Answer: it will take 10 years for both of them to have the same points.
Step-by-step explanation:
Let x represent the number of years that it will take Lebron James and Steph Curry have the same number of points.
Lebron James has 30,473 points, and adds 8,200 each year. This means that in x years, the total number of points that Lebron James would have is
30473 + 8200x
Steph Curry has 14,403 points, and adds 9,807 each season. This means that in x years, the total number of points that Steph Curry would have is
14403 + 9807x
For them to have the same points, the number of years would be
30473 + 8200x = 14403 + 9807x
9807x - 8200x = 30473 - 14403
1607x = 16070
x = 16070/1607
x = 10
Answer:
a) £11.46
b) £8.54
Step-by-step explanation:
a) Ffion's Bill = £2.49 + 2(£3.99) + £0.99
= £2.49 + £7.98 + £0.99
= £11.46
b) Change Received = £20 - £11.46
= £8.54
Answer:
29/400
Step-by-step explanation:
.0725 = 725 /10 000 = 29/400
Volume of cube, V = edge^3
Let edge of cube#1 = (x-4) m, therefore volume of cube#1, v1 = (x-4)^3 m
Let edge of cube#2 = x m, therefore volume of cube#2, v2 = x^3 m
Diff. in volume (in m) = 1216 = v2-v1 = [ x^3 - (x-4)^3 ]
= x^3 - [(x-4)(x-4)(x-4)]
= x^3 - [<span>x^2 - 8x +16(x - 4)]
= </span> x^3 - [ x^3 - 12x^2 + 48x - 64 ]
= 12x^2 - 48x + 64
= 4 (3x^2 - 12x + 16)
Therefore 4 (3^2 - 12x + 16) = 1216
3x^2 - 12x + 16 = 1216/4 = 304
3x^2 - 12x - 288 = 0
3 (x^2 - 4x - 96) = 0
(x^2 - 4x - 96) = 0
(x - 12) (x + 8) =0
(x-12) = 0
Therefore x = 12 m
Edge of cube#2 = x m = 12m
Edge of cube#1 = (x-4) m = 8m
