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please answer:

y varies directly as x and y = 20 when x = 10. Find y when x = 15

x varies inversely as y when x = 50 when y = 5. Find x when y = 10

z varies jointly as x and y and z = 30 when x = 2 and y = 3. Find z when x = 5 and y = 10


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Sagot :

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Answer:

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Step-by-step explanation:

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Answer:

1. y = 30

2. x = 25

3. z = 250

Step-by-step explanation:

1. y varies directly as x and y = 20 when x = 10. Find y when x = 15

y = kx

20 = k • 10

20/10 = k

2 = k

-----

y = ?, x = 15

y = 2x

y = 2 • 15

y = 30

=====

x varies inversely as y when x = 50 when y = 5. Find x when y = 10

xy = k

50 • 5 = k

250 = k

-----

x = ?, y = 10

xy = 250

x • 10 = 250

x = 250/10

x = 25

=====

z varies jointly as x and y and z = 30 when x = 2 and y = 3. Find z when x = 5 and y = 10

z = kxy

30 = k • 2 • 3

30 = k • 6

30/6 = k

5 = k

-----

z = ?, x = 5, y = 10

z = 5xy

z = 5 • 5 • 10

z = 25 • 10

z = 250

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