To find the number of even factors, we can multiply the number of odd factors by the power of 2 (not the power of 2 + 1!!!). For 540, we have (3 + 1)(1 + 1)(2) = 16 even factors.
Answer:
Hence total number freshman presented are 655.
The system is relative system as there is correlation between freshman and
sophomores<em>.</em><em>( as freshman are 60 more than the Sophomores)</em>
Step-by-step explanation:
Given:
1250 total students of sophomores and freshman.
To Find:
freshman count and its type of system used.
Solution:
We have that ,
consider x be the no.of freshman and y be the sophomores
So by given condition,
x+y=1250 ,..............................Equation(1)
And other one,
x=60+y
Use above value in equation (1) we get ,
60+y+y=1250
2y=1250-60
y=595
Now number of freshman ,
x+y=1250
x=1250-595
x=655
Hence total number freshman presented are 655.
The system represent the relative proportion system.The break even and total value should include all students in university .
Relative means in relationship with one another .
As there are 60 more number of freshman than the sophomores.
<h3>
Answer: -4x+5y = 100</h3>
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Explanation:
The given equation is the same as -4x+5y = 10
It is of the form Ax+By = C, where A = -4, B = 5, C = 10
Anything parallel to Ax+By = C is of the form Ax+By = D. The only difference is the C has changed to a D.
This means anything parallel to -4x+5y = 10 is -4x+5y = D, where D is not equal to 10, but it could be any other number.
Plug in the coordinates of (-15,8) to find the value of D
-4x+5y = D
-4(-15)+5(8) = D
60+40 = D
100 = D
D = 100
We have -4x+5y = D update to -4x+5y = 100
The equation -4x+5y = 100 is parallel to -4x+5y = 10, and it goes through (-15,8)
Parallel lines have the same slope, but different y intercepts.
Note how Ax+By = C has a slope of m = -B/A. This means A cannot be zero.
1. Subtract 6 from both sides now you would get..
2z=-10
Now divide each side by 2z and you get
z= -5
So the answer is -5