If the value of a is positive, the line slopes upwards.
If you set you the equations such as 3c+5w=23 and 6c+2w=20 and then solve the first equation for c, you get c= (23-5w)/3 Taking that equation and substituting it for 'c' in the second equation (so the second equation becomes: 6((23-5w)/3)+2w=20 ) you get w=3.25 If you plug that back into your first equation (so it now becomes: 3c+5(3.25)=23 ) you get c=2.25 So the answer would be walnuts cost $3.25 per lb and choc. chips cost $2.25 per lb.
64^x=16^x-1====> Make the bases the same
4^3(x)=4^2(x-1)=> Solve for x by bringing down the exponent without the base.
3(x)=2(x-1)=====> Distribute
3x=2x-2======> Now solve for x
3x = 2x-2
-2x -2x
x=-2
Therefore x is negative two
Answer:
54 km
Step-by-step explanation:
The distance she covers would be equal to twice the perimeter of the park which is in the shape of a rectangle
perimeter of a rectangle = 2 x (length x width)
length = 4.5
width = 2 x 4.5 = 9
2 x (4.5 + 9) = 27km
In one walk, she covers a distance of 27km. In two walks, she covers a total distance of 27km x 2 = 54km
Answer:
324π in.³
Step-by-step explanation:
The figure is a cone and a half sphere.
V = (1/3)πr²h + [(4/3)πr³]/2
V = (1/3)π(36 in.²)(15 in.) + (2/3)π(216 in.³)
V = [180π + 144π] in.³
V = 324π in.³
