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3 years ago

A quantity h varies directly with w and inversely with p. If h = 2, w = 4, and p = 6. What is the constant of variation?

Mathematics

2 answers:

Shalnov [3]3 years ago

7 0

Answer with Step-by-step explanation:

A quantity h varies directly with w and inversely with p.

i.e. h ∝ w/p

Let k be the constant of variation

then, h = kw/p

h = 2, w = 4, and p = 6

We have to find the value of k

2 = 4k/6

Multiplying both sides by 6, we get

12 = 4k

dividing both sides by 4, we get

k = 3

Hence, Constant of variation is:

GREYUIT [131]3 years ago

5 0

H α w/p

h = kw/p where k = constant of variation.

h*p = kw

hp/w = k

k = hp/w

k = 2*6/4

k = 3

Constant of variation = 3.

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Answer:

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Step-by-step explanation:

Given the expression (a+b+c)(d+e+f)

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Hence, there are 2 factors in given expression.

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3 years ago

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Answer:

0.0174 miles

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Step-by-step explanation:

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3 years ago

Gamers charges $8 to rent a video game. The Discount Club charges $4 to rent a video game after a membership fee of $10 is paid.

tatiyna

Answer

8x>10+4x for x=>3

Just two games.

for the third game you would have paid $24 in total

Step-by-step explanation:

Given that

gamers charge $8

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total for the Discount club is given by the expression

let x be the number of games rent

Y=10+4

So at the first rent, you will pay Discount Club

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and the third rent you would have spent

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the inequality is given as

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3 years ago

Devin is having trouble with his assignment. His shown work is as follows: − 3 5 5 3 = − 3 5 × 5 3 = − 15 15 = −1 However, this

Serhud [2]

Question:

Devin is having trouble with his assignment. His shown work is as follows:

$\frac{-3}{5} / \frac{5}{3} = \frac{-3}{5} * \frac{5}{3} = \frac{-15}{15} = -1$

However, this answer does not match the answer that his teacher gives him.

What is Devin’s mistake?

Answer:

See Explanation Below

Step-by-step explanation:

Given

$\frac{-3}{5} / \frac{5}{3} = \frac{-3}{5} * \frac{5}{3} = \frac{-15}{15} = -1$

Required

Spot and correct the mistake

Devin's mistake is in between step 1 and step 2.

To divide fractions;

You start by converting the division sign to multiplication sign.

But when doing this, you have to consider that the denominator and numerator of the second fraction will swap positions.

So, Devin's mistake is at

$\frac{-3}{5} / \frac{5}{3} = \frac{-3}{5} * \frac{5}{3}$

Because he didn't swap the position of 5 and 3 in the second fraction when changing the division to multiplication.

His calculation should be as follows

$\frac{-3}{5} / \frac{5}{3} = \frac{-3}{5} * \frac{3}{5}$

$\frac{-3}{5} / \frac{5}{3} = \frac{-9}{25}$

If he wishes to leave his answer in decimal, it'll be

$\frac{-3}{5} / \frac{5}{3} = -0.36$

4 0

3 years ago

How much fencing is required for a circular garden with a radius of 14 m use 22/7 for pie

In-s [12.5K]

Answer:

88 m

Step-by-step explanation:

$\boxed{ \bold{formula = 2 \: \pi \: r}}$

= 2 × 22/7 × 14

= 2 × 22 × 2

= 88 m

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3 years ago