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3 years ago

Name the property that justifies each statement -3(m+8)=-3m-24

Mathematics

2 answers:

zlopas [31]3 years ago

6 0

Answer: Distributive Property

Explanation: The distributive property tells us that if we're given an expression such as -3(m + 8), we can multiply the -3 by both the m and the 8.

pentagon [3]3 years ago

6 0

Yes it is Distributive property.

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sixteen men working 9 hrs a day can complete a pice of work in 14 days .How many more men working 7 hrs a day would complete the

nordsb [41]

Answer:

8 more men are needed to complete the job

Step-by-step explanation:

Proportions

This problem can be solved by step-by-step reasoning applying proportions:

16 men working 9 hrs a day complete the job in 14 days
16 men working 1 hr a day complete the job in 14*9 days

The above statement stands because the fewer hours of work, the more time the job needs to be completed. Let's continue.

1 man working 1 hr a day complete the job in 14*9*16 days

The same reasoning applies here, fewer men=more days.

Now for the second condition. Increase the hours/day:

1 man working 7 hrs a day complete the job in 14*9*16/7 days

More hours/day=less days to complete the job

x men working 7 hrs a day complete the job in 14*9*16/(7*x) days

We know this last time is 12 days, thus:

$\displaystyle 12=\frac{14*9*16}{7*x}$

Solving for x:

$\displaystyle x=\frac{14*9*16}{7*12}=\frac{2016}{84}=24$

24 men are needed now, this is an increase of 24-16=8 more men

8 more men are needed to complete the job

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elena55 [62]

Answer:

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Step-by-step explanation:

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