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Sidana [21]
3 years ago
12

ll the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hour

s. a How many hours would this job take if the number of workers decreased by factor of 2?
Mathematics
1 answer:
Cloud [144]3 years ago
8 0

Answer:

44 hours

Step-by-step explanation:

Decreasing the people by a factor of 2 means we have 3 people

The job takes 6* 22 = 132 people hours

When we decrease the people, it will take more hours

132 people hours = 3 people * t hours

Divide each side by 3

132/3 = 3t/3

44 = t

It will take 44 hours

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The profit y (in dollars) for a business from selling x coats is represented by y=56x . Graph the equation.
Agata [3.3K]

Answer:

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given that the profit y (in dollars) for a business from selling x coats is represented by the equation

y=56x

comparing with the slope-intercept form of the line equation

m = 56

<u>Determining the y-intercept</u>

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

substitute x = 0 in the equation

y = 56(0)

y = 0

Thus, the y-intercept b = 1

Thus,

The equation y = 5x has:

  • The slope m = 56
  • The y-intercept b = 1

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

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You have been offered $3,000 in 4 years for providing $2,000 today into a business venture with a friend. If interest rates are
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Find the coordinates of the midpoint of the segment whose endpoints are H(5, 13) and K(7, 5). (12, 18)
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\text{The formula of the midpoint of segment AB:}\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right).\\\\\text{We have the points}\ H(5,\ 13)\ \text{and}\ K(7,\ 5).\ \text{Substitute:}\\\\x=\dfrac{5+7}{2}=\dfrac{12}{2}=6\\\\y=\dfrac{13+5}{2}=\dfrac{18}{2}=9\\\\Answer:\ \boxed{(6,\ 9)}

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Solve for e.<br><br> 4/3=-6e-5/3
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Answer:

e = 1/2

Step-by-step explanation:

to solve foe e in  this 4/3=-6e-5/3

solution

4/3=-6e-5/3

4/3 + 5/3 = 6e

find the lcm of the left hand side

4 + 5/3 = 6e

9/3 = 6e

cross multiply

3 x 6e = 9 x 1

18e = 9

divide both sides by the coefficient of e which is 18

18e /18 = 9/18

e = 1/2

therefore the value of e in the expression above is evaluated to be equals to 1/2

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