 60 = 120

3 0
3 years ago
What is the value of x, 6x+2=180
Lesechka [4]

Answer: x=\frac{89}{3}, or 29\frac{2}{3}

\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\6x+2-2=180-2\\6x=178

\mathrm{Divide\:both\:sides\:by\:}6\\\frac{6x}{6}=\frac{178}{6}\\

x=\frac{89}{3}

<em>Hope this helps and have a great day!!!</em>

3 0
3 years ago
Read 2 more answers
Matt is saving money to purchase his first truck. He already has $1300 saved from working summer jobs. During the school year he
ValentinkaMS [17]

Answer:

1300 + 45x

Step-by-step explanation:

i hope this helps

5 0
3 years ago
Other questions:
  • HELP I NEED HELP !!!
    13·1 answer
  • Cube root<br><img src="https://tex.z-dn.net/?f=%20-%204%20%5Csqrt%5B3x%5D%7Bx%20%2B%2025%20%3D%2035%7D%20" id="TexFormula1" titl
    12·1 answer
  • Which must be true ?
    9·1 answer
  • You use 6 6 gallons of water on 20 plants in your garden. At that rate, how much water will it take to water 30 plants?
    8·1 answer
  • The expression 4h-3 factored
    8·2 answers
  • Find the mean absolute deviation of the set of data. 8, 7, 4, 6, 6
    6·1 answer
  • Can you help me on questions numbers 8 and 9 ASAP?
    11·1 answer
  • PLEASE HELP IM BEING TIMED
    9·2 answers
  • Find the slope of the graph
    9·2 answers
  • What type of association does the graph show between x and y?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!