3 years ago

What is 3/4 divided 5/16 in its simplest form?

Mathematics

1 answer:

muminat3 years ago

3 0

Step-by-step explanation:

3/4÷5/16

3/4×16/5

=12/5(2 2/5)

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The functions r and s are defined as follows. r(x)=2x-2 s(x)=-x^2 find the value of s(r(-3)) (please help!)

swat32

Solving equation s(r(x)) for x= -3, you find as result s(r(-3))=-64

<h3>Solving Equations</h3>

The equations can be solved when you replace the variable x for a given value or find the zero of functions.

The question gives:

r(x)=2x-2

s(x)=-x²

First, you will find r(-3). For this, in the equation r(x)=2x-2, you should replace x for -3. Then,

r(x)=2*(-3)-2

r(x)=-6-2= -8

Like r(-3)= -8, you should replace x, in s(x), for -8.

s(x)=-(-8)²

s(x)=-64

Hence, s(r(-3)=-64.

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The length of the rectangle is three times its width.The perimeter of the rectangle is at most 112 cm .

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Option D is the correct answer

$2w+2.(3w)\leq 112$

Further explanation:

Let

$l\ be\ the\ length\ of\ rectangle\\and\\w\ be\ the\ width\ of\ rectangle$

The perimeter of a rectangle is given by:

$P=2w+2l$

It is also given that:

$P\leq 112$

So we can write as

$2l+2w\leq 112$

We also know that The length of the rectangle is three times its width

$l=3w$

Putting the value of l in the inequality

$2.(3w)+2w\leq 112$

Rearranging the terms

$2w+2.(3w)\leq 112$

Hence, option D is the correct answer.

Keywords: Inequalities, Perimeter

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