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Setler [38]
3 years ago
15

What is the quotient? StartFraction n + 3 Over 2 n minus 6 EndFraction divided by StartFraction n + 3 Over 3 n minus 9 EndFracti

on Two-thirds Three-halves StartFraction (n + 3) squared Over 6 (n minus 3) squared EndFraction StartFraction 6 (n minus 3) squared Over (n + 3) squared EndFraction
Mathematics
2 answers:
shepuryov [24]3 years ago
8 0

Answer:

\frac{3}{2}

Step-by-step explanation:

Given the expression:

\frac{n+3}{2n-6} \div \frac{n+3}{3n-9}

We are to find the quotient as shown:

= \frac{n+3}{2n-6} \div \frac{n+3}{3n-9}  \\\\= \frac{n+3}{2n-6} \times \frac{3n-9}{n+3} \\\\=  \frac{n+3}{n+3} \times \frac{3n-9}{2n-6}\\\\= 1  \times \frac{3(n-3)}{2(n-3)}\\\\= 1 \times  \frac{3}{2} \\\\= \frac{3}{2}

Hence the correct answer is \frac{3}{2}

Ket [755]3 years ago
8 0

Answer:

3/2

Step-by-step explanation:

3/2

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Find the smallest perimeter and the dimensions for a rectangle with an area of 36 in^2
Tpy6a [65]
This is a square with area 36 in^2

So dimensions are 6 * 6 ins   and  perimeter = 24 ins.
3 0
3 years ago
Match the terms to their definition. 1. part-whole ratio a ratio comparing a portion of a whole quantity to the whole quantity 2
dem82 [27]

Answer:

They're already matched... at least they way you typed it.

Step-by-step explanation:

A ratio is a comparison of two numbers as a fraction or quotient. A part-whole ratio is a ratio comparing a part of something to the whole thing. A part-part ratio is ratio comparing two different parts of one whole.

4 0
3 years ago
Which expression simplifies to 41? Choose all that apply!
Arada [10]

Answer:

None of the expressions is simplified to 41.

Step-by-step explanation:

You have to follow the P.E.M.D.A.S., this is:

P:Parentheses first.

E:Exponent next.

M:Multiplication.

D:Division.

(Multiplication and Division is whichever come first, from left to right)

A: Addition.

S: Subtraction.

(Addition and Subtraction is whichever come first, from left to right).

<u><em>We are going to analyze every option:</em></u>

1. 10+ 2.4 - 1

First we have to solve the multiplication:

10+ 2.4 - 1=10+8-1

Now we have to solve the addition and subtraction from left to right:

10+8-1=18-1=17\neq 41

This is not a correct answer.

2. 10+2.(4-1)

We have to solve the parentheses first:

10+2.(4-1)=10+2.(3)

Now the multiplication and then the addition.

10+2.(3)=10+6=16\neq 41

This is not a correct answer.

3. (10+23).4-1

We have to solve the parentheses first:

(10+23).4-1=(33).4-1

Now the multiplication and then the subtraction:

(33).4-1=132-1=131\neq 41

This is not a correct option.

4. 10+(2^2.4)-1

We have to solve the parentheses first, in the parenthesis first we have to solve: 2^2 and then do the multiplication.

10+(2^2.4)-1=10+(4.4)-1=10+16-1

Now we have to solve the addition and subtraction from left to right:

10+16-1=26-1=25\neq 41

This expression is not a correct option.

Then none of the expressions is simplified to 41.

5 0
3 years ago
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