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blagie [28]
3 years ago
6

The variable Z is directly proportional to X, and inversely proportional to Y. When X is 10 and Y is 4, Z has the value 47.5.

Mathematics
1 answer:
andrezito [222]3 years ago
7 0
Because Z is directly proportional to X and inversely proportional to Y, therefore
Z=k( \frac{X}{Y}),\\k=constant

When X=10 and Y=4, Z=47.5.
Therefore
k(10/4) = 47.5
   2.5k = 47.5
        k = 19.

That is,
Z= \frac{19X}{Y}

When X=13 and Y=10, obtain
Z = (19*13)/10 = 24.7

Answer: 24.7
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Read 2 more answers
Use the given equation to determine if the points in the brackets are on the graph
dmitriy555 [2]

The points in the brackets are on the graph are (0, 2) and (6, 10)

<h3>How to determine if the points in the brackets are on the graph?</h3>

The equation of the line is given as

4x - 3y = -6

The points are given as:

{(0,2),(1,3),(4,7),(6,10)}

Rewrite as

(x, y) = {(0,2),(1,3),(4,7),(6,10)}

Next, we substitute the x and y values in the equation 4x - 3y = -6

So, we have

(0, 2):

4(0) - 3(2) = -6

-6 = -6 ---- true

(1, 3):

4(1) - 3(3) = -6

-5 = -6 ---- false

(4, 7):

4(4) - 3(7) = -6

-5 = -6 ---- false

(6, 10):

4(6) - 3(10) = -6

-6 = -6 ---- true

Hence, the points in the brackets are on the graph are (0, 2) and (6, 10)

Read more about linear equations at:

brainly.com/question/2226590

#SPJ1

3 0
2 years ago
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