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3 years ago

If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?

Mathematics

2 answers:

VARVARA [1.3K]3 years ago

3 0

Answer:

k = 5

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 20 when x = 4, then

20 = 4k ( divide both sides by 4 )

5 = k

melisa1 [442]3 years ago

3 0

Answer:

The value of k = 5

Step-by-step explanation:

We know when y varies directly as x, we get the equation

y ∝ x

y = kx

Here 'k' is the 'constant' of proportionality

Given

y = 20, when x = 4

so substituting y = 20, x = 4 in the equation y = kx

y = kx

20 = k(4)

k = 20 / 4

k = 5

Therefore, the value of k = 5

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If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in

monitta

$x = \frac{-11}{3}$

Step-by-step explanation:

Here we have , If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in complete sentences the next steps necessary to completely solve the equation for x. Let's solve this :

2x - 8 = 5x + 3

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3 years ago

If 5,142 x 679= 3,491, then 51.42 x 67.9

nirvana33 [79]

Answer:

3.491

Step-by-step explanation:

move the decimal over 3 places.

5 0

3 years ago

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Anon25 [30]

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3 years ago

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Elza [17]

Answer:

20(pi)

Step-by-step explanation:

• equation for the circumference of a circle= 2(pi)r

• You are given the diameter ( 20ft) but you need the radius (r) for the equation.

• divide 20 by 2 to get the radius since it is half of the diameter.

• 20/2=10 so c= 2(pi)(10)

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• plug in pi and your final answer is 20(pi)

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3 years ago

2x+6=76 Show your steps

Gennadij [26K]

Hola I’m Carribbean:)

Answer:

X = 35

Step-by-step explanation:

Subtract 6 from both sides.

2x+6−6=76−6

2x=70

Divide both sides by 2.

$\frac{2x}{2}$ ÷ $\frac{70}{2}$

= 35

8 0

3 years ago

Read 2 more answers