X=0+y6x−5y=23
6x=23+5yx=23+5y6
now sub x=23+5y6in x=0+ywe get23+5y6=0+ymultiple both side of the equation by 6..we get23+5y=6ynow we solve for y..23=6y−5yy=23now since we find y...we can find x..by by substituting y=23 in the 1st or 2nd equation...so, using equation 1x=0+yx=0+23x=23
Hopefully this helps :)
R + g + b = 50
r = b + 6
g = b - 4
(b + 6) + (b - 4) + b = 50
3b + 2 = 50
3b = 50 - 2
3b = 48
b = 48/3
b = 16 <=== 16 blue marbles
r = b + 6
r = 16 + 6
r = 22 <=== 22 red marbles
g = b - 4
g = 16 - 4
g = 12 <=== 12 green marbles
Ok, let’s take it step by step.
Let x = number of gallons of 70% solution
100 = number of gallons of 25% solution
Then x + 100 = number of gallons of a 60% solution.
0.70x + 0.25(100) = 0.60(x + 100)
0.70x + 25 = 0.60x + 60
0.10x = 35
x = 350 gal
So, you can mix 350 gal of a 70% solution with 100 gal of a 25% solution to get 450 gallons of a 60% antifreeze solution.
In statistical methods, the significance level is a value that is used as a criterion for rejecting a null hypothesis. It used by first looking at the differences between the experimental results and from there the null hypothesis would be determined. Then, we assume that the null hypothesis is true, the probability of the differences is computed by using statistical tools. If the computed probability is less than or equal to the value of the significance level, then you conclude that the null hypothesis should be rejected and that the results are statistically significant. Usually, a significance level of 1% or 5% is used.
