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72= 2 X 2 X 2 X 3 X 3=6*sqrt(2)

A mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water.
10 liters of yellow tint are added to the original mixture.

The percent of yellow tint in the new mixture is?

Originally, there are .30(40)  = 12 liters of yellow tint paint.......when 10 liters of yellow tint are added, the percent of yellow tint paint is :     [12 + 10] / [40 + 10]  =   22/50   = 44%

A mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water.
10 liters of yellow tint are added to the original mixture.

The percent of yellow tint in the new mixture is?

Since 30% of 40 liters=12 liters of yellow tint

10 +40=50 Total mixture, but since we had 12 liters of yellow tint + 10 new liters=22 liters of yellow tint

22/50=44% of the new mixture is yellow tint.

2/82=1/41=.02439.......etc.

CPhill: I simply modified his/her 76 to 56!!!!!!!. He/she has obviously made a mistake.

There are 24 positive integers below 25, so the probability is 24/100 = 0.24 that the number will be less than 25.

6% of what number is 35

.06n=35

n=35/.06=583 1/3

Well, Guest.....here's a graph of both equations.....as you can see, (18, -7)  is the solution point

https://www.desmos.com/calculator/d439snijlp

The other posted  solution of (8, 8)  cannot be correct...............it doesn't "work" in the first equation........!!!!

(55 + x)/2 = 70

Multiply both sides by 2

55 + x = 140

Subtract 55 from both sides

x = 85

soh   sin = opposite over hypotenuse

cah   cos = adjacent over hypotenuse

toa    tan = opposite over adjacent

CPhill: x=18 Does NOT work the way he/she has written the equations.

8.1*cos(52°) = 4.99 (to 2dp) but if you add 8cos(180) = -8 to this you get  -3.01 (to 2 dp)

.

=$54,522.53

5x + 2y = 76

3x + 2y = 40    multiply this equation by -1 and add it to the first

5x + 2y = 76

-3x - 2y = -40

------------------

2x  = 36      divide both sides by 2

x  = $18  = the cost of an adult ticket

Of course......we do have a problem here.......the cost of the other ticket is  (-$7)........!!!!!

x=8

y=8

Hi Ninja,

It is really great to see you again.  True to his word, Chris messaged me the address of your post.

I am so very pleased to see you.  :)

I hope you give us some tricky questions to answer or that you post more qualitiy answers that your are so famous for  :))

Melody :)))

1245.555 grams

5=(1/x-1)-(x+6/x-6)      add (x + 6)/ (x - 6) to both sides

5 + (x + 6) / (x - 6)    =  (1)/ (x - 1)       simplify the left side

[5(x - 6) + (x + 6)]/ (x - 6)  = 1 / (x - 1)

[5x - 30 + x + 6] / (x - 6)   = 1 / (x - 1)

[6x - 24] / (x - 6)   = 1 / (x - 1)   cross-multiply

[6x - 24][x - 1] = x - 6        expand on the left side

6x^2 - 30x + 24  = x - 6      subtract [x - 6] from both sides

6x^2 - 31x +30 = 0    this will not factor

The solutions using the Quadratic Formula  are  x =     [31 +/- sqrt(241)] / 12

x = 827/20

84u-72v=-60. There are MANY solution to your equation such as u=1, v=2 or u=7, v=9......etc

5 = -x-5/x+5 or,

x^2 = -5  (for x!=0)

what is the acceleration of gravity at the space station?

If you mean the orbital velocity, then it's about 17,500 miles per hour,

If you mean the force of gravity pulling on the space station at a height of about 400Km, then that would be about 8.65m/sec^2.

25/100=.25=25% or the probability that the number chosen RANOMLY will be between 1-25.

use pemdas