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I am Lyosha [343]
3 years ago
13

Zahir completes 1/5 of his homework in 5/15 of an hour. How much time will

Mathematics
1 answer:
kogti [31]3 years ago
6 0

Answer:

t = 100 minutes, or 1 hr, 40 minutes

Step-by-step explanation:

5/15 of 1 hour is the same as 5/15 of 60 minutes, which is 20 minutes

you can set up a proportion of hw completed / minutes = hw completed / min:

(1/5 ÷ 20) = (1 ÷ t)    we use '1' to indicate all homework (or 100% of hw) and 't' to indicate time required

cross-multiply to get:

20 = 5/t

t = 100 minutes, or 1 hr, 40 minutes

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Firlakuza [10]

Answer:

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Step-by-step explanation:

The formula for the volume of a cube in terms of side length is ...

   V = s³

Then the first-order approximation of volume for a small change ∆s in side length is ...

  V(s +∆s) ≈ V(s) + V'(s)·∆s

and the change in volume is ...

  ∆V ≈ V(s +∆s) -V(s) = V'(s)·∆s

The derivative V'(s) is ...

  V'(s) = 3s²

so the change in volume for s = 8 cm and ∆s = -0.01 cm is ...

  ∆V ≈ 3s²·∆s = 3(8 cm)²(-0.01 cm) = -1.92 cm³

 

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4 years ago
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