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Alex17521 [72]
2 years ago
10

Part A

Mathematics
1 answer:
klasskru [66]2 years ago
7 0

Step-by-step explanation:

<u>Monthly amounts added to each line</u>

  • rent: $13,800 annually                                      $13800/12   = $1150
  • utilities: $5,400 annually                                  $5400/12    = $450
  • cell phone: $534 semiannually                        $534/6        = $89
  • internet: $204 semiannually                            $204/6        = $34
  • car loan: $2,274 semiannually                         $2274/6      = $379
  • insurance: $720 quarterly                                $720/3        = $240
  • groceries: $4,332 annually                              $4332/12     = $361
  • gym membership: $288 annually                   $288/12       = $24
  • entertainment: $420 annually                         $420/12       = $35

<u>Total monthly expenses:</u>

  • 1150 + 450 + 89 + 34 + 379 + 240 + 361 + 24 + 35 = 2762
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DiKsa [7]
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7 0
3 years ago
Find the median of the data.
kipiarov [429]

Answer:

  • 92.5

Step-by-step explanation:

<u>The data given:</u>

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<u>Put the data in the ascending order:</u>

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3 years ago
Kevin says that “a line segment is the part of a line containing two endpoints.” What additional information is needed to make t
kakasveta [241]

The statement "That does not extend in both directions." will make the definition, precise.

Kevin's line segment definition is correct.

However, the end points in a line segment implies that the line segment does not extend past its two end points.

So, to make it precise;

Kevin needs to include that the line segment does not extend in both directions, in the definition.

Hence, option (c) is correct.

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6 0
3 years ago
Ayuda con mates por favor
QveST [7]

Answer:

a) x = -1 and  y = 5, b) x = 2 and y = -1, c) x = -2 and y = 1, d) x = 2 and y = -9, e) x = 2 and y = -2, f) x = 2 and y = -1, g) x = 2 and y = -1, h) x = 1 and y = 2.

Step-by-step explanation:

Each system is solved as follows (Cada sistema es resuelto como sigue):

a) 2\cdot x + y = 3 and 3\cdot x - y = -8

y = 3 - 2\cdot x

3\cdot x - 3 + 2\cdot x = -8

5\cdot x = -5

x = -1

y = 5

b) x - 2\cdot y = 4 and -x+3\cdot y = -5

x = 4 + 2\cdot y

-4-2\cdot y+3\cdot y = - 5

-4+y = -5

y = -1

x = 2

c) -2\cdot x + 5\cdot y = 9 and x - y = -3

x = y-3

-2\cdot y +6 +5\cdot y = 9

3\cdot y = 3

y = 1

x = -2

d) 5\cdot x - 4\cdot y = 2 and 3\cdot x + 2\cdot y = -12

3\cdot x + 2\cdot y = -12

6\cdot x + 4\cdot y = -24

4\cdot y = -6\cdot x -24

5\cdot x +6\cdot x +24 = 2

11\cdot x = -22

x = 2

y = -9

e) x + y = 0 and 2\cdot x +3\cdot y = -2

y = -x

2\cdot x -3\cdot x = -2

-x = -2

x = 2

y = -2

f) 3\cdot x + 5\cdot y = 1 and x + y = 1

y = 1 - x

3\cdot x + 5 - 5\cdot x = 1

-2\cdot x = -4

x = 2

y = -1

g) 5\cdot x - 2\cdot y = 12 and 4\cdot x + 3\cdot y = 5

x = \frac{12+2\cdot y}{5}

x = \frac{5-3\cdot y}{4}

\frac{12+2\cdot y}{5} = \frac{5-3\cdot y}{4}

4\cdot (12+2\cdot y) = 5\cdot (5-3\cdot y)

48 + 8\cdot y = 25 - 15\cdot y

23\cdot y = -23

y = -1

x = 2

h) 7\cdot x + 8\cdot y = 23 and 3\cdot x + 2\cdot y = 7

3\cdot x + 2\cdot y = 7

12\cdot x + 8\cdot y = 28

8\cdot y = 28 - 12\cdot x

7\cdot x +28-12\cdot x = 23

-5\cdot x = -5

x = 1

y = 2

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