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Sidana [21]
2 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]2 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

You might be interested in
40 é 200% de que quantia?
STatiana [176]

Answer:

Quant. ---- Porcentagem

200 ------------- 100

X ------------------ 40

100X = 8.000

Step-by-step explanation:

7 0
2 years ago
Write and solve an equation to find the value of x and the missing angle measures.
Oksana_A [137]

Answer:

Step-by-step explanation:

1). Since, both the angles are vertically opposite angles,

  Measure of both the angles will be same.

  6x = 30

   x = 5

2). Since, both the angles are the linear pair of angles,

   (4 + 5x)° + (x + 2)° = 180°

    6x + 6 = 180

    6x = 180 - 6

    x = \frac{174}{6}

    x = 29

    Therefore, (4 + 5x)° = 4 + 5(29)

                                     = 149°

    And (x + 2)° = (29 + 2)

                        = 31°

3). Since, both the angles are linear pair of angles,

    5x° + (3x + 12)° = 180°

    8x + 12 = 180

    8x = 180 - 12

    x = \frac{168}{8}

    x = 21

    Therefore, 5x° = 5(21)

                             = 105°

    (3x + 12)° = 3(21) + 12

                    = 75°

8 0
2 years ago
PLEASE HELP ASAP!!!
Dafna1 [17]

Answer:

Step-by-step explanation:

Any time you have compounding more than once a year (which is annually), unless we are talking about compounding continuously, you will use the formula

A(t)=P(1+\frac{r}{n})^{(n)(t)}

Here's what we have:

The amount after a certain time that she has in the bank is 4672.12; that's A(t).

The interest rate in decimal form is .18; that's r.

The number of times the interest compounds is 12; that's n

and the time that the money is invested is 3.5 years; that's t.

Filling all that into the formula:

4672.12=P(1+\frac{.18}{12})^{(12)(3.5)} Simplifying it down a bit:

4672.12=P(1.015)^{42} Raise 1.015 to the 42nd power to get

4672.12 = P(1.868847115) and divide to get P alone:

P = 2500.00

She invested $2500.00 initially.

6 0
3 years ago
Help! It says that I need to determine If both equations represent lines which are parallel, perpendicular, or none...
12345 [234]
    4x + 2y = 8     (1)
    8x + 4y = -4y  (2)

A) Two lines are parallel if they have the same gradient
       - putting both equations into the gradient- intercept form ( y = mx + c                where m is the gradient)
            (1) 4x + 2y = 8
                          2y = 8 - 4x
                            y = -2x + 4
             
            (2) 8x + 4y = -4y
      <span>                    </span>8x = -4y - 4y
                            y = \frac{-8x}{-8}
                            y = -x
   <span>Thus the gradient of the two equations are different and as such          the two lines are not parallel
</span>
B)  When two lines are perpendicular, the product of their gradient is -1
                   m_{1} * m_{2} = p
                                             p = (-2) * (-1)
                                             p =  2
<span>          ∴ the two lines are not perpendicular either.</span>

Thus these lines are SKEWED LINES

4 0
2 years ago
What is the area of a sector with a central angle of 210 degrees and a diameter of 4.6m?
WINSTONCH [101]
Sector area = (central angle / 360) * PI * radius^2
sector area = (210 / 360) * PI * 2.3^2
sector area = (7 / 12) * PI * 5.29
<span><span><span>sector area = 9.6944313302 </span> </span> </span>
<span>sector area = 9.7 square meters (rounded)

Source:
http://www.1728.org/radians.htm

</span>
8 0
3 years ago
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