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3 years ago

If y varies directly as x, find the constant of variation if y= 32 when x= 8

Mathematics

1 answer:

elixir [45]3 years ago

4 0

Answer:

K = 4

Step-by-step explanation:

If y varies directly as x

y = k x

Divide both sides by by x

K = y/x

When y = 32 and

x = 8

K = 32/8

K = 4

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2 years ago

A line passes through (4,5,) which points is also on the line

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3 years ago

A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats. If the number of boxes needed for pa

Kisachek [45]

Answer:

Total boxes= 75

Step-by-step explanation:

Giving the following information:

A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats.

First, we need to determine the number of bats that fits into a box:

Bats per box= 24,000 / 50

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3 0

2 years ago

Read 2 more answers

Fiona wrote the linear equation y = 2/5 x – 5. When Henry wrote his equation, they discovered that his equation had all the same

Hoochie [10]

we have

$y=\frac{2}{5}x-5$

Let's Isolate the variable y in each of the cases and then compare with Fiona's equation to determine the solution of the problem

case A) $x-\frac{5}{4}y= \frac{25}{4}$

Multiply by $4$ both sides

$4x-5y= 25$

$5y=4x-25$

Divide by $5$ both sides

$y=\frac{4}{5}x-5$

therefore

the case A) is not equal to Fiona's equation

case B) $x-\frac{5}{2}y= \frac{25}{4}$

Multiply by $4$ both sides

$4x-10y= 25$

$10y=4x-25$

Divide by $10$ both sides

$y=\frac{2}{5}x-2.5$

therefore

the case B) is not equal to Fiona's equation

case C) $x-\frac{5}{4}y= \frac{25}{2}$

Multiply by $4$ both sides

$4x-5y= 50$

$5y=4x-50$

Divide by $5$ both sides

$y=\frac{4}{5}x-10$

therefore

the case C) is not equal to Fiona's equation

case D) $x-\frac{5}{2}y= \frac{25}{2}$

Multiply by $2$ both sides

$2x-5y= 25$

$5y=2x-25$

Divide by $5$ both sides

$y=\frac{2}{5}x-5$

therefore

the case D) is equal to Fiona's equation

the answer is

$x-\frac{5}{2}y= \frac{25}{2}$

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2 years ago

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zvonat [6]

Answer:

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3 years ago