The value of x varies directly with the value of y, and when x=20, y=18. What is the value of “k”, the constant of proportionality?

In this case, y=30 and x=6, so 30=k*5<=> k=30/6=5.

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²

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