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3 years ago

What fractions are equivalent to 9/18

Mathematics

2 answers:

nadezda [96]3 years ago

6 0

When you reduce 9/18, it is equal to 1/2.

sergey [27]3 years ago

5 0

Equivalent fractions are fractions that can be simplified down to the same thing.

For example, 9/18 can be simplified down to 1/2

So, 1/2, 3/6, 4/8, 5/10, 6/12, etc are all equivalent fractions because they too can be simplified down to 1/2

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How do I figure this out

ycow [4]

Answer:

Step-by-step explanation:

positive numbers and numbers without and sign are positive, and you will go from positive large to negative large

7 0

3 years ago

Read 2 more answers

In Exercises 40-43, for what value(s) of k, if any, will the systems have (a) no solution, (b) a unique solution, and (c) infini

svet-max [94.6K]

Answer:

If k = −1 then the system has no solutions.

If k = 2 then the system has infinitely many solutions.

The system cannot have unique solution.

Step-by-step explanation:

We have the following system of equations

$x - 2y +3z = 2\\x + y + z = k\\2x - y + 4z = k^2$

The augmented matrix is

$\left[\begin{array}{cccc}1&-2&3&2\\1&1&1&k\\2&-1&4&k^2\end{array}\right]$

The reduction of this matrix to row-echelon form is outlined below.

$R_2\rightarrow R_2-R_1$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\2&-1&4&k^2\end{array}\right]$

$R_3\rightarrow R_3-2R_1$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&3&-2&k^2-4\end{array}\right]$

$R_3\rightarrow R_3-R_2$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&0&0&k^2-k-2\end{array}\right]$

The last row determines, if there are solutions or not. To be consistent, we must have k such that

$k^2-k-2=0$

$\left(k+1\right)\left(k-2\right)=0\\k=-1,\:k=2$

Case k = −1:

$\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-1-2\\0&0&0&(-1)^2-(-1)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-3\\0&0&0&-2\end{array}\right]$

If k = −1 then the last equation becomes 0 = −2 which is impossible.Therefore, the system has no solutions.

Case k = 2:

$\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&2-2\\0&0&0&(2)^2-(2)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&0\\0&0&0&0\end{array}\right]$

This gives the infinite many solution.

5 0

3 years ago

Whats the answer to x+56=45-x

adoni [48]

Answer:

Step-by-step explanation:

The answer is no solution or a 0 with a line through it

6 0

3 years ago

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A local animal shelter has 27 dogs and 23 cats. What percent of the animals are dogs?

SVEN [57.7K]

Answer:

54%

Step-by-step explanation:

total animals=27+23=50

$dogs=\frac{27}{50} \times100=54$

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3 years ago

Six boys are comparing their heights. Andy is taller than Dan but shorter than Ethan. Bill is taller than Ethan and Frank. Frank

Alexxx [7]

List of boys from tallest to shortest is: Bill, Frank, Ethan, Andy, Dan, Cory

<h3>Solution:</h3>

Given that Six boys are comparing their heights

The six boys are Andy, Dan, Ethan, Bill, Frank, Cory

To find: List the boys from tallest to shortest

Andy is taller than Dan but shorter than Ethan

So the arrangement goes like this:

Ethan

Andy

Dan

Bill is taller than Ethan and Frank:

So Bill is taller than ethan. Thus the arrangement from tall to short is made as:

Bill

Ethan

Andy

Dan

Also bill is taller than frank. So frank can be placed anywhere below bill

But given that Frank is taller than Ethan. So frank can be placed above ethan

Now the arrangement goes like this:

Bill

Frank

Ethan

Andy

Dan

Cory is shorter than Dan.

So cory can be placed below Dan.

Thus final arrangement from tallest to shortest boys are:

Bill

Frank

Ethan

Andy

Dan

Cory

5 0

3 years ago