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erik [133]
3 years ago
14

Suppose that the time it takes to do a job is inversely proportional to the number of workers. that is, the more workers on the

job the less time required to complete the job. if it takes 2 workers 8 days to finish a job, how long will it take 8 workers?
Mathematics
1 answer:
Maurinko [17]3 years ago
7 0
I think it would be 2 days. you would get it done 4 times faster, so 8/4 is 2
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A student takes a part-time job to earn for summer travel. The number of hours, , the student has to work is inversely proportio
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Answer:

(a) h = \frac{2400}{w}

(b)300 Hours

(c)150 Hours

(d)Reduced and halved.

(e) w = \frac{2400}{h}

Step-by-step explanation:

(a) The number of hours worked is inversely proportional to the wage.

This is written as:

h \propto \frac{1}{w} \\\text{Introducing variation constant k}\\h = \frac{k}{w}\\$Since the money to be raised is constant, k = $ \$2400\\Therefore, h = \frac{2400}{w}

(b)If the student earns $8 an hour

w=$8

\text{Number of Hours required, h} = \frac{2400}{8} =300 Hours

(c)When the wage per hour =$16

When w=$16

\text{Number of Hours required, h} = \frac{2400}{16} =150 Hours

The number of hours reduced and is in fact halved.

(d)

\text{When the wage per hour =w}, h = \frac{2400}{w}\\\text{When the wage per hour =2w}, h = \frac{2400}{2w}=\frac{1}{2}  X \frac{2400}{w} =\frac{h}{2}

The effect of raising the wage from $w to $2w per hour is that the number of hours required to work is reduced and exactly halved.

(e)The wage per hour is inversely proportional to the number of hours.

In fact,

\text{From h = }\frac{2400}{w}\\\text{Cross Multiplying}\\hw=2400\\\text{Dividing both sides by h}\\w = \frac{2400}{h}

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Which statements are true? check all that apply
Sever21 [200]
That would be C, D, E and F.
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Answer:

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2. A positive tells how many times to multiply a base number.

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Original price is $29.99 markdown 33 1/3%
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The time spent to travel a certain distance varies inversely as a car's speed. If it takes 5½ hours to travel a certain distance
Licemer1 [7]

Answer:

6.6h

Step-by-step explanation:

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