Suppose y varies inversely as x, and y=25 when x=3. Find x when y=15

Mathematics

1 answer:

malfutka [58]2 years ago

3 0

Answer:

varies inversely as

then

XXX

⋅

for some constant

We are told when

then

XXX

⋅

XXX

⇒

and

XXX

⋅

Therefore when

XXX

⋅

XXX

→

Step-by-step explanation:

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The sum of the measures of angle x and y is 90. If the measures of angle x is 30 less than twice the measures of angle y what is

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First set up your two equations:

x + y = 90

x = 2y - 30

Then substitute what x equals in the second equation into the first equation:

(2y -30) + y = 90

Now solve for y:

3y -30 = 90
3y = 120
y = 40

Then use y = 40 and substitute the value for y into one of your original equations and solve for x. I'll choose the first one, but either one will work.

x+ 40 = 90
x = 50

So your solution is x = 50 and y = 40

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