Answer:
16
Step-by-step explanation:
(1/2)x= x-8
x= 2x-16
x-2x= -16
x=16
Answer:
The smallest possible value of a+b+c+d is: 4
Step-by-step explanation:
since we are given that:
4a - 13 = 6b + 35 = 8c -17 = d
<em>on taking the first two equality i.e. 4a-13=6b+35</em>
we get 
<em>on using the first and third equality we have:</em>
4a-13=8c-17

<em>also from the first and last equality we have:</em>
d=4a-13
Hence,


the smallest possible value such that the expression a+b+c+d is positive will be claculated as:
a+b+c+d>0
that means 

But as a is an integer, hence the smallest such value is 4.
Answer:
x=10
Step-by-step explanation:
subtract 4x from each side first. 8x-4x+60=4x-4x+100 which equals 4x+60=100. Then subtract 60 from each side. 4x+60-60=100-60 which equals 4x=40. Then divide both side by 4 which equals x=10.
The answer is B because 1% means 0.01
<span>Pearson's correlation coefficient 'r' measures the degree to which two variables are correlated. The value is between -1 and 1. Negative values correspond to negative correlation (as one variable increases, the other variable decreases) whereas positive values correspond to positive correlation. The larger the absolute value of r, the closer a correlation graph resembles a set of points on the same line.
Therefore, if two variables are completely correlated, the correlation value is 1 or -1, depending on whether the correlation is positive or negative.</span>