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What percent of 5x is equal to x/8?

Hello Guest!

\(5x:100\%=\frac{x}{8}:x_{sol}\\ 5x\cdot x_{sol}= \frac{x}{8}\cdot 100\%\\ x_{sol}=\frac{x\cdot 100\%}{8\cdot 5x}\)

\(x_{sol}=2.5\%\)

\(2.5\%\ of\ 5x\ is\ equal\ to\ \frac{x}{8}.\)

  !

Find the area of a polygon formed by the lines 1)  y=-2x+8, 2) x+y=2, x-axis, and the y-axis.

Hello Guest!

Schnittpunkte mit den Koordinatenachsen:

\(x_1=4\\ y_1=8\\ x_2=2\\ y_2=2\)

\(Polygon\ A(2,0),B(4,0),C(0,8),D(0,2)\)

\(A=\frac{x_1\cdot y_1}{2}-\frac{x_2\cdot y_2}{2}=\frac{4\cdot 8}{2}-\frac{2\cdot 2}{2}\)

\(A=14\)

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Liters of water needed =L

20% * 1.5 =12% * [1.5 + L], solve for L

L = 1 Liter x 1000 =1000 mL of water needed.

1000 / 3 = 333 multiples of 3

1000 / 4 =250 multiples of 4

333 + 250 =583 combined multiples of 3 and 4.

1000 / 12 =83 multiples of 12 which is double counted.

583 - 83 = 500 numbers will remain after removing all multiples of 3 and 4.

thanks

 m = 24n + 51

n = 51   and   m =24*51 + 51

m = 1275

GCD(n, m) =GCD(51, 1275) = 51 - greatest value of GCD of n and m.

(8a^6  - 4a^3b^5 + b^10)  (8a^6  + 4a^3b^5 + b^10)

Do you know the mass of the stone?:

Kintetic energy at end  = 1/2 m v^2     v = 38 m/s

  initial Potential energy mgh               g = 9.81 m/s^2  h = 80 m

Missing energy is likely lost due to air friction

I never would have thought of that.  Thanks guest.

CPhill answed it on the 13th october 2017.

What are you on about?

Factor the sum of perfect squares:

A² + B² = (A + B + √(2AB)) (A + B − √(2AB))

pi r^2 = 360/160 * 18     solve for r

Hint;

It is a difference of 2 squares/

Sum of squares factoring:

A² + B² = (A + B + √(2AB)) (A + B − √(2AB))

(9t^4 +1+sqrt(18t^4) ) (9t^4+1-sqrt(18t^4))     maybe?    you can simplify the sqrt18t^4   to  3t² sqrt2   if ya want...

What have you already done?

2xy + 3y^2  - 9yz      take out the GCF  = y

y ( 2x +3y  - 9z)

81t^8  + 1   

(9t^4)^2  + 1^2

This is a sum of squares....it cannot be factored in real terms

arc length =  r θ

5 = 4 θ

5/4  = θ  =   1.25 rads  *  180 /pi  ≈  71.6°

hello i was wondering if someone could help me solve this

factor   81t^8+1

Thank you!

x^(6n) - 14x^(3n)  + 49  =

(x^(3n)  - 7)  (x^(3n) - 7)  =

(x^(3n)  - 7) ^2

Let x be the mL of water we are looking for.....and pure water = 100% water  = 1.00

20% solution = 80% water=  .,80

12% solution = 88% water = .88

And 1.5 L  =  1500mL

So we have

x (1.00)  +  1500 (.80) =  .88 ( 1500 + x)     simplify

1x  + 1200 =  1320  + .88x

1x - .88x  = 1320 - 1200

.12x = 120      divide both sides by .12

x = 1000mL  of   water

No that is not right.  But I am glad to see that you are trying to answer me.

Mz instructions

y(x + 5) + 4x + 20 = 1

You need to get the 4x and the 20 onto the other side.  How do you do that?

I should not really work it as putting them on the other side. (Although it is common working and that is what happens)

But what I am really asking you to do is get 4x and 20  OFF the left side.

at the moment you have  +4x so you will have to take 4x away.    +4x-4x = 0

you also have +20 so you will need to take that away too   20-20 = 0

So the left side will be   

y(x + 5) + 4x + 20 - 4x - 20

BUT equations must stay BALANCED.

If you do something to one side you must do it to the other side as well.  Otherwise the scale will tip sideways.

so this is what you have to do.

y(x + 5) + 4x + 20 = 1

y(x + 5) + 4x + 20-4x-20 = 1-4x-20

Now simplify both sides and then get back to me with your answer.   Leave the y(x+5) alone for the moment.

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After you do this tell me what is the invisible symbol between y and (x+5)  

And

what is the opposite operation to that.  Like the opposite of + is -  because  +4-4 = 0

A + B + C + r = 43.

(1) sin(pi/6) = sqrt(3)/2.

(2) AC = 4.7

(3) BC = 5.4