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Studentka2010 [4]
3 years ago
6

HELPPPPPPPP I NEED THE ANSWER PLZZZZZZZZZZZ!!!!!!!!!!! the solutions plz

Mathematics
1 answer:
Vesnalui [34]3 years ago
6 0

Answer:

  1. c = -4.5
  2. z = 20
  3. x = -12
  4. a = -4/7

Step-by-step explanation:

A way to do this that will always work is ...

  • eliminate parenthses and collect terms
  • subtract any constants from the left side
  • subtract any variable terms from the right side
  • divide by the coefficient of the variable

1.

  • 8c -11 -6c = -2
  • 2c -11 = -2
  • 2c = 9
  • c = 4.5

2.

  • 3z +4 -2z -9 = 15
  • z -5 = 15
  • z = 20

3.

  • 12 -4x +18 = 36 +4x +18 -6x
  • 30 -4x = 54 -2x
  • -4x = 24 -2x
  • -2x = 24
  • x = -12

4.

  • 36a -9a -5 = 6a -17
  • 27a -5 = 6a -17
  • 27a = 6a -12
  • 21a = -12
  • a = -12/21 = -4/7
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Etc.

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So when you look at this problem with that analogy in mind, all it is is simple addition and subtraction. 

If you create a survey and 82% of people vote yes, how many, out of 100%, voted yes.

To find this we take 100% (The whole pie or everybody who voted) and - the portion of the pie we ate or everyone who voted yes, 82%, which will give us the answer, everyone who voted no or the pie that is left on the platter.

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7 0
3 years ago
Need help with number 3 inequalities with variables on both sides
Volgvan

Answer:

x ≤ 2

Step-by-step explanation:

We are given the inequality:

\displaystyle{2x-3 \leq \dfrac{x}{2}}

First, get rid of the denominator by multiplying both sides by 2:

\displaystyle{2x\cdot 2-3\cdot 2 \leq \dfrac{x}{2}\cdot 2}\\\\\displaystyle{4x-6 \leq x}

Add both sides by 6 then subtract both sides by x:

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The equation that matches the given table is

y = 10x + 40

Solution:

General equation of a line : y = mx + c

Let us find the equation of the table.

<u>Common differences of X: </u>

0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1

<u>Common differences of Y: </u>

50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10

$m=\frac{\Delta y}{\Delta x}

$m=\frac{10}{1}

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Substitute m = 10 in general equation of a line

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To find the constant term, substitute x = 0 and y = 40.

40 = 10(0) + c

40 = 0 + c

40 = c

c = 40

Therefore the equation of a line is y = 10x + 40.

Hence the equation that matches the given table is y = 10x + 40.

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