Total students = number on council / percentage
Total students = 39 / 0.65 = 60
There are 60 students on student council.
<h3>
Answer: $44.10</h3>
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Work Shown:
5% = 5/100 = 0.05
5% of 42 = 0.05*42 = 2.10
tax = $2.10
total cost including tax = $42 + $2.10 = $44.10
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An alternative is to multiply 42 by 1.05 to get
1.05*42 = 44.10
We get the same answer. The 1.05 refers to 1 + 0.05 where the "1" is 100% and the 0.05 is 5%, so the two combine to 105%, meaning the total cost is 105% of the cost before tax is considered.
9514 1404 393
Answer:
(x +3)(x -3)(x +2i)(x -2i)
Step-by-step explanation:
The factoring to quadratics makes use of the fact that -36 = (-9)(4).
x^4 -5x^2 -36
= x^4 -9x^2 +4x^2 -36
= x^2(x^2 -9) +4(x^2 -9)
= (x^2 +4)(x^2 -9)
The form for factoring the difference of squares comes into play here. Of course -4 = (2i)^2.
= (x^2 -(2i)^2)(x^2 -3^2)
= (x -2i)(x +2i)(x -3)(x +3) . . . factored to linear terms
Hey there! :D
We can put this through point slope first.
y-y1= m(x-x1)
y-2= 5(x-0)
y-2= 5x
Ax+By= C <== standard form
Subtract y from both sides.
-2= 5x-y <== standard form
I hope this helps!
~kaikers
Line:
3x+y=7
y=-3x+7
Slope of Perpendicular Line: 1/3x
For the perpendicular line to contain point (6,-1) the y-intercept would be (0,1), thus the equation of the line would be y=1/3x+1
y=1/3x+1