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In a store window, there was a box of berries having a total weight of 200 kg. The berries were 99% water, by weight. After two days in the sun, the water content of the berries was only 95%, by weight. What was the total weight of the berries after two days, in kg?

You're starting with 200 kg of berries, and 99% of that is water.  

Since they're 99% water, that means that there's 1% of solid stuff.  

1% of 200 kg means that there are 2 kg of solid stuff.   

Some of the water evaporates in the sun, but the solid stuff doesn't.  

So, after the evaporation, there still remains the same 2 kg of solid stuff.  

Since the new water content is 95%, that means that now the solid stuff is 5%.  

So 2 kg (the solid stuff) is 5% of the total weight.  

That means the new total weight is 2 / 0.05 = 40 kg.  

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The circumradius of a triangle with sides of lengths a, b, and c is given by the formula

R = \frac{abc}{4\sqrt{(s)(s - a)(s - b)(s - c)}}

where s is the semiperimeter of the triangle, s = (a + b + c) / 2.

In this case, the sides of the triangle are 29, 29, and 42, so the semiperimeter is s = (29 + 29 + 42) / 2 = 49. The area of the triangle is then

A = \sqrt{s(s - a)(s - b)(s - c)} = \sqrt{49(49 - 29)(49 - 29)(49 - 42)} = 420

Therefore, the circumradius is

R = \frac{abc}{4A} = \frac{(29)(29)(42)}{4(420)} = \frac{29}{6}

The equation of the line is   y = 1/2 x -1 

the shaded area is LESS than the line....and does not include the line ( because it is shown as a dashed line)  ...so not equal to the line, just <   , so 

    y < 1/2 x -1       

The equation of the line is y = 2x - 1, so the inequality is y - 2x + 1 <= 0.

It's actually not computer generated. I usually write words next each other. If it was computer generated than I would've cited that. I explain in terms that make it look like it's computer generated. 

Put in y = -3   into the first equation to get : 

-3 = x^2 -7x+ 7     then 

x^2 -7x + 10 = 0      now you can factor to find 'x' values or use the Quadrtatic Formula 

(x-5)(x-2) = 0      shows 'x' values of 5 and 2       the sum would then be   7 

You will need to recall that the specific heat for water is 4182  J / (kg C ) 

        C is the change in temp of  92            you will also need to know that a liter of water is 1 kg ...so you have 2 kg of water 

4182 J / (kg C)  *  92 C  * 2 kg  = 769488 J

Some people were claiming that this was a nonsence answer so I decided to take a look.

It is actually a very good answer except for some poor formatting and a couple of 'silly' errors.

Next time Hairy, please cite your source.    

Thanks for your answer too guest  

Is that SUPPOSED to be   (1a)^(-4) ?? 

   this equals     1 / ( 1a)^4  =  1 / (a^4) 

2 - 3 i z   = 3 + 2z 

-1 = 2z + 3i z 

-1 = z ( 2+3i)

-1/(2+3i) = z

Read the pairs of positive integers (x, y) from left to right:

x : 4 = 9 : y

(36, 1) , (18, 2) , (12, 3) , (9, 4) , (6, 6) , (4, 9) , (3, 12) , (2, 18) , (1, 36)> = 9 such pairs

The pairs mean: [x : 4] = [9 : y] = [36 : 4] =[9 : 1] 

Like this:

Area = L * W

Perimeter =2L  +  2W

L * W = 4 * [2L  +  2W]

L * W = 8L  +  8W

By trying a few numbers, it turns out that the smallest perimeter is:

When L = 24  and W = 12

Then Perimeter is: [2*L  +  2*W] =[2 *24  +  2 * 12] = 72

And the area =24  *  12 = 288 u^2

And: 4  * 72 = 288 = The area