5.

Mathematics

1 answer:

Ann [662]2 years ago

8 0

Answer:

Step-by-step explanation:

3n= 3 times n

And it is less than 52

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How do I set up the equation for this word problem? A takes 1/2 of the diamonds plus 1 from the table. B takes 2/3 of what remai

nalin [4]

The first thief takes (1/2 x + 1) . What remains ? x - (1/2x + 1)

So the 2nd thief takes 2/3 of [ x - (1/2x + 1) ]

What remains ? x - 2/3 [ x - (1/2x + 1) ]

So the 3rd thief takes 2/3 of { x - 2/3 [ x - (1/2x + 1) ] } and he takes 1 more .

What remains ? x - ( 2/3 { x - 2/3 [ x - (1/2x + 1) ] } + 1 )

And that whole ugly thing is equal to ' 1 ', so you can solve it for 'x'..

The whole problem from here on is an exercise in simplifying
an expression with a bunch of 'nested' parentheses in it.
===============================================
This is a lot harder than just solving the problem with logic and
waving your hands in the air. Here's how you would do that:

Start from the end and work backwards:

-- One diamond is left.
-- Before the 3rd thief took 1 more, there were 2.
-- That was 1/3 of what was there before the 3rd man took 2/3.
So he found 6 when he arrived.
-- 6 was 1/3 of what was there before the second thief helped himself.
So there were 18 when the 2nd man arrived.
-- 18 was 1 less than what was there before the first thief took 1 extra.
So he took his 1 extra from 19.
-- 19 was the remaining after the first man took 1/2 of all on the table.
So there were 38 on the table when he arrived.

Thank you for your generous 5 points.

3 0

2 years ago

Please help me. My homework is due at 11:59

siniylev [52]

The grocery store selling a 3 pound bag for $4.20. while the other store would sell it for $4.50.

8 0

2 years ago

Read 2 more answers

Simplify the rational expression. state any restrictions on the variable. n^4-11n^2+30/n^4-7n^2+10

Andrej [43]

For this case we have the following expression:
 $\frac{n ^ 4-11n ^ 2 + 30}{ n ^ 4-7n ^ 2 + 10} 

$
 We are going to make the following change of variables:
 $x = n ^ 2
$
Rewriting the expression we have:
 $\frac{(x ^ 2-11x + 30)}{(x ^ 2-7x + 10)} 

$
Factoring the expression we have:
 $\frac{(x-5) (x-6)}{(x-5) (x-6)} 
$
Canceling similar terms we have:
 $\frac{x-6}{x-2} 
$
Returning the change we have:
 $\frac{n ^ 2-6}{n ^ 2-2} 

$
 The resctrictions of the function are those that make the denominator equal to zero.
We have then:
 $n ^ 2-2 = 0

n = +/- \sqrt{2} 
$
 Answer:
The simplified expression is:
 $\frac{n ^ 2-6}{n ^ 2-2}$
The restrictions are:
 $n = \sqrt{2} 
$
$n = - \sqrt{2}$

7 0

2 years ago

If f(x)=x^2 what is g(x) A. g(x)=1/9x^2 B. g(x)=(1/3x)^2 C. g(x)=3x^2 D. g(x)=1/3x^2

Pavlova-9 [17]

Answer:

the answer is B

Step-by-step explanation:

3 0

2 years ago

The ratio of boys to girls at the movie is 4:7. If there are 21 girls l, how many boys are at the movie?

Gelneren [198K]

There are 12 boys 21/7=3 so 4(3)= 12
You are welcome

7 0

2 years ago