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Q: X varies directly with y and z. x 400 when y 8 and z 10. Find x when y 10 and z 12.?

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x = 5.y.z so 5.10.12 = 600

Multiply 0.1 by 400 to get 40. This is how you find 10% of 400 without using proportion.

1600 10% is equal to 0.1 and 1/10. You can either multiply by these numbers, or divide by 10 to find that 10% of 4000 is 400. 4000 - 400 = 1600

m = 24

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x = 5.y.z so 5.10.12 = 600

40

Multiply 0.1 by 400 to get 40. This is how you find 10% of 400 without using proportion.

y = 8

y = -5

y varies directly with x means y = kx, where k is the constant of the variation. When x = 2.5 and y = 5, we have y = kx 5 = 2.5k k = 2 When x = 10, y = kx y = (2)(10) y = 20

40 x 10 = 400

40

40

1

y = kx: 10 = 37k so k = 10/37 and y = 10x/37

1 centimetre = 10 millimetres so 400 cm = 400*10 = 4000 mm. Simple!