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39571.4285714285714286

Height  = x   and base edge (side) =  2x - 3...so we have....

Volume = (1/3)*(area of the base) *(height)  = (1/3)*(side)^2*(height)=(1/3)*(2x -3)^2*(x) =

(1/3)*((2x -3)*(2x -3)* x  =  (1/3)*(4x^2 - 12x + 9)*x   = [4x^3 - 12x^2 + 9x] /3    cubic units

No prob !!!!

which answer should i accept

-5/2(w-1)=15

After 3 hours the one flying North has traveled 3r miles

And the one flying South has traveled 3(2r) miles  = 6r miles

So....they are   3r + 6r = 9r miles apart after 3 hours

Woah Thanks 

4.5-1.5(6m+2)=6    multiply through by 10 to clear the decimals

45 - 15(6m + 2)  = 60    subtract 45 from each side

-15(6m + 2)  = 15     divide both sides by -15

6m + 2  = -1      subtract 2 from both sides

6m = -3     divide both sides by 6

m = -3/6 = -1/2 

Let C be the cost per member.....so we have....

C = [Total Cost] / [ Number of players on the team]

C = $350 / 10

C = $35   per member

x^2+5x= -2x-12    add 2x, 12 to both sides

x^2 + 7x + 12 =  0      factor

(x + 3)( x + 4)= 0    and setting each factor to 0, we have that x = -3 or x = -4

1-1/7) to the second power

1-1/7=6/7^2=36/49

Calculate The Density Of A Rock That Has A Mass Of 454 g and A Voloume Of 100.cm

Density=Mass/Volume=454/100=4.54 g/cm^3

21.6129032258064516

9+10= 19

here you go

Can I have more hlep on the last 2 pless

56/46 = 28/23  = 1 + 5/23

(x + 1)^2  = √(5/4)     take the square root of both sides.....remember that, on the right side, we have to take both roots.....so we have....

x + 1 = ±√(√(5/4)   which we can simplify to....

x + 1 =  ± ⁴√(5/4)      subtract 1 from both sides

x = -1 ± ⁴√(5/4) 

I think that the problem is supposed to say that "square of the difference of the 4th and the 1st term is 225"  rather than 255......when I tried 255 I get a strange square root which doesn't allow for any "integer" answers [If I didn't make a mistake, that is !!!!].....I'm working this one assuming 225 is correct...

The first term is just a1

Let the 4th  term be given by:

a4 = a1 + d(4 -1)   =  a1 + 3d

And the difference between the 4th and 1st terms is just 3d

And the square of this difference  = 225

So  (3d)^2  = 225 →  9d^2 = 225  →  d^2  = 225/9  →   d =  15/3   so d =5 [since all the terms are positive]

And we're told that    [ (a1 + d(7) ) - (a1 + d(3)) ] / [a1 + d (14) ]  = 4/15  simplify   

[d(7) - d(3)] /[ a1 + d(14)] = 4/15   and sustituting 5  for d we have

[5(7) - 5(3)] /[ a1 + 5(14)] = 4/15

5*4  = [4/15]  (a1 + (5)*14)     multiply through by 15

5*4*15 = 4[a1 + 70]

300 = 4a1 + 280

20 = 4(a1)

So a1  = 5

So

2015 = 5 + 5(n -1)

2010 = 5(n -1)

402 = n - 1    add 1 to both sides

403    which is answer "3"

4*4=16/4=4*4=16

$${\frac{{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{4}}}{{\mathtt{4}}}}{\mathtt{\,\times\,}}{\mathtt{4}} = {\mathtt{16}}$$

Your work is correct

You remember the prefixes:

Milli  means 1000 times smaller

centi means 100 times smaller

Kilo  means 1000 times bigger.

They are the main ones :)

8.33 

21

Hello anonymous and CPhil, sorry !

1.03 * x = 1600 

x = 1600 / 1.03

x = 1553.398...

Greetings    :- )