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2 years ago

Which of the following lists 3/6, 112, 15/18 in order from least to greatest?

Mathematics

2 answers:

Leona [35]2 years ago

4 0

Answer:

3/6 ⇒ 9/12⇒ 15/18

Step-by-step explanation:

To put the following lists 3/6,9/12, 15/18 in order from least to greatest we can turn the fraction into decimal..

3/6 = 0.5

15/18 = 0.83333333333

9/12= 0.75

Hence from least to greatest:

0.5,0.75, 0.83333333333

Also know as:

3/6,9/12,15/18

~lenvy~

Inessa [10]2 years ago

4 0

Answer:

Order 3/6, 9/12, and 15/18 from least to greatest.

Keep in mind, there are multiple ways into finding the answer to this question.

First, we must simplify these fractions as much as possible then find a possible common denominator.

3/6 simplifies to 1/2

9/12 simplifies to 3/4

15/18 simplifies to 5/6

Now we have fractions of 1/2(3/6), 3/4(9/12), and 5/6(15/18).

If we look at these fractions, we can see that they have a common denominator of 12. So let's convert these fractions into having a denominator of 12;

1/2 x 6/6 = 6/12

3/4 x 3/3 = 9/12

5/6 x 2/2 = 10/12.

So now we have the fractions 6/12(3/6), 9/12(9/12), and 10/12(5/6).

These are already ordered from least to greatest.

So therefore, this'll be ordered;

3/6, 9/12, and 15/18.

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Need help understanding what to do

Juliette [100K]

I believe you are expected to simplify. To do this all you do is group like terms (x, x², x³ etc.) and then simplify the coefficients.

13. 10z + 7z - 19z² - 5z² - 17z

first you can rearrange and group like terms (remember the bring the sign in front of each term with it). I would do it like this:
-19z² - 5z² +10z + 7z - 17z

Now simplify the coefficients:

-24z² + 0z

you can omit the 0z and your simplified answer is

-24z²

Main thing to remember here is that z and z² cannot be simplified together, nor can any variable that has an exponent because the exponent makes them differ.

6 0

3 years ago

A) Use the definition of Laplace transform to find L{f }. (Do the integrals.) For what values of s is L{f } defined?f(t) = (2t+1

kiruha [24]

For the given function f(t) = (2t + 1) using definition of Laplace transform the required solution is L(f(t))s = [ ( 2/s²) + ( 1/s) ].

As given in the question,

Given function is equal to :

f(t) = 2t + 1

Simplify the given function using definition of Laplace transform we have,

L(f(t))s = $\int\limits^\infty_0 {f(t)e^{-st} } \, dt$

= $\int\limits^\infty_0[2t +1] e^{-st} dt$

= $2\int\limits^\infty_0 te^{-st} + \int\limits^\infty_0e^{-st} dt$

= 2 L(t) + L(1)

L(1) = $\int\limits^\infty_0e^{-st} dt$

= (-1/s) ( 0 -1 )

= 1/s , ( s > 0)

2L ( t ) = $2\int\limits^\infty_0 te^{-st}$

= $2[t\int\limits^\infty_0 e^{-st} - \int\limits^\infty_0 ({(d/dt)(t) \int\limits^\infty_0e^{-st} \, dt )dt]$

= 2/ s²

Now ,

L(f(t))s = 2 L(t) + L(1)

= 2/ s² + 1/s

Therefore, the solution of the given function using Laplace transform the required solution is L(f(t))s = [ ( 2/s²) + ( 1/s) ].

Learn more about Laplace transform here

brainly.com/question/14487937

#SPJ4

8 0

1 year ago

Find the x−and y−intercepts. 3x + 12y = −48

Yanka [14]

Answer:

y-intercept: (0,-4)

x-intercept: (-16,0)

Step-by-step explanation:

To solve for X, Substitute 0 for Y and continue.

To solve for Y, Substitute 0 for X and continue.

3 0

3 years ago

Donald's car gets about 30 miles per gallon. About how many miles can Donald drive on 9.2 gallons of gas? At $3.15 a gallon, abo

denis-greek [22]

30x9.2= 276 miles 9.2x3.15=$28.98 So the car can drive 276 miles if you put $28.98 of gas in it.

8 0

3 years ago

Multiply 3/sqrt17- sqrt2 by which fraction will produce an equivalent fraction with rational denominator

zzz [600]

Answer:

Step-by-step explanation:

To simplify something that looks like $\frac{\text{whatever}}{\sqrt{a}-\sqrt{b}}$ you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:

$\sqrt{a}+\sqrt{b}$ .

If you had $\frac{\text{whatever}}{\sqrt{a}+\sqrt{b}}$ , then you would multiply top and bottom the conjugate of $\sqrt{a}+\sqrt{b}$ which is $\sqrt{a}-\sqrt{b}$ .

The conjugate of a+b is a-b.

These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.

Let's see:

(a+b)(a-b)

I'm going to use foil:

First: a(a)=a^2

Outer: a(-b)=-ab

Inner: b(a)=ab

Last: b(-b)=-b^2

--------------------------Adding.

a^2-b^2

See -ab+ab canceled so all you had to do was the "first" and "last" of foil.

This would get rid of square roots if a and b had them because they are being squared.

Anyways the conjugate of $\sqrt{17}-\sqrt{2}$ is

$\sqrt{17}+\sqrt{2}$ .

This is the thing we are multiplying and top and bottom.

3 0

3 years ago

Read 2 more answers