The volume of a rectangular prism is (x3 – 3x2 + 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular p
rism is the product of its base area and height, what is the height of the prism? x minus 3 + StartFraction 7 x minus 9 Over x squared minus 2 EndFraction
x minus 3 + StartFraction 7 x minus 9 Over x cubed minus 3 x squared + 5 x minus 3 EndFraction
x minus 3 + StartFraction 7 x + 3 Over x squared minus 2 EndFraction
x minus 3 + StartFraction 7 x + 3 Over x cubed minus 3 x squared + 5 x minus 3 EndFraction
Scale factor is given by: (length of larger figure)/(length of smaller figure)=(width of larger figure)/(width of the smaller figure)=3.4 The length of the larger figure will be given by: length=(scale factor)*(length of smaller figure) =3.4*6=20.4 cm width of the larger figure will be given by: width=(scale factor)*(width of smaller figure) =3.4*4.5 =15.3 cm Therefore the dimension of the new parallelogram will be 20.4 cm by 15.3 cm
The cost of an adult ticket is £6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is £40.50, so we can put this in an equation and solve for c: (c+6)+(c+6)+c+c+c+c=40.50 6c+12=40.50 6c=28.50 c=4.75 Therefore the cost of a child's ticket (c) is £4.75 and the cost of an adult ticket (c+6) is £10.75.