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3 years ago

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

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photoshop1234 [79]

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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:

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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

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3600 = c²

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

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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>

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3 years ago

Read 2 more answers

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ValentinkaMS [17]

Answer:

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Step-by-step explanation:

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3 years ago