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devlian [24]
3 years ago
15

Z varies jointly with x and y. when x=2 and y=3, z=60. what is the value of z when x=4 and y=9?

Mathematics
1 answer:
laiz [17]3 years ago
3 0
<span>Z $ xy then Z = Kxy. When x = 2 and y = 3, and Z = 60, our constant of variation becomes 60 = K * 2 * 3 K = 10. Our constant of proportionality equals 10. We would need that in the second part of the equation. When x = 4 and y = 9, we have Z = 10 * 4 * 9 = 360</span>
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60 minutes = 1 hour (or 1 min=\frac{1}{60} hour)

Now, Jackson's speed is 1350 meters per hour. This can be converted to cm per minute as follows:

\frac{1350 m}{1 h}=\frac{1350\times 100 cm}{60 min}=2250 cm/min...Equation 1

Likewise, Jonah's swim speed in cm/min can be calculated as:

\frac{1250 mm}{1 s}=\frac{1250\times 0.1 cm}{\frac{1}{60}min } =\frac{125\times 60 cm}{1 min}=7500cm/min...Equation 2

As we can see clearly after comparing Equation 1 and Equation 2, Jonah's swim speed of 7500 cm/min is faster than that of Jackson.

Thus, option B is correct.

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