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2 years ago

22. A question bank has questions of Physics and

Mathematics

1 answer:

trasher [3.6K]2 years ago

7 0

Step-by-step explanation:

Let the number of books of Physics be x . Then , No. of chemistry books =3.5x

Now , according to question :

x+3.5x=90

Or , 4.5x=90

Or , x=90/4.5

Or , x=20

Now ,

3.5x= 3.5×20

= 70

Therefore , there were 70 chemistry books and 20 physics books in that question bank.

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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

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The correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right. The correct options are the third and fourth options

<h3>Solving inequality</h3>

From the question, we are to solve the inequality

The given inequality is

–3(2x – 5) < 5(2 – x)

First, clear the brackets

–6x + 15 < 10 – 5x

NOTE: This is one of the correct representations of the inequality

Collect like terms

-6x + 5x < 10 - 15

-x < -5

Divide both sides by -1 and flip the sign

x > 5

Representing this on a number line, we get a number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right.

Hence, the correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right. The correct options are the third and fourth options

Learn more on Inequalities here: brainly.com/question/246993

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