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ki77a [65]
3 years ago
7

A rectangular patio has an area of (3x – 6) square units. Factor 3x – 6 to find possible dimensions of the patio.

Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0

Answer:

w=3,\ l=x-2

l=3,\ w=x-2

Step-by-step explanation:

The area of a rectangle is given by the product of its length and width.

A=l.w

If we knew the value of the area, we would not be able to know any of its dimensions without being given other piece of information. We can only make assumptions.

The question states the area of the rectangular patio is 3x-6 units, i.e.

l.w=3x-6

We know the product of two quantities results 3x-6, so we can factor that expression to have a possible combination between l and w. Factoring by 3:

l.w=3(x-2)

We can say that

l=3,\ w=x-2

It can be said also

w=3,\ l=x-2

These are not the only possible combinations, but they are as simple as possible

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In how many ways can a committee of 3 men and 4 boys be chosen from 7 men and 6 boys so as not to include the youngest boy if th
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Answer:

There are 75 ways to form the committee.

Step-by-step explanation:

The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Considering the eldest has to be there, 2 men from a set of 6 and 4 boys from a set of 5(excluding the youngest), so:

T = C_{6,2}C_{5,4} = \frac{6!}{2!4!} \times \frac{5!}{1!4!} = 3*5*5 = 75

There are 75 ways to form the committee.

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2 years ago
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Answer:

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Step-by-step explanation:

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