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erik [133]
2 years ago
6

How many workers will be needed to complete a task in 6 days, given that 8 workers can complete the same task in 9 days?

Mathematics
1 answer:
Taya2010 [7]2 years ago
5 0

Considering the simple inverse rule of three, 12 workers will be needed to complete a task in 6 days, given that 8 workers can complete the same task in 9 days.

<h3>Inversely proportional relationship</h3>

Two variables are related when a change in one of them causes a change in the other.

Two variables have an inversely proportional relationship when an increase in one variable causes the other to decrease or, analogously, a decrease in one causes the other to increase.

In other words, two magnitudes are inversely proportional when as one increases, the other decreases in the same proportion, and as the first decreases, the second increases in the same proportion.

<h3>Simple inverse rule of three</h3>

The simple inverse rule of three is used when the problem deals with two inversely proportional magnitudes where the amount of one of a magnitude corresponding to a given amount of the other magnitude must be calculated.

To carry out an inverse rule of three, it must be taken into account that if for a value A of one magnitude, there is a value B of the other magnitude, while for a value of C of the first magnitude, the second magnitude is will correspond a value of X:

A → B

C → X

So: X=\frac{AxB}{C}

<h3>Amount of workers needed</h3>

The number of people who perform a task is inversely proportional to the time it takes: a greater number of workers corresponds to less time to perform the task. Then:

9 days → 8 workers

6 days → amount of workers

So:amount of workers=\frac{9 daysx8 workers}{6 days}

<u><em>amount of workers= 12 workers</em></u>

Finally, 12 workers will be needed to complete a task in 6 days, given that 8 workers can complete the same task in 9 days.

Learn more about proportionality:

brainly.com/question/23996482

brainly.com/question/25147041

brainly.com/question/11696934

#SPJ1

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Da maths: Bruh ask google

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It’s the same distance from the second base to the first base from the second base to third-base the angle formed by the first b
Margaret [11]

Answer:

Distance of home plate to 1st base is equal to home plate to 3rd base

Step-by-step explanation:

Let's first assign each position:

A: home base

B: 1st base

C: 2nd base

D: 3rd base

The information given:

'It’s the same distance from the second base to the first base from the second base to third-base' tells us BC = CD

'the angle formed by the first base second base and Homeplate has the same measure as the angle formed by the base second base home plate' tells us angle(BCA) = angle(DCA)

Check for congruency between triangle ABC and ADC

BC = CD - side congruency (S)

angle(BCA) = angle(DCA) - angle congruency (A)

CA = CA - side congruency (S)

So triangle ABC and ADC fullfill the criteria of congruence property as SAS.

Since both triangle are congruent, another side of the triangles AB and AD must be the same too.

AB = home plate to 1st base

AD = home plate to 3rd base

Therefore we can conclude that the distance of home plate to 1st base is equal to home plate to 3rd base

3 0
3 years ago
Which of the following ordered pairs are solutions to the system of equations below?
Genrish500 [490]

Answer:

x = 43/12

y = - 35/6

Step-by-step explanation:

4x + 4y = -9

y = 2x - 13

4x + 4(2x - 13) = - 9

4x + 8x - 52 = - 9

12x = 52 - 9

12x = 43

x = 43/12

y = 2×43/12 - 13

y = 86/12 - ¹²⁾13

y = (86 - 156)/12

y = - 70/12

y = - 35/6

4 0
3 years ago
Since most stores will calculate the total price of your purchase why is it important to be able to calculate discounts
kkurt [141]

Answer:


Step-by-step explanation:

it is important because if you don't then you will be charged more than what you are supposed to pay

8 0
3 years ago
David is saving $250 to buy a bicycle. He saved $8 each week for 12 weeks. He wants to buy the bicycle in 7 more weeks. How much
ankoles [38]

Answer:

He would need to save $22 dollars each week to pay for the bike in 7 weeks.

Step-by-step explanation:

We can figure out how many he has saved up already by multiplying the number of weeks (12) by how much he saved each week ($8) which equals $96. Now we have to subtract $96 from $250 which equals $154. Now we need divide this amount by the remaining weeks until he wants to purchase his bike (7), so 154/7 which equals $22.

So he needs to pay 22 dollars each week to pay off the bike in seven weeks

7 0
3 years ago
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