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Nataliya [291]
2 years ago
10

A knife is 3x the cost of a spoon9 spoons and 12 knives cost £82.80Work out the cost of 1 knife

Mathematics
1 answer:
alisha [4.7K]2 years ago
7 0
The cost of my me knife is $5.52
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A tub filled with 50 quarts of water empties at a rate of 2.5 quarts per minute. let w = quarts of water left in the tub and t =
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This is a linear relationship. The slope-intercept form of the linear equation is:

y=mx+c

Where,

  • m is the rate of change (positive if increasing rate and negative if decreasing rate)
  • c is the y intercept, or the initial value

<u><em>Rate of change is 2.5 quarts per minute (it is decreasing so m is -2.5)</em></u>

<u><em>Initial value is 50 quarts, so c is 50.</em></u>

Plugging in the values we get y=-2.5x+50.


Changing variables to w instead of y and t instead of x, gives us,

w=50-2.5t. Where w is warts of water left in the tub and t is the time in minutes.


There is no viable solution when t=30 because at t=20, w=0 (0=50-2.5(20)). It means after 20 minutes, there is no water left. So t=30 minutes doesn't make sense.


ANSWER:

Modelling equation: w=50-2.5t

When t=30, there is no VIABLE solution

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First one:

cos(A)=AC/AB=3/4.24

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