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3 years ago

How can i make 30/12 in simplest form

1 answer:

8 0

List the factors,
Circle the ones they share,
Write GCF and which number do they share that is the bigger,
Then do 30/12 divided by the greatest number they share and you will get the answer.

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Suppose that x and y vary inversely and that y=1/6 when x=3. Write a function that models the inverse variation and find y when

juin [17]

Answer:

The Inverse variation states a relationship between the two variable in which the product is constant.

i.e $x \propto \frac{1}{y}$

then the equation is of the form: $xy = k$ where k is the constant of variation.

As per the given information: It is given that x and y vary inversely and that y = 1/6 when x = 3.

then, by definition of inverse variation;

xy = k ......[1]

Substitute the given values we have;

$3 \cdot \frac{1}{6} = k$

$\frac{1}{2} = k$

Now, find the value of y when x = 10.

Substitute the given values of x=10 and k = 1/2, in [1] we have;

$10y = \frac{1}{2}$

Divide both sides by 10 we get;

$y = \frac{1}{20}$

therefore, a function that models the inverse variation is; $xy = \frac{1}{2}$ and value of $y = \frac{1}{20}$ when x = 10.

4 0

4 years ago

Read 2 more answers

Solve the differential equation. y' + 5xey = 0.

Gwar [14]

Answer:

The solution is $y = - ln(\frac{5}{2}x^{2} + C)$

Step-by-step explanation:

To solve the differential equation, we will find $y$

From the given equation, y' + 5xey = 0.

That is, $y' + 5xe^{y} = 0$

This can be written as

$\frac{dy}{dx} + 5xe^{y} = 0$

Then,

$\frac{dy}{dx} = - 5xe^{y}$

$\frac{dy}{e^{y}} = - 5x dx$

Then, we integrate both sides

$\int {\frac{dy}{e^{y}}} =\int {- 5x dx}$

$\int {e^{-y}dy }} =\int {- 5x dx}$

Then,

$-e^{-y} = -\frac{5}{2}x^{2} + C$

$e^{-y} = \frac{5}{2}x^{2} + C$

Then,

$ln(e^{-y}) = ln(\frac{5}{2}x^{2} + C)$

Then,

$-y = ln(\frac{5}{2}x^{2} + C)$

Hence,

$y = - ln(\frac{5}{2}x^{2} + C)$

8 0

3 years ago

If s is 1/4 and A is 12s square units what is the value of A

Makovka662 [10]

Answer:

A would be 3 square units.

Step-by-step explanation:

12 × 1/4 = A

12 × 1/4 = 3

A = 3 square units , acknowledging that the value of s is 1/4.

4 0

3 years ago

Part 2: Write a rule to describe each transformation NO LINKS! NO ASSESSMENT!

NikAS [45]

Answer:

(x, y) → (x, -y)

Step-by-step explanation:

We can see each corresponding point of the figures is mirrored over x- axis.

This is a reflection and the rule is:

(x, y) → (x, -y)

5 0

2 years ago

Read 2 more answers

A=2 pie r squared + 2 pie r h solve for h

Sindrei [870]

A=2pie r^2 + 2pie rh so get h alone.
first take out the common factor of 2pie 2, so A=2pie r (r+h)
then divide by 2pie r, A/2pie r= r+h
then subtract r, so (A/2pie r) - r= h

8 0

3 years ago