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Elanso [62]
3 years ago
11

Solve the following inequality in two ways and make a claim as to which

Mathematics
1 answer:
NikAS [45]3 years ago
5 0

Answer:

The solution of the given inequality  n < 5

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given inequality

                     \frac{1}{4} (8 n -12 ) < n +2

<u><em>Step(i)</em></u>:-

 Cross multiplication '4' we get

                    8 n - 12 < 4 ( n +2)

                    8 n - 12 < 4 n + 4×2

                    8 n - 12 < 4 n +8

      Subtracting  '4 n ' on both sides, we get

                 8 n - 4 n - 12 < 4 n - 4 n +8

                 4 n - 12  <  8

<u><em>Step(ii):-</em></u>

Adding ' 12 ' on both sides , we get

                4 n -12 + 12 < 8 + 12

                               4 n < 20

Dividing "4' on both sides , we get

                                 n < 5

The solution is n < 5

<u><em>Conclusion:-</em></u>

The solution of the given inequality  n < 5

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Answer:

She can be a member for 8 months

Step-by-step explanation:

Let x be the number of months

30 + 10.5(x) = 114

30 + 10.5x = 114

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10.5x = 84

x = 84/10.5

x = 8 mints

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3 years ago
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Murrr4er [49]

Answer:

17 floors

Step-by-step explanation:

1 floor every 4 seconds.

90/4 = 22.5

40 - 22.5 = 17.5

17.5 is 17ish floors, and is the only answer that is close to 17 floors.

8 0
3 years ago
Solve the system of equations.<br><br>- 9x + 4y = 6<br><br>9x + 5y = -33​
liubo4ka [24]

Let us solve this system of equations by using the elimination method. Adding the 2 equations, we get

9x + 5y - 9x + 4y = -33 + 6

9y = -27

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Substituting this value of y in the first equation, we get

-9x + 4(-3) = 6

-9x - 12 = 6

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Therefore, x = -2, and y = -3. Hope this helps! If you have any questions, feel free to ask.

7 0
3 years ago
BRAINLIEST!!Felicia had $80 when she went to a music store that charges $18 for each CD. She needs to have no less than $20 in h
xxMikexx [17]

Answer:

The possible number of CDs she could buy is 1, 2, and 3.

Step-by-step explanation:

First, you have to make an equation to solve to find the answer(s):

  • 80 - (18 · x) ≥ 20
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1.) 80 - (18 · 1) ≥ 20

80 - 18 · 1 ≥ 20

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Since 62 ≥ 20 is always true, there are infinitely many solutions.

2.) 80 - (18 · 2) ≥ 20

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Since 44 ≥ 20 is always true, there are infinitely many solutions.

3.) 80 - (18 · 3) ≥ 20

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26 ≥ 20

Since 26 ≥ 20 is always true, there are infinitely many solutions.

4.) 80 - (18 · 4) ≥ 20

80 - 18 · 4 ≥ 20

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Since 8 ≥ 20 is false, there is no solution.

5.) 80 - (18 · 5) ≥ 20

80 - 18 · 5 ≥ 20

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Since - 10 ≥ 20 is false, there is no solution.

4 0
3 years ago
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{1, -2),(-2, 0),(-1, 2),(1, 3)}<br> Function
Over [174]

Answer:

this is a function

Step-by-step explanation:

the x does not repeat itself

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