16.14 -- 6 gallons
1.35 -- half gallon
total cost -- $17.49
James bought 12 cookies and ate 3
3/12 = 1/4
1/4 = 0.25
0.25 = 25%
James ate 25% of the cookies
hope this helps
The functions whose graphs include the point (16, 4) is y = x−12.
Option: D.
<u>Step-by-step explanation:</u>
To find the function that passes through the point (16,4).
Substitute the point in all the equations and equate the final values to find the correct equation.
A. y=2x.
Substitute (16,4).
4=2(16).
4≠32.
Thus the equation doesn't contains the point (16,4).
B. y=.
Substitute (16,4).
4=.
4≠ 256.
Thus the equation doesn't contains the point (16,4)
C. y=x+12.
4=16+12.
4≠28.
Thus the equation doesn't contains the point (16,4)
D. y=x−12.
4=16-12.
4=4.
Thus the equation contains the point (16,4)
E. y=14x.
4=14(16).
4≠224.
Thus the equation doesn't contains the point (16,4)
∴The functions whose graphs include the point (16, 4) is y = x−12.
The surface area of the prism is given by:
Area=2(x*2x)+2(x(x+3))+2(2x(x+3))
=4x^2+2x^2+6x+4x^2+12x
=10x^2+18x sq. units
The volume will be given by:
V=length*width*height
=2x*x*(x+3)
=2x^3+6x^2 cubic units
Step-by-step explanation:
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