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zubka84 [21]
3 years ago
7

Find the possible value of n in the inequality -3n <81

Mathematics
2 answers:
jek_recluse [69]3 years ago
8 0
<span>Given the inequality -3n < 81, if we divide both sides by -3, the inequality sign changes. That means we have n > -27. Thus, the answer is d. </span>
vekshin13 years ago
7 0

Answer:

Option D. n > -27

Step-by-step explanation:

The given inequality is -3n < 81

By dividing this inequality with 3 inequality remains unchanged.

\frac{-3n}{3}< \frac{81}{3}

-n < 27

Now subtract 27 on both the sides

-n - 27 < 27 - 27

-n - 27 < 0

Now add n on both the sides

-n + n - 27 < 0 + n

-27 < n

n > -27

In other words,

when we change the signs of the terms on both the sides of the inequality, inequality gets reversed (sign of greater than becomes less than or sign of less than becomes greater than).

Therefore, Option d. will be the answer.

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Tickets to a concert cost either $12 or $15. A
olga_2 [115]

Answer:

  • 12x +15y = 4140; x + y = 300
  • x = 120; y = 180

Step-by-step explanation:

The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.

The equations are ...

  12x +15y = 4140; x +y = 300

__

Using the second equation to write an expression for x, we have ...

  x = 300 -y

Substituting this into the first equation gives ...

  12(300 -y) +15y = 4140

  3600 +3y = 4140

  y = (4140 -3600)/3 = 180

  x = 300 -180 = 120

The number of tickets sold is ...

  $12 tickets -- 120

  $15 tickets -- 180

_____

You might want to notice that the equation we ended up with:

  4140 -12(300) = 3y

is equivalent to this "word solution." This can be done in your head; no equations required.

If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.

6 0
3 years ago
Work out 252% of 120.
Alenkinab [10]

Answer:

302.4

Step-by-step explanation:

252% × 120 =

(252 ÷ 100) × 120 =

(252 × 120) ÷ 100 =

30,240 ÷ 100 =

302.4

8 0
3 years ago
Read 2 more answers
What is the range of f(x) = 3x + 9?
muminat
I think the answer is 2
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4 years ago
So one please help just click on the picture
Vlad [161]
That would be the SSS postulate. 
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A trucking company is hired to take 462 glass candles to a gift shop. The gift shop will pay the trucking company a $100 fee, pl
Otrada [13]

100  + 150 = 250 - 4 = 254
3 0
4 years ago
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