So, if y varies jointly with x and z, that implies a direct proportionality.
The equation will look something like this:
y = xzk
"k" is the constant of proportionality.
Now, when y = 30, x =4, and z = 5:
30 = (4)(5)k
Multiplied:
30 = 20k
divided 30 by 20:
3/2 = k
So your final answer is:
The constant of proportionality in the equation y = xzk when y = 30, x = 4, and z = 5, is 3/2 or 1.5.
Hope that helps!
The solution to 
is x = 1
<h3>How to solve the equation?</h3>
The equation is given as:
Split the equation as follows:
Next, we plot the graph of both equations (see attachment)
From the attached graph, the intersection point is (1, 2)
Remove the y value
x = 1
Hence, the solution to is x = 1
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Answer:
The proof assumes that n=m=2k, which is false in general.
Step-by-step explanation:
If n is an even number, then n=2k for some integer k. In the same way, if m is an even number, then m=2j for some integer j. It is important to write two different letters, k and j, because these integers are not necessarily equal.
For example, take n=10 and m=30. Then k=5 and j=15, so they are different. The fallacy of this proof is that it assumes k=j.
A correct proof would continue like this: by the usual laws of algebra we have that n+m=2k+2j=2(k+j). Since k+j is an integer, n+m=2p for some integer p=k+j, hence n+m is even.
A 45 degree angle is 1/8 of a circle, so keep that in mind for later. You're looking for the circumference of that 1/8 fence, so you have to use the formula, circumference/diameter=pi. Now, the problem gives you half the diameter, a.k.a the radius, so double it to get 44 ft. then, you multiply that by 3.14 (pi) to get 138.16. Now take the 1/8, from before, of the circumfrence and you get your final answer, 17.27 ft!
Answer:
16.75
Step-by-step explanation:
33% of $25 is 8.25 You would do 25 - 8.25 = 16.75.
