Answer:
E = 58
F = 32
G = 90
Step-by-step explanation:
3x + 31 + 5x -13 + 90 = 180
3x + 31 + 5x -13 = 90
8x = 90 - 31 + 13
8x = 72
x = 72 / 8
x = 9
E = 3(9) + 31 = 27+31 = 58
F = 5(9)-13 = 45 - 13 = 32
G = 90
Answer:
Paint set cost = 10.5 , Sketch book cost = 7 , Brush cost = 1.75
Step-by-step explanation:
Let the cost of paint set be = p
Cost of sketchbook 's' = (2 / 3) p
Cost of brush 'b' = 1/4th of s = 1 / 4 [ (2 / 3) p ] = (1 / 6) p
Total expenditure = Money bought - Money left = 23.25 - 4 = 19.25
Total expenditure = Cost of (pen + of sketchbook + of brush) = p + s + b
= p + (2 / 3) p + (1 / 6) p = 19.25 → p + 2p / 3 + p / 6 = 19.25
( 6p + 4p + p ) / 6 = 19.25 → 11p / 6 = 19.25 → p = ( 19.25 x 6 ) / 11
p = 10.5 ; s = (2 / 3) p = 2 / 3 (10.5) = 7 ; b = (1 / 6) p = 10.5 / 6 = 1.75
By the remainder theorem 8x^2 + 4x - 3 when divided by 2x - 1 is
8(1/2)^2 + 4(1/2) - 3 = 2 + 2 - 3 = 1 answer