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svlad2 [7]
3 years ago
8

If y varies jointly with x and z and y=40 when x=10 and z=9 find z when x =55 and y=105

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0

Answer:

  z = 189/44

Step-by-step explanation:

The "varies jointly" relationship can be expressed by ...

  y = kxz

We can find k from the given values.

  40 = k(10)(9)

  40/90 = k = 4/9 . . . divide by the coefficient of k

Now we want to find z for given values of x and y. That can be found from ...

  y = (4/9)xz

  9y/(4x) = z . . . . . multiply by 9/(4x)

Filling in the new numbers, we have ...

  z = 9·105/(4·55)

  z = 4 13/44 = 189/44 ≈ 4.2954...(repeating 54)

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Your answer is $2

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If 5 boxes of cereal cost $27.50, how much does one box of cereal cost? a) $5.50 b) $5.05 c) $550 d) .55​
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}

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A new superhero movie has its first showing and there are 155 people in line to see it. If the ratio of kids to adults waiting t
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The number of adults waiting to see the new superhero movie is 62.

<h3>How many adults are waiting in line?</h3>

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Looking at the ratio given in this question, we know that there are 1 1/2 (3 /2) more children than adults on the line to watch the new superhero movie.

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Complete the square:

x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2

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6 0
3 years ago
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SOVA2 [1]
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