4 years ago

Find the values of c and d

Mathematics

1 answer:

forsale [732]4 years ago

4 0

$36 + 3c = 90 \\ 3c = 90 - 36 \\ 3c = 54 \\ c = 18$

$5d + 10 = 90 \\ 5d = 90 - 10 \\ 5d = 80 \\ d = 16$

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Svetlanka [38]

Answer: a. 45 = k

b. d/t = 45

c. d = 45t

Step-by-step explanation:

The constant of proportionality (k) equals y divided by x if it is a direct variation. In the given problem, y is represented by distance (d) and x is represented by time (t).

$a)\quad \dfrac{d}{t}=k\\\\\\.\qquad \dfrac{90}{2}=k\\\\\\.\qquad 45=k\\\\\\b)\quad \dfrac{d}{t}=k\\\\\\.\ \quad \dfrac{d}{t}=45\\\\\\c)\quad \text{multiply both sides by t:}\\.\qquad d=45t$