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Ira Lisetskai [31]
2 years ago
4

Aaden wants to get a subscription to a library. there are two subscription options one of which charges a fixed 96 dollar annual

fee and the other which charges 3 dollars per book he borrows.
what does point Q represent in this context?

Mathematics
1 answer:
Rzqust [24]2 years ago
8 0

Answer:

The data we have is:

Library A charges $96 per year.

Library B charges $3 per book he borrows.

Let's find the number of books X that he needs to borrow in order to spend the same amount in each library:

$3*X = $96

X = 96/3 = 32.

This means that if Aaden borrows 32 books per year, is the same for him if he chooses library A or B.

If he borrows more than 32 books per year, library A will be cheaper. (if he borrows 33 books, library B costs 33*$3 = $99, which is larger than the $96 of library A)

If he borrows less than 32 books per year, library B will be cheaper. (if he borrows 31 books library B costs $3*31 = $93, which is cheaper than the$96 of library A)

Step-by-step explanation:

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Answer: Triangle LMN is an obtuse triangle.

The angle at vertex L is acute.

The angle at vertex N is acute.

Step-by-step explanation:

Here,  triangle LMN has an obtuse angle at vertex M,

Thus, by the definition of obtuse angle triangle LMN is an obtuse triangle,

Now, Angle M is obtuse,

⇒ 90° < m∠ M < 180°

Since, by the property of a triangle,

m∠ L + m∠ M + m∠ N = 180°

⇒  m∠ M = 180° - ( m∠ L+ m∠ N )

⇒ 90° < 180° - ( m∠ L+ m∠ N ) < 180°

⇒ 90° - 180° < - ( m∠ L+ m∠ N ) < 0

⇒ -90° < - ( m∠ L+ m∠ N ) < 0

⇒ 90° >  ( m∠ L+ m∠ N ) > 0      ( Since, a < b ⇒ - a > - b)

⇒ 90° > m∠ L and 90° > m∠ N

⇒ Both angle L and angle N are acute.

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Alan says that two lines in the coordinate plane are perpendicular if and only if the slopes of the lines are m and 1m. Identify
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That is the first error of Alan.

Now, there is another error.

If m = 0, then -1/m tends to minus infinity (in this case we would have a vertical line).

But we can not really divide by zero, so we should state that:

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Find the value of y for which the value of 1.7y+37 is 14 less than the value of 9.3y–25 HELP QUICK
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Answer:

y=10

Step-by-step explanation:

1.7y+37 is 14 less than the value of 9.3y–25

  • 1.7y + 37 = 9.3y - 25 - 14
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