Rewrite in simplest terms (10x−2y)−(x+3y)

Answers

Answer 1

Answer:

Answer:

The simplified expression is 9x - 5y.

To simplify the expression we can distribute the negative sign to the parenthesis. We can also get rid of the parenthesis of both terms once we have distributed.

$(10x-2y)-x-3y$

$10x-2y-x-3y$

We can now combine like terms:

$9x-5y$

So, our simplified expression is 9x - 5y.

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if the letters of the word 'MOTHER'are written in all possible order and these words are written out as in dictionary ,find the rank of the word 'MOTHER'.

Answers

There are 6 letters, each different
Before MOTHER, words from E , H will come
Words from E = 5! (there are 5 letters to arrange)
Words from H = 5!( there are 5 letters to arrange)

Now words starting by M will come.
First ME will have = 4! (as 4 letters will be arranged)
Then MH = 4!
Now words with MO
First words starting with MOE... =3!
And words starting with MOH... =3!
the words starting with MOR... =3!

Now, words starting from MOT will come
words starting with MOTE.. = 2!
then after words starting from MOTH will come and first word will MOTHER

so, total no. of words before MOTHER = 5! + 5! + 2* 4! + 3 * 3!
= 120 +120 + 48 + 18
= 306
so, rank of MOTHER = 307

Which of these answer choices show a pair of equivalent expressions?